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Journal of the Brazilian Society ofMechanical Sciences and Engineering ISSN 1678-5878Volume 39Number 10 J Braz. Soc. Mech. Sci. Eng. (2017)39:4059-4068DOI 10.1007/s40430-017-0864-z
Formability of a wire arc depositedaluminium alloy
C. M. A. Silva, I. M. F. Bragança,A. Cabrita, L. Quintino &P. A. F. Martins
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TECHNICAL PAPER
Formability of a wire arc deposited aluminium alloy
C. M. A. Silva1 • I. M. F. Braganca2 • A. Cabrita1 • L. Quintino1 • P. A. F. Martins1
Received: 21 January 2017 / Accepted: 17 July 2017 / Published online: 26 July 2017
� The Brazilian Society of Mechanical Sciences and Engineering 2017
Abstract This paper is focused on the formability of the
aluminium alloy AA5083 deposited by wire arc additive
manufacturing (WAAM). The presentation draws from
metal deposition with a robotic welding system to
mechanical and formability characterization by means of
standard test specimens. Finite element analysis using
porous metal plasticity is utilized to model strain hard-
ening and the changes in porosity due to plastic defor-
mation. Results show that the deposited aluminium alloy
has excellent ductility and that its final stress response can
significantly improve as a result of strain hardening.
Voids resulting from metal deposition are closed by
negative values of stress-triaxiality resulting from com-
pression forming. The investigation is also a step towards
understanding the potential of including intermediate
forming operations in conventional wire arc additive
manufacturing (WAAM), consisting of metal deposition
and machining.
Keywords Formability � Aluminium alloy � Wire arc
deposited � Experimentation � Finite element method
1 Introduction
Recent years saw the development of innovative additive
manufacturing technologies to fabricate and repair metal
parts, faster and cheaper. Electron beam additive manu-
facturing [1], laser sintering additive manufacturing [2] and
arc-based additive manufacturing [3] are among the most
widespread additive manufacturing technologies that
combine the flexibility of metal deposition by welding with
the precision of CNC machining to fabricate prototypes
and production parts in low-batch sizes with less material
waste and shorter time-to-market than conventional man-
ufacturing technologies.
Arc-based additive manufacturing is the oldest of these
technologies and offers the advantage of using commonly
available equipment in metal working companies (e.g.
standard robotic MIG/MAG, TIG or plasma welding sys-
tems) instead of requiring the acquisition of a specific
additive manufacturing machine. Another benefit of arc-
based additive manufacturing is the high material deposi-
tion rate because it uses welding wire as feedstock instead
of using powder bed of fed-based systems as, for example,
laser sintering additive manufacturing.
The key topics in wire arc additive manufacturing
(WAAM) are the geometric sub structuring deposition
strategy and the selection and control of the arc-based
process parameters to ensure that metal is deposited, layer
by layer, accurately and free from defects until the part
Technical Editor: Marcio Bacci da Silva.
& P. A. F. Martins
C. M. A. Silva
I. M. F. Braganca
A. Cabrita
L. Quintino
1 IDMEC, Instituto Superior Tecnico, Universidade de Lisboa,
Av. Rovisco Pais, 1049-001 Lisbon, Portugal
2 ISEL, Instituto Superior de Engenharia de Lisboa, Instituto
Politecnico de Lisboa, Rua Conselheiro Emıdio Navarro,
1959-007 Lisbon, Portugal
123
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DOI 10.1007/s40430-017-0864-z
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reaches near-net shape and is ready for the final finishing
by machining. In case of aluminium alloys, which will be
used in this investigation, major defects are caused by
porosities [4], and some authors propose the utilization of a
roller behind the welding arc to plastically deform and
close the voids by application of a vertical compression
force [5]. Inter-layer rolling, as this procedure is desig-
nated, also promotes microstructure grain refinement and
prevents distortion by significantly reducing the residual
stresses arising from metal deposition [6, 7]. The
improvement of the mechanical properties by inter-layer
rolling is also very important when the fully finished part is
machined from the deposited metal without any heat
treatment.
