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The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras [email protected] Sept. 25 2006 J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 1 / 50

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Page 1: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

The Mechanical Behavior of Asphalt

J. Murali Krishnan

Department of Civil EngineeringIIT Madras

[email protected]

Sept. 25 2006

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 1 / 50

Page 2: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Outline

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 2 / 50

Page 3: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Outline

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 2 / 50

Page 4: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Outline

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 2 / 50

Page 5: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Outline

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 2 / 50

Page 6: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 3 / 50

Page 7: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Maxwell’s Observation

“What is required to alter the form of a soft solid is a sufficientforce, and, this when applied produces its effect at once. In thecase of viscous fluid it is time which is required, and if enoughtime is given, the very smallest force will produce a sensible effect,such as would require a very large force if suddenly applied. Thusa block of pitch may be so hard that you cannot make a dent in itby striking it with your knuckles; and yet it will in course of time,flatten itself by its own weight, and glide down hill like a stream ofwater."

J. C. Maxwell, Theory of Heat, Ninth Edition, 1888

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 4 / 50

Page 8: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pitch Drop Experiment

One of the oldest running experiments in the history of scienceProfessor Parnel started this experiment in 1927 in University ofQueensland

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 5 / 50

Page 9: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pitch Drop Experiment

One of the oldest running experiments in the history of scienceProfessor Parnel started this experiment in 1927 in University ofQueensland

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 5 / 50

Page 10: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pitch Drop Experiment

Year Event1930 The stem was cut1938 (December) 1st drop fell1947 (February) 2nd drop fell1954 (April) 3rd drop fell1962 (May) 4th drop fell1970 (August) 5th drop fell1979 (April) 6th drop fell1988 (July) 7th drop fell2000 (November) 8th drop fell

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 6 / 50

Page 11: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

Trouton conducted one of theearliest experiments on torsionand uniaxial compression oncylinders of pitch etc.“. . . the rate of flow of thematerial under shearing stresscannot be in simple proportionto stress . . . ”

Trouton(1906), Proc. R. Soc.London, Series A 57(519), 426-440.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 7 / 50

Page 12: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

Trouton conducted one of theearliest experiments on torsionand uniaxial compression oncylinders of pitch etc.“. . . the rate of flow of thematerial under shearing stresscannot be in simple proportionto stress . . . ”

Trouton(1906), Proc. R. Soc.London, Series A 57(519), 426-440.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 7 / 50

Page 13: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

Trouton conducted one of theearliest experiments on torsionand uniaxial compression oncylinders of pitch etc.“. . . the rate of flow of thematerial under shearing stresscannot be in simple proportionto stress . . . ”

Trouton(1906), Proc. R. Soc.London, Series A 57(519), 426-440.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 7 / 50

Page 14: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

Trouton conducted one of theearliest experiments on torsionand uniaxial compression oncylinders of pitch etc.“. . . the rate of flow of thematerial under shearing stresscannot be in simple proportionto stress . . . ”

Trouton(1906), Proc. R. Soc.London, Series A 57(519), 426-440.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 7 / 50

Page 15: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

Trouton conducted one of theearliest experiments on torsionand uniaxial compression oncylinders of pitch etc.“. . . the rate of flow of thematerial under shearing stresscannot be in simple proportionto stress . . . ”

Trouton(1906), Proc. R. Soc.London, Series A 57(519), 426-440.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 7 / 50

Page 16: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

‘Elastic recovery’ in a concentric cylinder viscometerBroome (1939), Journal of Institute of Petroleum, 25, 509-530.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 8 / 50

Page 17: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

Air-blown Gulf Coast II Asphalts of 6 different typesRomberg and Traxler(1947), Journal of Colloid Science, 2, 33-47.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 9 / 50

Page 18: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

‘Plastic’ Bitumen: . . . its viscosity is not constant, but fluctuateswith the shear stress. . .

Maltenes themselves are not plastic; not until asphaltenes arepresent can there be any plasticity.

The influence of pressure is far greater upon asphaltic bitumensthan upon lubricating oils. For instance, under 100 atmospheres,the viscosity of a non-plastic, soft asphaltic bitumen at 35◦C,increased to 21

2 times its original figure.

Saal and Koens (1933), Journal of the Institution of Petroleum Technologists, 19,176-212.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 10 / 50

Page 19: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

‘Plastic’ Bitumen: . . . its viscosity is not constant, but fluctuateswith the shear stress. . .

Maltenes themselves are not plastic; not until asphaltenes arepresent can there be any plasticity.

The influence of pressure is far greater upon asphaltic bitumensthan upon lubricating oils. For instance, under 100 atmospheres,the viscosity of a non-plastic, soft asphaltic bitumen at 35◦C,increased to 21

2 times its original figure.

Saal and Koens (1933), Journal of the Institution of Petroleum Technologists, 19,176-212.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 10 / 50

Page 20: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Some Early Experiments on Asphalt

‘Plastic’ Bitumen: . . . its viscosity is not constant, but fluctuateswith the shear stress. . .

Maltenes themselves are not plastic; not until asphaltenes arepresent can there be any plasticity.

The influence of pressure is far greater upon asphaltic bitumensthan upon lubricating oils. For instance, under 100 atmospheres,the viscosity of a non-plastic, soft asphaltic bitumen at 35◦C,increased to 21

2 times its original figure.

Saal and Koens (1933), Journal of the Institution of Petroleum Technologists, 19,176-212.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 10 / 50

Page 21: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure Dependence on Viscosity of Bitumen - 1950

0.001

0.01

0.1

1

10

100

1000

0 100 200 300 400 500

Vis

cosi

ty, P

.106

Pressure, kg/sq.cm

20o C30o C40o C

49.4o C

Viscosity of California (residual) bitumen at different temperaturesand pressures.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 11 / 50

Page 22: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure Dependence on Viscosity of Bitumen - 1950

0

50

100

150

200

250

300

350

400

0 100 200 300 400 500

Vis

cosi

ty, P

.106

Pressure, kg/sq.cm

Borneo (residual) bitumenMexico (residual) bitumen

Venezuela (residual) bitumenJava (semi-blown) bitumen

Viscosity of bitumens at 30◦C and at different pressures

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 12 / 50

Page 23: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure Dependence on Viscosity of Canada OilSand Bitumen

Viscosity - temperature -pressure data for compressed,gas free Athabasca bitumen,1986

