time(sec) displacement(mm) displacement*(-1) instantaneous strain instantaneous strain*(-1)

0 0 0 0 0

20 -0.003 0.003 -0.0001 0.0001

40 -0.738 0.738 -0.02461 0.02461

60 -1.334 1.334 -0.04445 0.04445

80 -2.104 2.104 -0.07014 0.07014

100 -2.363 2.363 -0.07876 0.07876

120 -2.398 2.398 -0.07993 0.07993

140 -2.461 2.461 -0.08204 0.08204

160 -2.523 2.523 -0.08409 0.08409

180 -2.611 2.611 -0.08703 0.08703

200 -2.716 2.716 -0.09053 0.09053

220 -2.849 2.849 -0.09496 0.09496

240 -3.001 3.001 -0.10002 0.10002

260 -3.278 3.278 -0.10928 0.10928

280 -3.991 3.991 -0.13303 0.13303

-0.02

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0 100 200 300

Series1

stra

in

time(sec)

E (Mpa) instantaneous stress(Mpa) instantaneous stress*(-1)(Mpa) t

70000 0 0

70000 -7.24 7.24 0.0001 20

70000 -1722.83 1722.83 0.02451 20

70000 -3111.8 3111.8 0.01984 20

70000 -4910.08 4910.08 0.02569 20

70000 -5513.41 5513.41 0.00862 20

70000 -5595.42 5595.42 0.00117 20

70000 -5742.86 5742.86 0.00211 20

70000 -5886.48 5886.48 0.00205 20

70000 -6092.01 6092.01 0.00294 20

70000 -6337.26 6337.26 0.0035 20

70000 -6647.09 6647.09 0.00443 20

70000 -7001.71 7001.71 0.00506 20

70000 -7649.42 7649.42 0.00926 20

70000 -9311.88 9311.88 0.02375 20

-14

-12

-10

-8

-6

-4

-2

0

0 2 4 6 8 10

Series1

ln instantaneous stress (MPa)

ln s

trai

n r

ate

(1

/S)

instantaneous strain rate =/t ln() ln(stress) sinh()3.206*10^(-3) 0

0.000005 -12.206073 1.9796212 3.206*10^(-3) 0.023213524

0.0012255 -6.7044064 7.4517236 3.206*10^(-3) 125.2397451

0.000992 -6.9157875 8.0429566 3.206*10^(-3) 10756.69486

0.0012845 -6.6573857 8.4990455 3.206*10^(-3) 3431710.214

0.000431 -7.7494025 8.6149386 3.206*10^(-3) 23744115.27

5.85E-05 -9.7464838 8.6297037 3.206*10^(-3) 30884634.09

0.0001055 -9.1567996 8.6557126 3.206*10^(-3) 49548471.94

0.0001025 -9.1856478 8.6804135 3.206*10^(-3) 78523437.06

0.000147 -8.825078 8.7147334 3.206*10^(-3) 151763945.2

0.000175 -8.6507246 8.7542018 3.206*10^(-3) 333151659.9

0.0002215 -8.415088 8.8019344 3.206*10^(-3) 899566338.8

0.000253 -8.2821211 8.8539097 3.206*10^(-3) 2804062455

0.000463 -7.6777835 8.9423851 3.206*10^(-3) 22367913580

0.0011875 -6.735905 9.1390463 3.206*10^(-3) 4.61688E+12

-14

-12

-10

-8

-6

-4

-2

0

0 2000 4000 6000 8000 10000

Series1

instantaneous stress (MPa)

ln[sinh()] temp(degree) temp(k) activation energy(Q) J/mol K Z=*exp((Q/RT))

400 673 165.83*10^(3)

-3.76302022 400 673 165.83*10^(3) 37176412.64

4.830229861 400 673 165.83*10^(3) 9111938739

9.283283617 400 673 165.83*10^(3) 7375800268

15.0485693 400 673 165.83*10^(3) 9550620408

16.98284528 400 673 165.83*10^(3) 3204606770

17.24576934 400 673 165.83*10^(3) 434964027.9

17.71846198 400 673 165.83*10^(3) 784422306.8

18.1789077 400 673 165.83*10^(3) 762116459.2

18.83783688 401 674 165.83*10^(3) 1092986532

19.62410838 401 674 165.83*10^(3) 1301174442

20.61742336 402 675 165.83*10^(3) 1646915080

21.75433508 402 675 165.83*10^(3) 1881126480

23.83089334 402 675 165.83*10^(3) 3442535811

29.1607401 402 675 165.83*10^(3) 8829398003

A=Z/[sinh()]^n (1/S) analytical strain rate analytical analytical strain

1601497994 0.000005 0.0001 0.0001

72755966.83 0.0012255 0.02451 0.02461

685693.9204 0.000992 0.01984 0.04445

2783.049795 0.0012845 0.02569 0.07014

134.9642526 0.000431 0.00862 0.07876

14.08350919 5.85E-05 0.00117 0.07993

15.83141268 0.0001055 0.00211 0.08204

9.705592212 0.0001025 0.00205 0.08409

7.201885338 0.000147 0.00294 0.08703

3.905651987 0.000175 0.0035 0.09053

1.830787802 0.0002215 0.00443 0.09496

0.670857554 0.000253 0.00506 0.10002

0.153905093 0.000463 0.00926 0.10928

0.001912417 0.0011875 0.02375 0.13303

-0.02

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0 50 100 150 200 250 300

Series1

Series2

time (sec)

stra

in

analytical experimental