But what if additive manufacturing is extended to
include forming operations? The possibility of this hap-
pening is strong and should be considered at two different
levels:
• The basic level (Fig. 1a) is the case of metal parts
having cross-sections along different planes. This is
because fabrication by additive manufacturing will be
faster and cheaper (due to less removing of unwanted
material by machining) if forming operations (such as
bending) are included to distribute the deposited
material along the different required planes;
• The complex level (Fig. 1b) is the case of deposited
metals being used as preforms with optimized geometry
to ensure defect-free metal flow and complete die fill
with minor material losses during small batch forming
runs. In fact, the extension of additive manufacturing to
include forming operations such as forging offers the
advantage of reducing manufacturing time and tooling
costs while eliminating metal porosity, exceeding
wrought mechanical properties through strain harden-
ing and reducing final finishing by machining.
The last vision is not very much different from what is
commonly done in powder forging, in which compacted
and sintered metal powder preforms with a geometry close
to the final part are forged to produce a fully finished part
with residual porosity and large savings in material and
tooling costs [8].
Under these circumstances, the aim of this work is to
investigate the formability limits of the deposited metal due
to its importance for quantifying the resistance to initiation
and propagation of cracks during a forming operation. The
presentation starts by determining the stress–strain curve
along directions parallel and perpendicular to the metal
deposition path and proceeds towards the characterization
of the formability limits by fracture and to the validation of
these limits by means of a simple compression forming
process. The work is supported by experimentation and
finite element modelling.
2 Experimentation
2.1 Welding parameters
A Kuka 6-axis robotic system using a Fronius CMT VR
7000 cold metal transfer welding machine was utilized for
metal deposition. The machine works in controlled dip
transfer mode with a lower heat input than that of con-
ventional machines operating in dip transfer mode, and is
capable of delivering beads with excellent quality without
spatter. Computer interfaces are utilized to control the
movement of the welding torch and the welding
parameters.
The wire electrode was aluminium AA5083 with 1 mm
diameter, and the shielding gas was 99.9% of Argon.
Table 1 lists the major welding parameters.
The deposited metal sample consisted of a paral-
lelepiped with 50 mm 9 66 mm 9 180 mm (Fig. 2a) built
through the deposition of multi-bead overlapping layers
with a bead width w = 6 mm and a distance d = 4 mm
between the centres of adjacent beads (Fig. 2b). The ratio
d/dw = 0.67 was selected in accordance to the flat-top
overlapping model [9] to ensure an optimal overlap of the
weld beads.
The welding torch was programmed with a ‘zigzag’
movement (Fig. 2c), and its working angle was set to 45�.The travel angle was set to 08 to avoid differences between
forehand welding in one direction and backhand welding in
the other direction of the ‘zig-zag’ movement.
2.2 Mechanical characterization of the deposited
material
2.2.1 Stress–strain curve
The stress–strain curve of the deposited aluminium alloy
AA5083 was performed by means of standard compression
tests. The cylinder test specimens with 15 mm diameter
and 15 mm height were machined out from the sample
shown in Fig. 2a along the width ‘W’, longitudinal ‘L’ and
thickness ‘T’ directions, with the material in the ‘as-de-
posited’ condition (Fig. 3).
The tests were performed at room temperature on a
hydraulic testing machine (Instron SATEC 1200kN) with a
crosshead speed equal to 10 mm/min. The compression
platens were cleaned with ethanol before each experiment.
The cylinder test specimens were lubricated with Teflon
sheets on the top and bottom ends before compression to
reduce friction. Two different test specimens were utilized
for each ‘W’, ‘L’ and ‘T’ directions.
Figure 4a shows the average stress–strain curves
obtained for each direction. As seen, there are no
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significant differences in the stress response of the material
along the three different directions (‘W’, ‘L’ and ‘T’). This
means that from a macroscopic point of view, the
mechanical behaviour of the deposited aluminium alloy
AA5083 may be considered isotropic.