Viscosity - temperature -pressure data for compressed,cold lake bitumen, 1987

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 13 / 50

Page 24: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure Dependence on Viscosity of Canada OilSand Bitumen

Viscosity - temperature -pressure data for compressed,gas free Athabasca bitumen,1986

Viscosity - temperature -pressure data for compressed,cold lake bitumen, 1987

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 13 / 50

Page 25: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure Dependence on Viscosity of Canada OilSand Bitumen

Viscosity - temperature -pressure data for compressed,gas free Athabasca bitumen,1986

Viscosity - temperature -pressure data for compressed,cold lake bitumen, 1987

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 13 / 50

Page 26: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure Dependence on Viscosity of Canada OilSand Bitumen

Viscosity - temperature -pressure data for compressed,gas free Athabasca bitumen,1986

Viscosity - temperature -pressure data for compressed,cold lake bitumen, 1987

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 13 / 50

Page 27: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure Dependence on Viscosity of Canada OilSand Bitumen

Viscosity - temperature -pressure data for compressed,gas free Athabasca bitumen,1986

Viscosity - temperature -pressure data for compressed,cold lake bitumen, 1987

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 13 / 50

Page 28: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure - Temperature - Viscosity of Bitumen

‘Newtonian’ Viscosity -temperature - pressure 60/70bitumen, 2006

‘Newtonian’ Viscosity -temperature - pressure150/200 bitumen, 2006

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 14 / 50

Page 29: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure - Temperature - Viscosity of Bitumen

‘Newtonian’ Viscosity -temperature - pressure 60/70bitumen, 2006

‘Newtonian’ Viscosity -temperature - pressure150/200 bitumen, 2006

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 14 / 50

Page 30: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure - Temperature - Viscosity of Bitumen

‘Newtonian’ Viscosity -temperature - pressure 60/70bitumen, 2006

‘Newtonian’ Viscosity -temperature - pressure150/200 bitumen, 2006

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 14 / 50

Page 31: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure - Temperature - Viscosity of Bitumen

‘Newtonian’ Viscosity -temperature - pressure 60/70bitumen, 2006

‘Newtonian’ Viscosity -temperature - pressure150/200 bitumen, 2006

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 14 / 50

Page 32: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Pressure - Temperature - Viscosity of Bitumen

‘Newtonian’ Viscosity -temperature - pressure 60/70bitumen, 2006

‘Newtonian’ Viscosity -temperature - pressure150/200 bitumen, 2006

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 14 / 50

Page 33: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Significance of Pressure on Viscosity of Bitumen

Compaction MechanicsWhat is the mechanical behavior of a thin film of asphalt holdingthe aggregate particles during aircraft landing?Current state of art: Time - Temperature - Pressure Superposition(?)

logη

ηref= − C1 (T − Tref − θ(P))

C2(P) + (T − Tref − θ(P))(1)

θ(P) = C3(P) ln(

1 + C4P1 + C4Pref

)− C5(P) ln

(1 + C6P

1 + C6Pref

)(2)

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 15 / 50

Page 34: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Significance of Pressure on Viscosity of Bitumen

Compaction MechanicsWhat is the mechanical behavior of a thin film of asphalt holdingthe aggregate particles during aircraft landing?Current state of art: Time - Temperature - Pressure Superposition(?)

logη

ηref= − C1 (T − Tref − θ(P))

C2(P) + (T − Tref − θ(P))(1)

θ(P) = C3(P) ln(

1 + C4P1 + C4Pref

)− C5(P) ln

(1 + C6P

1 + C6Pref

)(2)

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 15 / 50

Page 35: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Significance of Pressure on Viscosity of Bitumen

Compaction MechanicsWhat is the mechanical behavior of a thin film of asphalt holdingthe aggregate particles during aircraft landing?Current state of art: Time - Temperature - Pressure Superposition(?)

logη

ηref= − C1 (T − Tref − θ(P))

C2(P) + (T − Tref − θ(P))(1)

θ(P) = C3(P) ln(

1 + C4P1 + C4Pref

)− C5(P) ln

(1 + C6P

1 + C6Pref

)(2)

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 15 / 50

Page 36: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Investigations on Asphalt

Significance of Pressure on Viscosity of Bitumen

Compaction MechanicsWhat is the mechanical behavior of a thin film of asphalt holdingthe aggregate particles during aircraft landing?Current state of art: Time - Temperature - Pressure Superposition(?)

logη

ηref= − C1 (T − Tref − θ(P))

C2(P) + (T − Tref − θ(P))(1)

θ(P) = C3(P) ln(

1 + C4P1 + C4Pref

)− C5(P) ln

(1 + C6P

1 + C6Pref

)(2)

Alfonso et al. (2006), Fuel, Manuscript in Press

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 15 / 50

Page 37: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 16 / 50

Page 38: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Burgers’ Model - Lethersich’s Experiments

Bitumen is assumed to possess a colloidal structure consisting ofasphaltenes (disperse phase, solid-like) and petrolenes(dispersion medium, viscous fluid) - ‘elastic elements buried in aviscous fluid’

Lethersich (1942), Journal of the Society of Chemical Industry, 61, 101-108.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 17 / 50

Page 39: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Burgers’ Model - Lethersich’s Experiments

Bitumen is assumed to possess a colloidal structure consisting ofasphaltenes (disperse phase, solid-like) and petrolenes(dispersion medium, viscous fluid) - ‘elastic elements buried in aviscous fluid’

Lethersich (1942), Journal of the Society of Chemical Industry, 61, 101-108.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 17 / 50

Page 40: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Burgers’ Model - Lethersich’s Experiments

Bitumen is assumed to possess a colloidal structure consisting ofasphaltenes (disperse phase, solid-like) and petrolenes(dispersion medium, viscous fluid) - ‘elastic elements buried in aviscous fluid’

Lethersich (1942), Journal of the Society of Chemical Industry, 61, 101-108.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 17 / 50

Page 41: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Burgers’ Model - Lethersich’s Experiments

Bitumen is assumed to possess a colloidal structure consisting ofasphaltenes (disperse phase, solid-like) and petrolenes(dispersion medium, viscous fluid) - ‘elastic elements buried in aviscous fluid’

Lethersich (1942), Journal of the Society of Chemical Industry, 61, 101-108.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 17 / 50

Page 42: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Frohlich and Sack, 1946

S + λS = µ1D1 + µ2D2, (3)

D1 =12

(∂v∂x

+

(∂v∂x

)T), (4)