The average stress–strain curve resulting from the entire
set of experimental data is approximated by the following
Ludwik–Hollomon’s equation,
r ¼ 475:5 e0:22 ð1Þ
Fig. 1 Extending additive
manufacture to include forming
operations. a Basic level in
which a bending operation (left)
is included to diminish the
removing of unwanted
deposited material (right);
b complex level in which
deposited material is utilized to
fabricate preforms with
optimized geometry for small
batch forming runs
Table 1 Major welding parameters
Current (A) Voltage (V) Wire feed rate (m/min) Welding speed (mm/min) Stick-out length (mm) Gas flow rate (l/min)
100 16.5 8.5 600 12–15 17
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2.2.2 Friction
Friction at the contact interface between the compression
platens and the formability test specimens that will be used
in the investigation was estimated by means of ring com-
pression tests. The ring test specimens with a ratio of the
outer diameter, the inner diameter and the thickness equal
to 6:3:2 were machined out from the deposited aluminium
alloy AA5083 sample shown in Fig. 2a. Two different
lubrication conditions were evaluated: (1) dry friction and
(2) lubrication with molybdenum disulphide MoS2.
Friction was characterized by means of the law of
constant friction sf = mk, where sf is the friction shear
stress, m is the friction factor and k is the shear yield stress.
Figure 4b allows estimating m for both lubrication condi-
tions (m = 0.3 for dry conditions and m = 0.15 for
molybdenum disulphide MoS2) by comparing experimental
measurements and calibration curves relating the changes
of minimum internal diameter as a function of the reduc-
tion in height that were previously obtained by finite ele-
ment modelling.
2.2.3 Density
The porosity of the deposited aluminium alloy AA5083
sample was evaluated by machining out cylinder test
specimens along the width ‘W’, longitudinal ‘L’, and
thickness ‘T’ directions, and measuring its densities in a
laboratory precision balance equipped with a density
determination kit.
The experimental technique utilized in the determina-
tion of density was based on the Archimedes’ principle (or
buoyancy) method, commonly utilized in powder forging,
which states that a body immersed in a fluid loses weight
by an amount equal to the weight of the fluid it displaces. A
sample of the electrode wire was utilized for determining
the density of the fully dense aluminium alloy AA5083 for
reference purposes. The results are provided in Table 2.
Distilled water at 22 �C was utilized in the determina-
tion of densities.
By defining the initial uniform relative density R0 as
follows,
Fig. 2 Deposited aluminium
alloy AA5083. a Photograph of
the sample; b schematic
diagram of the overlapping
between layers of the weld
beads; c schematic ‘zigzag’
movement of the welding torch
Fig. 3 Compression test
specimens. a Schematic
representation of the deposited
metal sample with the width W,
longitudinal L and thickness
T directions; b photograph of a
cylinder test specimen
machined out from the
deposited aluminium alloy
AA5083 sample
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R0 ¼ qsamples
�qwire ð2Þ
where qsamples is the average density of the test samples and
qwire is the density of the fully dense wire, one obtains
R0 = 0.997. This result allows concluding that the average
porosity of the deposited aluminium alloy AA5083 is
approximately equal to 0.3%.
The above procedure allows quantifying the percentage
of average porosity in volume in an easier and more
effective way than that based in two-dimensional images
taken from selected cross-sections of the test samples.
2.3 Formability of the deposited material
Conventional bulk formability tests performed with cylin-
drical and tapered specimens compressed between flat
parallel platens were utilized to determine the onset of
failure by fracture of the deposited aluminium alloy
AA5083 sample. The formability tests were performed on
the same hydraulic testing machine that had been previ-
ously utilized for the mechanical characterization of the
material. The experiments were carried out at room tem-
perature with a crosshead velocity of 10 mm/min.
The formability test specimens were machined out from
the deposited sample shown in Fig. 2a, according to the
geometries provided in Table 3. The lubrication conditions
utilized in the tests are also provided in Table 3.
Fig. 4 Mechanical and friction characterization of the deposited
aluminium alloy AA5083. a Stress–strain curves for test specimens
taken from the width W, longitudinal L and thickness T directions;
b experimental measurements and ring test calibration curves relating
the changes of the minimum internal diameter with the reduction in
height for several friction factors
Table 2 Density of the electrode wire made from fully dense alu-
minium alloy AA5083 and average density of the test samples cut out
from the deposited aluminium alloy AA5083
Wire Test samples(Average values)
Mass out of wate r (g) 2.062 11.820Mass in water (g) 1.279 7.319
Volume (cm3) 0.785 4.513
Density ρ (g/cm3) 2.626 2.619
Table 3 Geometry and lubrication conditions utilized in the forma-
bility tests
Cylinder specimen Tapered specimen
H
D
w0
h0
D
d
tH
H (mm) 25 25
D (mm) 25 30
endD (mm) – 25
t (mm) – 5
Lubrication Dry MoS2 Dry
Label Cd Cl Td
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The procedure utilized to determine the experimental
strains at fracture and the corresponding fracture locus was
similar to that described by Silva et al. [10]. The procedure
makes use of rectangular grids with 3 mm initial side
length that are engraved at the mid-height of the specimens
(refer to the black squares in Table 3) and measured for
different vertical displacements of the compression platens
in a Mitutoyo TM-111 toolmaker’s microscope equipped
with an XY measurement micrometre table.
The experimental axial ez and circumferential eh strains,corresponding to each vertical displacement of the com-
pression platens in which grids are measured, are obtained
as follows,
ez ¼ lnh
h0eh ¼ ln
w
w0
ð3Þ
where h0 and h are the initial and actual heights, and w0 and
w are the initial and actual widths of the rectangular grid.
The radial strain is determined by incompressibility
er = -(ez ? eh).
3 Finite element modelling
The experimental tests were simulated with the in-house
finite element computer program I-form that is being
developed and validated against experimental results since
the end of the 1980s [11]. I-form allows modelling the
plastic deformation of porous metals by means of the fol-
lowing functional,
P ¼Z
V
rij _eij dV �Z
ST
Ti ui dS ¼ 0 ð4Þ
where rij and _eij are the stress and strain rate tensors, and Tiand ui are the surface tractions and velocities on the surface
ST.
The constitutive equations of the yield criterion utilized
for modelling the plastic deformation of porous metals
proposed by Doraivelu et al. [12] are written as follows,
rij ¼�r_�e
2
A_e0ij þ
dij3 ð3� AÞ _ev
� �ð5Þ
where the symbols �r and _�e denote the effective stress and
effective strain rate, r0ij and _e0ij represent the deviatoric
stress and deviatoric strain rate, and _ev is the volumetric
strain rate given by _ev ¼ _R�R, where R is the relative
density. The initial uniform relative density R0 = 0.997 of
the deposited aluminium alloy AA5083 was experimen-
tally determined by means of Eq. (2).
The effective stress �r in Eq. (5) is a function of the first
invariant of the stress tensor J1 and of the second invariant
of the deviatoric stress tensor J02,
�r2 ¼ AJ02 þ BJ1
A ¼ 2þ R2 B ¼ 1� A
3C ¼ 2R2 � 1 ð6Þ
In what regards modelling the onset of failure by frac-
ture, it was decided to utilize an uncoupled ductile damage
approach that made use of the normalized version of the
Cockcroft and Latham [13] criterion,
Dcrit ¼Z�ef
0
r1�rd�e ð7Þ
where r1 is the major principal stress and �ef is the effectivestrain at fracture. The choice of Cockcroft and Latham’s cri-
terion instead of another ductile damage criteriawas due to the
fact that typical crack opening mode in upset compression
processes (bulk forming) is by ‘out-of-plane shearing’, also
known as ‘mode III’ of fracture mechanics [14].
The finite element models of the cylindrical and tapered
formability test specimens took advantage of the rotational
symmetry conditions of the experimental setup. The
material was discretized by means of linear quadrilateral
elements with an initial uniform relative density
R0 = 0.997, to account for the porosity of the deposited
aluminium alloy AA5083 sample. The compression platens
were modelled as rigid objects and were discretized by
means of linear contact elements with friction. Figure 5
shows the initial and final deformed mesh of the tapered
formability test specimen.
The numerical simulations were carried out through a
succession of displacement increments each one modelling
approximately 0.1% of the initial height of the specimen
and the overall computing time for a typical analysis
Fig. 5 Initial and final deformed mesh of the finite element model
utilized for the numerical simulation of a tapered test specimen
compressed between flat parallel platens
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containing 6000 elements and 6100 nodal points was below
1 min on a standard laptop computer equipped with an
Intel i7 CPU (2.7 GHz) processor.