D2 =12

(∂a∂x

+

(∂a∂x

)T), (5)

Frohlich and Sack (1946), Proceedings of the Royal Society of London, Series A,Mathematical and Physical Sciences, 185, 415-430.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 18 / 50

Page 43: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Frohlich and Sack, 1946

Interestingly, Oldroyd (1950) developed models for emulsions which was inspiredby the work of Frohlick and Sack.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 19 / 50

Page 44: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Current Attempts in Modeling Asphalt

Linear viscoelasticity - Time temperature superposition - Mastercurves - Complex Modulus (SHRP, USA)

Lesueur et al.(1996) - failure of time temperature superposition - Abimodal model assuming asphalt as a dispersion of asphalteneparticles peptized by resins

Cheung and Cebon (1997) - ‘Eyring plasticity model’ attemperatures below glass transition with a temperaturedependence of the Arrhenius type at temperatures above glasstransition - Assumed that asphalt obeyed time-temperaturesuperposition at high temperatures.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 20 / 50

Page 45: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Current Attempts in Modeling Asphalt

Linear viscoelasticity - Time temperature superposition - Mastercurves - Complex Modulus (SHRP, USA)

Lesueur et al.(1996) - failure of time temperature superposition - Abimodal model assuming asphalt as a dispersion of asphalteneparticles peptized by resins

Cheung and Cebon (1997) - ‘Eyring plasticity model’ attemperatures below glass transition with a temperaturedependence of the Arrhenius type at temperatures above glasstransition - Assumed that asphalt obeyed time-temperaturesuperposition at high temperatures.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 20 / 50

Page 46: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Early Constitutive Models

Current Attempts in Modeling Asphalt

Linear viscoelasticity - Time temperature superposition - Mastercurves - Complex Modulus (SHRP, USA)

Lesueur et al.(1996) - failure of time temperature superposition - Abimodal model assuming asphalt as a dispersion of asphalteneparticles peptized by resins

Cheung and Cebon (1997) - ‘Eyring plasticity model’ attemperatures below glass transition with a temperaturedependence of the Arrhenius type at temperatures above glasstransition - Assumed that asphalt obeyed time-temperaturesuperposition at high temperatures.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 20 / 50

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Issues in Modeling Asphalt

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 21 / 50

Page 48: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Multi-constituent nature of asphaltasphalt is a mixture of different reacting and diffusing components,

asphalt from different sources of crude have different amounts ofconstituents and possibly different ability for reactions and

each and every manifestation of change in the behavior of asphalt(such as aging etc.,) is due to the inter-conversion of one type ofconstituent to the other type.

Asphalt Transitions

Internal Structural Change of Asphalt with Time

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 22 / 50

Page 49: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Multi-constituent nature of asphaltasphalt is a mixture of different reacting and diffusing components,

asphalt from different sources of crude have different amounts ofconstituents and possibly different ability for reactions and

each and every manifestation of change in the behavior of asphalt(such as aging etc.,) is due to the inter-conversion of one type ofconstituent to the other type.

Asphalt Transitions

Internal Structural Change of Asphalt with Time

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 22 / 50

Page 50: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Multi-constituent nature of asphaltasphalt is a mixture of different reacting and diffusing components,

asphalt from different sources of crude have different amounts ofconstituents and possibly different ability for reactions and

each and every manifestation of change in the behavior of asphalt(such as aging etc.,) is due to the inter-conversion of one type ofconstituent to the other type.

Asphalt Transitions

Internal Structural Change of Asphalt with Time

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 22 / 50

Page 51: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Multi-constituent nature of asphaltasphalt is a mixture of different reacting and diffusing components,

asphalt from different sources of crude have different amounts ofconstituents and possibly different ability for reactions and

each and every manifestation of change in the behavior of asphalt(such as aging etc.,) is due to the inter-conversion of one type ofconstituent to the other type.

Asphalt Transitions

Internal Structural Change of Asphalt with Time

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 22 / 50

Page 52: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Multi-constituent nature of asphaltasphalt is a mixture of different reacting and diffusing components,

asphalt from different sources of crude have different amounts ofconstituents and possibly different ability for reactions and

each and every manifestation of change in the behavior of asphalt(such as aging etc.,) is due to the inter-conversion of one type ofconstituent to the other type.

Asphalt Transitions

Internal Structural Change of Asphalt with Time

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 22 / 50

Page 53: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Multi-constituent nature of asphaltasphalt is a mixture of different reacting and diffusing components,

asphalt from different sources of crude have different amounts ofconstituents and possibly different ability for reactions and

each and every manifestation of change in the behavior of asphalt(such as aging etc.,) is due to the inter-conversion of one type ofconstituent to the other type.

Asphalt Transitions

Internal Structural Change of Asphalt with Time

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 22 / 50

Page 54: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Starting from a low temperature of approximately -40◦C andheating asphalt at a uniform temperature rate to a temperature of+100◦C, the following transitions are observed:glassy solid ⇒ viscoelastic solid ⇒ viscoelastic fluid ⇒ Newtonianfluid

Schweyer (1973)high temperature (> 60 ◦C) - Newtonian fluid,near-transition region (between 0 and 60 ◦C) - viscoelastic andfar-transition range (between glass transition temperature and0◦C) - elastic

Storm et al.,(1996)in the temperature range of 65 - 150 ◦C, asphalts behaved asNewtonian fluids and in the temperature range between 25 - 65◦C, the behavior was essentially viscoelastic

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 23 / 50

Page 55: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Starting from a low temperature of approximately -40◦C andheating asphalt at a uniform temperature rate to a temperature of+100◦C, the following transitions are observed:glassy solid ⇒ viscoelastic solid ⇒ viscoelastic fluid ⇒ Newtonianfluid

Schweyer (1973)high temperature (> 60 ◦C) - Newtonian fluid,near-transition region (between 0 and 60 ◦C) - viscoelastic andfar-transition range (between glass transition temperature and0◦C) - elastic

Storm et al.,(1996)in the temperature range of 65 - 150 ◦C, asphalts behaved asNewtonian fluids and in the temperature range between 25 - 65◦C, the behavior was essentially viscoelastic

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 23 / 50

Page 56: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Starting from a low temperature of approximately -40◦C andheating asphalt at a uniform temperature rate to a temperature of+100◦C, the following transitions are observed:glassy solid ⇒ viscoelastic solid ⇒ viscoelastic fluid ⇒ Newtonianfluid

Schweyer (1973)high temperature (> 60 ◦C) - Newtonian fluid,near-transition region (between 0 and 60 ◦C) - viscoelastic andfar-transition range (between glass transition temperature and0◦C) - elastic

Storm et al.,(1996)in the temperature range of 65 - 150 ◦C, asphalts behaved asNewtonian fluids and in the temperature range between 25 - 65◦C, the behavior was essentially viscoelastic

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 23 / 50

Page 57: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

What causes these transitions?Solvation of the asphaltene shells becomes larger duringtemperature transition imparting a new microstructure to asphaltcrystallization

One can view asphalt as a mixture of amorphous and crystallinephases and that the influence of temperature is in the melting ofcrystalline phases as the temperature is increased or in theformation of crystalline phases as the temperature is decreased.