4 Results and discussion
4.1 Formability tests
Figure 6a, b show the finite element predicted geometries
of the cylindrical (‘Cd’) and tapered (Td’) formability test
specimens (Table 3) at the onset of failure by fracture and
the corresponding distributions of effective strain �e, relativedensity R and accumulated ductile damage D.
As seen, apart from a small localized region of the
specimens containing their mid-height free surfaces where
the relative density R % R0 % 0.997 is similar to that of
the original deposited metal, the remaining regions are
fully dense R % 1. This is due to high negative stress-
triaxiality rm=�r resulting from the compression loading
applied by the platens and allows concluding that inter-
layer rolling during metal deposition is not needed in case
Fig. 6 Formability of the deposited aluminium alloy AA5083.
a Finite element computed distributions of effective strain for the
formability test specimens ‘Cd’ (left) and ‘Td’ (right) of Table 3;
b finite element computed distributions of relative density (left part of
the distributions) and ductile damage (right part of the distributions)
for the formability test specimens ‘Cd’ (left) and ‘Td’ (right) of
Table 3; c experimental and finite element predicted evolutions of the
force with displacement for test specimens ‘Cd’ (left) and ‘Td’ (right)
of Table 3
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forging operations are included in the additive manufac-
turing route. In fact, not only voids are closed as material
strain hardening (refer to the distributions of effective
strain in Fig. 5a) but it also significantly improves the
overall stress response of the final part.
The finite element results and inserts photographs in
Fig. 6a, b also allow concluding that failure by cracking is
triggered at the mid-height free surface of the specimens, in
close accordance with the distribution of the accumulated
damage given by the normalized version of the Cockcroft–
Latham ductile damage criterion (7). In fact, contrary to
what one might think, the out-of-plane shear cracks that are
observed in both specimens are caused by the accumulation
of ductile damage beyond a critical value D[Dcrit and not
by the existence of residual porosity.
The vertical displacement of the compression platens
corresponding to the instant of time where cracks are
triggered coincides with the end of the experimental evo-
lutions of the force with displacement in Fig. 6c. The
overall agreement between the experimental and finite
element predicted evolutions is very good.
The experimental and finite element predicted strain
loading paths for the three different formability testing
conditions of Table 3 are shown in Fig. 7. As seen, the
limiting fracture strain pairs on the free surface of the spec-
imens where cracks are triggered fall on a fracture locus
consisting of a straight linewith slope ‘-1/2’. This result is in
excellent agreement with what is commonly found in spec-
imens made from wrought (fully dense) ductile metals.
In fact, investigations by Kudo and Aoi [15] and Kuhn
et al. [8] performed in the late 1960s and early 1970s
showed that the limiting fracture strain pairs on the outside
surfaces of upset test specimens made from wrought duc-
tile metals fall on a straight line with slope ‘-1/2’ in the
principal strain space (that is, fall on a line parallel to
uniaxial compression loading under frictionless
conditions). Martins et al. [14] recently proved that the
fracture loci of wrought ductile metals with slope ‘-1/2’
are associated to failure under crack opening mode III.
As a result of this, it can be concluded that the slope and
the crack opening mode (by out-of-plane shear stresses) of
the deposited aluminium alloy AA5083 are identical to
those commonly observed in wrought ductile metals.
Moreover, the y-intercept where the experimental straight
line with slope ‘-1/2’ of the fracture locus crosses the eh-axis, indicates good ductility of the deposited aluminium
alloy AA5083.
4.2 Compression forming
Heading is a compression forging operation for enlarging
and reshaping some of the cross-sectional area of a rod. In
its simplest form, the deformation is accomplished by
holding the rod between grooved dies and applying axial
compression to its end by means of a flat compression
platen.
The advantage of modifying the conventional additive
manufacturing route consisting of metal deposition and
machining to include an intermediate heading stage is
related to the benefits in material and time deposition
savings and in scrap removal by final machining, due to the
possibility of spreading the end of the deposited metal
stock by plastic deformation. This is interesting for small
production runs of flanged components, among other parts.
As a result of what was mentioned above, the aim of this
last section of the paper is to evaluate the overall forma-
bility of the deposited aluminium alloy AA5083 during a
typical cold heading operation and to analyse the distri-
bution of porosity in the final part.