Claudy et al.,(1991):at temperatures below 0 ◦C - glass transitionat temperatures between 0 and 90 ◦C - gradual dissolution ofcrystallized fractions andat temperatures roughly above 100 ◦C - asphalt behaving as a‘homogeneous solution’

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 24 / 50

Page 58: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

What causes these transitions?Solvation of the asphaltene shells becomes larger duringtemperature transition imparting a new microstructure to asphaltcrystallization

One can view asphalt as a mixture of amorphous and crystallinephases and that the influence of temperature is in the melting ofcrystalline phases as the temperature is increased or in theformation of crystalline phases as the temperature is decreased.

Claudy et al.,(1991):at temperatures below 0 ◦C - glass transitionat temperatures between 0 and 90 ◦C - gradual dissolution ofcrystallized fractions andat temperatures roughly above 100 ◦C - asphalt behaving as a‘homogeneous solution’

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 24 / 50

Page 59: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

What causes these transitions?Solvation of the asphaltene shells becomes larger duringtemperature transition imparting a new microstructure to asphaltcrystallization

One can view asphalt as a mixture of amorphous and crystallinephases and that the influence of temperature is in the melting ofcrystalline phases as the temperature is increased or in theformation of crystalline phases as the temperature is decreased.

Claudy et al.,(1991):at temperatures below 0 ◦C - glass transitionat temperatures between 0 and 90 ◦C - gradual dissolution ofcrystallized fractions andat temperatures roughly above 100 ◦C - asphalt behaving as a‘homogeneous solution’

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 24 / 50

Page 60: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

What causes these transitions?Solvation of the asphaltene shells becomes larger duringtemperature transition imparting a new microstructure to asphaltcrystallization

One can view asphalt as a mixture of amorphous and crystallinephases and that the influence of temperature is in the melting ofcrystalline phases as the temperature is increased or in theformation of crystalline phases as the temperature is decreased.

Claudy et al.,(1991):at temperatures below 0 ◦C - glass transitionat temperatures between 0 and 90 ◦C - gradual dissolution ofcrystallized fractions andat temperatures roughly above 100 ◦C - asphalt behaving as a‘homogeneous solution’

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 24 / 50

Page 61: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

What causes these transitions?Solvation of the asphaltene shells becomes larger duringtemperature transition imparting a new microstructure to asphaltcrystallization

One can view asphalt as a mixture of amorphous and crystallinephases and that the influence of temperature is in the melting ofcrystalline phases as the temperature is increased or in theformation of crystalline phases as the temperature is decreased.

Claudy et al.,(1991):at temperatures below 0 ◦C - glass transitionat temperatures between 0 and 90 ◦C - gradual dissolution ofcrystallized fractions andat temperatures roughly above 100 ◦C - asphalt behaving as a‘homogeneous solution’

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 24 / 50

Page 62: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions - Noel and Corbett (1970)

One of the significant investigation on the crystalline phases inasphalts

Used Differential Scanning Calorimetry (DSC) and tested 6different types of asphalts.

Conclued that the crystallizable components present in asphaltare largely found in the saturate fractions of the asphalt with somelesser amount in the naphthene-aromatics fraction.

Melting of the crystalline fractions of the waxy asphalts took placeover a broad range of temperature of 0 - 85◦C

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 25 / 50

Page 63: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions - Noel and Corbett (1970)

One of the significant investigation on the crystalline phases inasphalts

Used Differential Scanning Calorimetry (DSC) and tested 6different types of asphalts.

Conclued that the crystallizable components present in asphaltare largely found in the saturate fractions of the asphalt with somelesser amount in the naphthene-aromatics fraction.

Melting of the crystalline fractions of the waxy asphalts took placeover a broad range of temperature of 0 - 85◦C

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 25 / 50

Page 64: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions - Noel and Corbett (1970)

One of the significant investigation on the crystalline phases inasphalts

Used Differential Scanning Calorimetry (DSC) and tested 6different types of asphalts.

Conclued that the crystallizable components present in asphaltare largely found in the saturate fractions of the asphalt with somelesser amount in the naphthene-aromatics fraction.

Melting of the crystalline fractions of the waxy asphalts took placeover a broad range of temperature of 0 - 85◦C

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 25 / 50

Page 65: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions - Noel and Corbett (1970)

One of the significant investigation on the crystalline phases inasphalts

Used Differential Scanning Calorimetry (DSC) and tested 6different types of asphalts.

Conclued that the crystallizable components present in asphaltare largely found in the saturate fractions of the asphalt with somelesser amount in the naphthene-aromatics fraction.

Melting of the crystalline fractions of the waxy asphalts took placeover a broad range of temperature of 0 - 85◦C

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 25 / 50

Page 66: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions - Noel and Corbett (1970)

Recorded for the first time cold crystallization (suppressedcrystallization by quench cooling, results in metastableamorphous state below glass transition)

Noel and Corbett (1970), Journal of the Institution of Petroleum Technologists, 56,261-268

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 26 / 50

Page 67: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Mass fractions of the crystallized fractions can vary dependingupon the asphalt type and the temperature

Claudy (1992) - percentage of crystallized fractions varied fromzero to 33.9 percent for different types of asphalts

Netzel (1998) - existence of an interphase between amorphousand crystalline phases using 13C nuclear magnetic resonance

What is the nature of the crystallized fractions in asphalt? -Essentially wax

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 27 / 50

Page 68: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Mass fractions of the crystallized fractions can vary dependingupon the asphalt type and the temperature

Claudy (1992) - percentage of crystallized fractions varied fromzero to 33.9 percent for different types of asphalts

Netzel (1998) - existence of an interphase between amorphousand crystalline phases using 13C nuclear magnetic resonance

What is the nature of the crystallized fractions in asphalt? -Essentially wax

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 27 / 50

Page 69: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Mass fractions of the crystallized fractions can vary dependingupon the asphalt type and the temperature

Claudy (1992) - percentage of crystallized fractions varied fromzero to 33.9 percent for different types of asphalts

Netzel (1998) - existence of an interphase between amorphousand crystalline phases using 13C nuclear magnetic resonance

What is the nature of the crystallized fractions in asphalt? -Essentially wax

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 27 / 50

Page 70: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Mass fractions of the crystallized fractions can vary dependingupon the asphalt type and the temperature

Claudy (1992) - percentage of crystallized fractions varied fromzero to 33.9 percent for different types of asphalts

Netzel (1998) - existence of an interphase between amorphousand crystalline phases using 13C nuclear magnetic resonance

What is the nature of the crystallized fractions in asphalt? -Essentially wax

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 27 / 50

Page 71: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Wax in bitumen1 Paraffin wax: Group of n-alkanes, crystallize in large flat plates or

needles, also known as macro-crystalline wax2 Micro-crystalline wax: Aliphatic hydrocarbons with considerable iso

and cyclic paraffins, crystallize in tiny microscopic needles.3 Certain aromatics and polar functional groups can also crystallize

DSC techniques can be used to characterize the crystallizationstarting temperature (during cooling) and wax melting temperature(during heating).

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 28 / 50

Page 72: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Wax in bitumen1 Paraffin wax: Group of n-alkanes, crystallize in large flat plates or

needles, also known as macro-crystalline wax2 Micro-crystalline wax: Aliphatic hydrocarbons with considerable iso

and cyclic paraffins, crystallize in tiny microscopic needles.3 Certain aromatics and polar functional groups can also crystallize

DSC techniques can be used to characterize the crystallizationstarting temperature (during cooling) and wax melting temperature(during heating).

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 28 / 50

Page 73: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Wax in bitumen1 Paraffin wax: Group of n-alkanes, crystallize in large flat plates or

needles, also known as macro-crystalline wax2 Micro-crystalline wax: Aliphatic hydrocarbons with considerable iso

and cyclic paraffins, crystallize in tiny microscopic needles.3 Certain aromatics and polar functional groups can also crystallize

DSC techniques can be used to characterize the crystallizationstarting temperature (during cooling) and wax melting temperature(during heating).

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 28 / 50

Page 74: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Wax in bitumen1 Paraffin wax: Group of n-alkanes, crystallize in large flat plates or

needles, also known as macro-crystalline wax2 Micro-crystalline wax: Aliphatic hydrocarbons with considerable iso

and cyclic paraffins, crystallize in tiny microscopic needles.3 Certain aromatics and polar functional groups can also crystallize

DSC techniques can be used to characterize the crystallizationstarting temperature (during cooling) and wax melting temperature(during heating).

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 28 / 50

Page 75: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Wax in bitumen1 Paraffin wax: Group of n-alkanes, crystallize in large flat plates or

needles, also known as macro-crystalline wax2 Micro-crystalline wax: Aliphatic hydrocarbons with considerable iso

and cyclic paraffins, crystallize in tiny microscopic needles.3 Certain aromatics and polar functional groups can also crystallize

DSC techniques can be used to characterize the crystallizationstarting temperature (during cooling) and wax melting temperature(during heating).

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 28 / 50

Page 76: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Typical wax morphologyEffect of time and temperatureon wax crystallization

Lu and Redelius (2006), ENERGY and FUELS 20 (2): 653-660

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 29 / 50

Page 77: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Typical wax morphologyEffect of time and temperatureon wax crystallization

Lu and Redelius (2006), ENERGY and FUELS 20 (2): 653-660

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 29 / 50

Page 78: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Typical wax morphologyEffect of time and temperatureon wax crystallization

Lu and Redelius (2006), ENERGY and FUELS 20 (2): 653-660

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 29 / 50

Page 79: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Typical wax morphologyEffect of time and temperatureon wax crystallization

Lu and Redelius (2006), ENERGY and FUELS 20 (2): 653-660

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 29 / 50

Page 80: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Asphalt Transitions

Typical wax morphologyEffect of time and temperatureon wax crystallization

Lu and Redelius (2006), ENERGY and FUELS 20 (2): 653-660

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 29 / 50

Page 81: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

The internal structure of asphalt can develop and evolve if it is leftundisturbed at a constant temperature.

Reversible - Similar to physical aging of polymers (“Thisphenomenon is the observed change in a property of the polymeras a function of storage time, at constant temperature, at zerostress, and under no influence from any other external conditions”- Hutchinson (1995), Progress in Polymer Science)

Irreversible - Aging

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 30 / 50

Page 82: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

The internal structure of asphalt can develop and evolve if it is leftundisturbed at a constant temperature.

Reversible - Similar to physical aging of polymers (“Thisphenomenon is the observed change in a property of the polymeras a function of storage time, at constant temperature, at zerostress, and under no influence from any other external conditions”- Hutchinson (1995), Progress in Polymer Science)

Irreversible - Aging

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 30 / 50

Page 83: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Reversible Change in Internal Structure - Two mechanisms

1 “Steric Hardening” - Takes place at room temperature, an extremelyslow process taking from days to weeks to reach equilibriumconditions

2 “Low Temperature Physical Hardening” - Takes place attemperatures near glass transition, is much more rapid andexperimental investigations have reported that it takes normally 1 -2 days at the temperature range of -15 to -35◦C

Clearly Arrhenius kind of relationship between rates andtemperatures do not apply for asphalt.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 31 / 50

Page 84: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Reversible Change in Internal Structure - Two mechanisms

1 “Steric Hardening” - Takes place at room temperature, an extremelyslow process taking from days to weeks to reach equilibriumconditions

2 “Low Temperature Physical Hardening” - Takes place attemperatures near glass transition, is much more rapid andexperimental investigations have reported that it takes normally 1 -2 days at the temperature range of -15 to -35◦C

Clearly Arrhenius kind of relationship between rates andtemperatures do not apply for asphalt.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 31 / 50

Page 85: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Reversible Change in Internal Structure - Two mechanisms

1 “Steric Hardening” - Takes place at room temperature, an extremelyslow process taking from days to weeks to reach equilibriumconditions

2 “Low Temperature Physical Hardening” - Takes place attemperatures near glass transition, is much more rapid andexperimental investigations have reported that it takes normally 1 -2 days at the temperature range of -15 to -35◦C

Clearly Arrhenius kind of relationship between rates andtemperatures do not apply for asphalt.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 31 / 50

Page 86: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Reversible Change in Internal Structure - Two mechanisms

1 “Steric Hardening” - Takes place at room temperature, an extremelyslow process taking from days to weeks to reach equilibriumconditions

2 “Low Temperature Physical Hardening” - Takes place attemperatures near glass transition, is much more rapid andexperimental investigations have reported that it takes normally 1 -2 days at the temperature range of -15 to -35◦C

Clearly Arrhenius kind of relationship between rates andtemperatures do not apply for asphalt.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 31 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with TimeIncrease in the viscosity of asphalt kept in the viscometer forsufficiently long time

Traxler and Schweyer (1936), Proceedings of the American Society for Testing andMaterials, 36, 544–551.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 32 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with TimeIncrease in the viscosity of asphalt kept in the viscometer forsufficiently long time

Traxler and Schweyer (1936), Proceedings of the American Society for Testing andMaterials, 36, 544–551.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 32 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with TimeIncrease in the viscosity of asphalt kept in the viscometer forsufficiently long time

Traxler and Schweyer (1936), Proceedings of the American Society for Testing andMaterials, 36, 544–551.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 32 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with TimeIncrease in the viscosity of asphalt kept in the viscometer forsufficiently long time

Traxler and Schweyer (1936), Proceedings of the American Society for Testing andMaterials, 36, 544–551.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 32 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Steric Hardening

Brown, Sparks and Smith (1957), Association of Asphalt Paving Technologists, 26,486-494.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 33 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Steric Hardening

Brown, Sparks and Smith (1957), Association of Asphalt Paving Technologists, 26,486-494.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 33 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Steric Hardening

Brown, Sparks and Smith (1957), Association of Asphalt Paving Technologists, 26,486-494.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 33 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Steric Hardening

Brown, Sparks and Smith (1957), Association of Asphalt Paving Technologists, 26,486-494.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 33 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Low Temperature Physical Hardening1 Collapse of the ‘free volume’ as asphalt passes through glass

transition (Bahia and Anderson, 1992)2 Molecular agglomerations of the crystalline phases at low

temperature (Claudy et al., 1992)3 ‘Spinodal decomposition’ a phenomenon in which a ‘homogeneous’

liquid separates into two liquid phases as the material is cooled(Claudy et al., 1998)

4 Four stage internal structural development process for asphalt(Masson:2002)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 34 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Low Temperature Physical Hardening1 Collapse of the ‘free volume’ as asphalt passes through glass

transition (Bahia and Anderson, 1992)2 Molecular agglomerations of the crystalline phases at low

temperature (Claudy et al., 1992)3 ‘Spinodal decomposition’ a phenomenon in which a ‘homogeneous’

liquid separates into two liquid phases as the material is cooled(Claudy et al., 1998)

4 Four stage internal structural development process for asphalt(Masson:2002)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 34 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Low Temperature Physical Hardening1 Collapse of the ‘free volume’ as asphalt passes through glass

transition (Bahia and Anderson, 1992)2 Molecular agglomerations of the crystalline phases at low

temperature (Claudy et al., 1992)3 ‘Spinodal decomposition’ a phenomenon in which a ‘homogeneous’

liquid separates into two liquid phases as the material is cooled(Claudy et al., 1998)

4 Four stage internal structural development process for asphalt(Masson:2002)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 34 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Low Temperature Physical Hardening1 Collapse of the ‘free volume’ as asphalt passes through glass

transition (Bahia and Anderson, 1992)2 Molecular agglomerations of the crystalline phases at low

temperature (Claudy et al., 1992)3 ‘Spinodal decomposition’ a phenomenon in which a ‘homogeneous’

liquid separates into two liquid phases as the material is cooled(Claudy et al., 1998)

4 Four stage internal structural development process for asphalt(Masson:2002)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 34 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Low Temperature Physical Hardening1 Collapse of the ‘free volume’ as asphalt passes through glass

transition (Bahia and Anderson, 1992)2 Molecular agglomerations of the crystalline phases at low

temperature (Claudy et al., 1992)3 ‘Spinodal decomposition’ a phenomenon in which a ‘homogeneous’

liquid separates into two liquid phases as the material is cooled(Claudy et al., 1998)

4 Four stage internal structural development process for asphalt(Masson:2002)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 34 / 50

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Issues in Modeling Asphalt

Internal Structural Change of Asphalt with Time

Johansson and Isacsson (1998), Construction and Building Materials, 12, 463-470.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 35 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

The mechanical behavior of asphalt in the temperature regime ofinterest is quite complicated and not well understood,

A comprehensive theory for modeling asphalt even with the limitedinformation that is available is lacking and

Each and every facet of the modeling of the mechanical behaviorof asphalt requires fusing ideas from physics and chemistry.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 36 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

The mechanical behavior of asphalt in the temperature regime ofinterest is quite complicated and not well understood,

A comprehensive theory for modeling asphalt even with the limitedinformation that is available is lacking and

Each and every facet of the modeling of the mechanical behaviorof asphalt requires fusing ideas from physics and chemistry.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 36 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

The mechanical behavior of asphalt in the temperature regime ofinterest is quite complicated and not well understood,

A comprehensive theory for modeling asphalt even with the limitedinformation that is available is lacking and

Each and every facet of the modeling of the mechanical behaviorof asphalt requires fusing ideas from physics and chemistry.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 36 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

Asphalt is a mixture of different chemical species and the differentmanifestations of the mechanical behavior of asphalt depends onthe relative proportions of each of these species.

The proportion of these different constituents as well as thepotential for chemical interconversion depends to a large extent onthe source of asphalt (crude source), the processing method etc.

A complete and rigorous constitutive model should be able to takeinto account the multi-constituent nature of asphalt, the ability tointerconvert as well as the influence of the crude source on themechanical behavior of asphalt.

Due to the paucity of experimental information, we ignoreinfluence of the different chemical species that constitute asphaltas far as its mechanical behavior is concerned.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 37 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

Asphalt is a mixture of different chemical species and the differentmanifestations of the mechanical behavior of asphalt depends onthe relative proportions of each of these species.

The proportion of these different constituents as well as thepotential for chemical interconversion depends to a large extent onthe source of asphalt (crude source), the processing method etc.

A complete and rigorous constitutive model should be able to takeinto account the multi-constituent nature of asphalt, the ability tointerconvert as well as the influence of the crude source on themechanical behavior of asphalt.

Due to the paucity of experimental information, we ignoreinfluence of the different chemical species that constitute asphaltas far as its mechanical behavior is concerned.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 37 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

Asphalt is a mixture of different chemical species and the differentmanifestations of the mechanical behavior of asphalt depends onthe relative proportions of each of these species.

The proportion of these different constituents as well as thepotential for chemical interconversion depends to a large extent onthe source of asphalt (crude source), the processing method etc.

A complete and rigorous constitutive model should be able to takeinto account the multi-constituent nature of asphalt, the ability tointerconvert as well as the influence of the crude source on themechanical behavior of asphalt.

Due to the paucity of experimental information, we ignoreinfluence of the different chemical species that constitute asphaltas far as its mechanical behavior is concerned.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 37 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

Asphalt is a mixture of different chemical species and the differentmanifestations of the mechanical behavior of asphalt depends onthe relative proportions of each of these species.

The proportion of these different constituents as well as thepotential for chemical interconversion depends to a large extent onthe source of asphalt (crude source), the processing method etc.

A complete and rigorous constitutive model should be able to takeinto account the multi-constituent nature of asphalt, the ability tointerconvert as well as the influence of the crude source on themechanical behavior of asphalt.

Due to the paucity of experimental information, we ignoreinfluence of the different chemical species that constitute asphaltas far as its mechanical behavior is concerned.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 37 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

We can consider asphalt as a mixture of two complex amorphousphases at roughly 100◦C.

As the temperature is reduced, one phase of this mixture startscrystallizing while the other remains in the amorphous phase.

The mechanical behavior of asphalt then is influenced by thevolume/mass fractions of these different phases and the tendencyfor the crystalline phase to either dissolve or solidify dependingupon whether the pavement temperature increases or decreases.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 38 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

We can consider asphalt as a mixture of two complex amorphousphases at roughly 100◦C.

As the temperature is reduced, one phase of this mixture startscrystallizing while the other remains in the amorphous phase.

The mechanical behavior of asphalt then is influenced by thevolume/mass fractions of these different phases and the tendencyfor the crystalline phase to either dissolve or solidify dependingupon whether the pavement temperature increases or decreases.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 38 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

We can consider asphalt as a mixture of two complex amorphousphases at roughly 100◦C.

As the temperature is reduced, one phase of this mixture startscrystallizing while the other remains in the amorphous phase.

The mechanical behavior of asphalt then is influenced by thevolume/mass fractions of these different phases and the tendencyfor the crystalline phase to either dissolve or solidify dependingupon whether the pavement temperature increases or decreases.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 38 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

We can make reasonable assumptions on the conditions for theinitiation of crystallization and the evolution for the growth of thecrystallized fractions if we know the crystallization kinetics.

In this investigation, we assume that the amorphous andcrystalline phases give rise to different relaxation mechanisms andhence we will model asphalt with multiple relaxation mechanisms.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 39 / 50

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Issues in Modeling Asphalt

Summary of the Issues in Modeling Asphalt

We can make reasonable assumptions on the conditions for theinitiation of crystallization and the evolution for the growth of thecrystallized fractions if we know the crystallization kinetics.

In this investigation, we assume that the amorphous andcrystalline phases give rise to different relaxation mechanisms andhence we will model asphalt with multiple relaxation mechanisms.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 39 / 50

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A Thermodynamic Framework for Modeling Asphalt

1 Early Investigations on Asphalt

2 Early Constitutive Models

3 Issues in Modeling Asphalt

4 A Thermodynamic Framework for Modeling Asphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 40 / 50

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A Thermodynamic Framework for Modeling Asphalt

Modeling of Asphalt

The key element of the framework that we use is that a body canexist stress free in numerous natural configurations.

We follow Rajagopal and Srinivasa (2000), Journal ofNon-Newtonian Fluid Mechanics, 88, 207–227 for our modeling ofasphalt.

x = χκR (X, t). (6)

FκR ≡∂χκR∂X

. (7)

BκR ≡ FκR FTκR, (8)

CκR ≡ FTκR

FκR . (9)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 41 / 50

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A Thermodynamic Framework for Modeling Asphalt

Modeling of Asphalt

The key element of the framework that we use is that a body canexist stress free in numerous natural configurations.

We follow Rajagopal and Srinivasa (2000), Journal ofNon-Newtonian Fluid Mechanics, 88, 207–227 for our modeling ofasphalt.

x = χκR (X, t). (6)

FκR ≡∂χκR∂X

. (7)

BκR ≡ FκR FTκR, (8)

CκR ≡ FTκR

FκR . (9)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 41 / 50

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A Thermodynamic Framework for Modeling Asphalt

Experimental studies on the compressibility of asphalt havepointed out that the change in the density is of the order of only1.5 percent under normal temperatures and pressures and hencein this study, we assume asphalt to be incompressible.

divv = 0. (10)

The balance of linear momentum is

ρ

[∂v∂t

+ (∇v)v]

= divT + ρg, (11)

Reduced Energy-Dissipation Equation

T · L− ρψ = ρθζ ≡ ξ ≥ 0 (12)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 42 / 50

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A Thermodynamic Framework for Modeling Asphalt

Experimental studies on the compressibility of asphalt havepointed out that the change in the density is of the order of only1.5 percent under normal temperatures and pressures and hencein this study, we assume asphalt to be incompressible.

divv = 0. (10)

The balance of linear momentum is

ρ

[∂v∂t

+ (∇v)v]

= divT + ρg, (11)

Reduced Energy-Dissipation Equation

T · L− ρψ = ρθζ ≡ ξ ≥ 0 (12)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 42 / 50

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A Thermodynamic Framework for Modeling Asphalt

Experimental studies on the compressibility of asphalt havepointed out that the change in the density is of the order of only1.5 percent under normal temperatures and pressures and hencein this study, we assume asphalt to be incompressible.

divv = 0. (10)

The balance of linear momentum is

ρ

[∂v∂t

+ (∇v)v]

= divT + ρg, (11)

Reduced Energy-Dissipation Equation

T · L− ρψ = ρθζ ≡ ξ ≥ 0 (12)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 42 / 50

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A Thermodynamic Framework for Modeling Asphalt

Constitutive Equation

Helmholtz Potential

ψ =12ρ

n∑i=1

µi (Ii − 3) , (13)

Rate of Dissipation

ξ =n∑

i=1

(ηiDκp i(t)

· Bκp i(t)Dκp i(t)

+ ηiD · D). (14)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 43 / 50

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A Thermodynamic Framework for Modeling Asphalt

Constitutive Equation

Helmholtz Potential

ψ =12ρ

n∑i=1

µi (Ii − 3) , (13)

Rate of Dissipation

ξ =n∑

i=1

(ηiDκp i(t)

· Bκp i(t)Dκp i(t)

+ ηiD · D). (14)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 43 / 50

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A Thermodynamic Framework for Modeling Asphalt

Constitutive Equation

T = −p1 +n∑

i=1

(µiBκp i(t)

+ ηiD)

(15)

125Bκp i(t)

=µi

ηi

3

tr(

B−1κp i(t)

)1− Bκp i(t)

, i = 1, . . . n. (16)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 44 / 50

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A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

Constant Extension Rate Test : Cheung and Cebon (1997)

Λ(t) = 1 + Kt , (17)

where K is a constant. The velocity gradient for this motion isgiven by,

L = diag[−12

K1 + Kt

,−12

K1 + Kt

,K

1 + Kt

]. (18)

Bκp (t)= 1, for t = 0. (19)

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 45 / 50

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A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

For the case with single relaxationtime, the constitutive equation isgiven by

T = −p1 + µBκp (t)+ ηD, (20)

and the evolution equation for thenatural configuration is given by

125Bκp (t)

η

3

tr(

B−1κp (t)

)1− Bκp (t)

.(21)

0.00 X 100

2.00 X 105

4.00 X 105

6.00 X 105

8.00 X 105

1.00 X 106

1.20 X 106

1.40 X 106

1.60 X 106

1.80 X 106

2.00 X 106

0 0.1 0.2 0.3 0.4 0.5 0.6

Nom

inal

Str

ess

(Pa)

Nominal Strain

Constant extension rate test for Bitumen at 10oC

0.01/s

0.02/s

0.05/s

0.1/s

0.2/s

Experiment

Model

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 46 / 50

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A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

For the case with single relaxationtime, the constitutive equation isgiven by

T = −p1 + µBκp (t)+ ηD, (20)

and the evolution equation for thenatural configuration is given by

125Bκp (t)

η

3

tr(

B−1κp (t)

)1− Bκp (t)

.(21)

0.00 X 100

2.00 X 105

4.00 X 105

6.00 X 105

8.00 X 105

1.00 X 106

1.20 X 106

1.40 X 106

1.60 X 106

1.80 X 106

2.00 X 106

0 0.1 0.2 0.3 0.4 0.5 0.6

Nom

inal

Str

ess

(Pa)

Nominal Strain

Constant extension rate test for Bitumen at 10oC

0.01/s

0.02/s

0.05/s

0.1/s

0.2/s

Experiment

Model

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 46 / 50

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A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

For the case with single relaxationtime, the constitutive equation isgiven by

T = −p1 + µBκp (t)+ ηD, (20)

and the evolution equation for thenatural configuration is given by

125Bκp (t)

η

3

tr(

B−1κp (t)

)1− Bκp (t)

.(21)

0.00 X 100

2.00 X 105

4.00 X 105

6.00 X 105

8.00 X 105

1.00 X 106

1.20 X 106

1.40 X 106

1.60 X 106

1.80 X 106

2.00 X 106

0 0.1 0.2 0.3 0.4 0.5 0.6

Nom

inal

Str

ess

(Pa)

Nominal Strain

Constant extension rate test for Bitumen at 10oC

0.01/s

0.02/s

0.05/s

0.1/s

0.2/s

Experiment

Model

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 46 / 50

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A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

Tensile creep experiments of Lethersich (1942)

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 30o CModel

19.8 g/cm2 - Experiment35 g/cm2 - Experiment

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 35o CModel

12.8 g/cm2 - Experiment25 g/cm2 - Experiment

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 47 / 50

Page 127: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

Tensile creep experiments of Lethersich (1942)

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 30o CModel

19.8 g/cm2 - Experiment35 g/cm2 - Experiment

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 35o CModel

12.8 g/cm2 - Experiment25 g/cm2 - Experiment

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 47 / 50

Page 128: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

Tensile creep experiments of Lethersich (1942)

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 30o CModel

19.8 g/cm2 - Experiment35 g/cm2 - Experiment

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 35o CModel

12.8 g/cm2 - Experiment25 g/cm2 - Experiment

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 47 / 50

Page 129: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

A Thermodynamic Framework for Modeling Asphalt

Some Experimental Corroboration

Tensile creep experiments of Lethersich (1942)

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 30o CModel

19.8 g/cm2 - Experiment35 g/cm2 - Experiment

0

5

10

15

20

25

0 10 20 30 40 50 60 70

Ext

ensi

on in

%

Time in days

Extension/time curves for Bitumen

Temperature 35o CModel

12.8 g/cm2 - Experiment25 g/cm2 - Experiment

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 47 / 50

Page 130: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

A Thermodynamic Framework for Modeling Asphalt

Summary

We discussed the complex mechanical behavior of asphalt

A thermodynamic framework was used for modeling asphalt

In the next talk, we will discuss some open issues in modelingasphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 48 / 50

Page 131: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

A Thermodynamic Framework for Modeling Asphalt

Summary

We discussed the complex mechanical behavior of asphalt

A thermodynamic framework was used for modeling asphalt

In the next talk, we will discuss some open issues in modelingasphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 48 / 50

Page 132: The Mechanical Behavior of Asphalt - Univerzita Karlovaprusv/ncmm/workshops/wog/... · The Mechanical Behavior of Asphalt J. Murali Krishnan Department of Civil Engineering IIT Madras

A Thermodynamic Framework for Modeling Asphalt

Summary

We discussed the complex mechanical behavior of asphalt

A thermodynamic framework was used for modeling asphalt

In the next talk, we will discuss some open issues in modelingasphalt

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 48 / 50

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A Thermodynamic Framework for Modeling Asphalt

Reference

J. Murali Krishnan, and K. R. Rajagopal, “On the MechanicalBehavior of Asphalt”, Mechanics of Materials, 37(11), 1085-1100,2005.

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 49 / 50

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A Thermodynamic Framework for Modeling Asphalt

Acknowledgments

Professor K. R. Rajagopal

Texas A&M University

J. Murali Krishnan (IIT Madras) Asphalt - Mechanical Behavior Sept. 25, 2006 50 / 50