Figure 8a, b shows the initial and finite element pre-
dicted geometries of the cold headed part and the computed
distribution of effective strain, relative density and ductile
Fig. 7 Fracture locus of the
deposited aluminium alloy
AA5083 in the principle strain
space determined from the
experimental fracture strains of
the formability test specimens
listed in Table 3. The solid
markers correspond to
experimental strain pairs
measured for several
intermediate levels of
deformation and the lines are
the finite element computed
strain loading paths
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damage. As seen, plastic deformation and material strain
hardening are localized in the upper end of the rod. The
amount of accumulated ductile damage after which cracks
are triggered (Dcrit % 0.2) is compatible with that of the
formability test specimens, and the corresponding fracture
strains and strain loading paths are also in good agreement
with the previously determined fracture locus (Fig. 7).
The computed distribution of relative density is also
compatible with the experimental observations of porosity
in different regions of the cold headed part (please refer to
the inset photographs). This result allows concluding that
the extension of additive manufacturing to include heading
avoids the utilization of inter-layer rolling because voids
are closed by the high negative values of stress-triaxiality
rm=�r. The final strength is also significantly increased by
material strain hardening.
5 Conclusions
The mechanical and formability characteristics of an alu-
minium alloy AA5083 sample deposited by wire arc
additive manufacturing were investigated by means of
conventional tests performed on cylindrical and tapered
test specimens. Results show that the deposited aluminium
alloy AA5083 is isotropic and that its overall ductility is
appropriate to extend conventional additive manufacturing
routes to include intermediate forming operations.
The results from experimental and finite element anal-
ysis of formability revealed that the limiting strain pairs of
cylindrical and tapered test specimens made from the
deposited aluminium alloy AA5083 fall on a fracture locus
consisting of a straight line with slope ‘-1/2’ in the prin-
cipal strain space. This result is similar to what is
Fig. 8 Cold heading of the deposited aluminium alloy AA5083. a Finite element computed distributions of effective strain, relative density and
ductile damage at the instant of deformation where cracks are triggered; b computed strain loading path in the principal strain space
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commonly found in specimens made from wrought (fully
dense) ductile metals, and is typical of crack opening by
out-of-plane shear (mode III of fracture mechanics).
Experimental and finite element modelling of the cold
heading of a rod made from the deposited aluminium alloy
AA5083 not only confirmed the formability limits deter-
mined with cylindrical and tapered test specimens as they
also confirmed that intermediate forming operations with
compressive-dominant stress states successfully promote
the closure of voids and improve material strength through
strain hardening. This last result allows circumventing the
need of inter-layer rolling to eliminate porosity.
Acknowledgements The authors would like to acknowledge the
support provided by Fundacao para a Ciencia e a Tecnologia of
Portugal and IDMEC under LAETA—UID/EMS/50022/2013 and by
the European Commission under the H2020 Programme within the
project Lasimm ‘‘Large Additive Subtractive Integrated Modular
Machine’’—Grant Agreement 723600.
References
1. Qi HB, Yan YN, Lin F, He W, Zhang RJ (2006) Direct metal part
forming of 316L stainless steel powder by electron beam selec-
tive melting. J Eng Manuf 202:1845–1853
2. Abe F, Osakada K, Shiomi M, Uematsu K, Matsumoto M (2001)
The manufacturing of hard tools from metallic powders by
selective laser melting. J Mater Process Technol 111:210–213
3. Williams SW, Martina F, Addison AC, Ding J, Pardal G, Cole-
grove P (2016) Wire ? arc additive manufacturing. Mater Sci
Technol 32:641–647
4. Cong B, Ding J, Williams SW (2015) Effect of arc mode in cold
metal transfer process on porosity of additively manufactured Al-
6.3%Cu alloy. Int J Adv Manuf Technol 76:1593–1606
5. Gu J, Ding J, Williams SW, Gu H, Ma P, Zhai Y (2016) The
effect of inter-layer cold working and post-deposition heat
treatment on porosity in additively manufactured aluminium
alloys. J Mater Process Technol 230:26–34
6. Kurkin S, Anufriev V (1984) Preventing distortion of welded
thin-walled members of AMg6 and 1201 aluminium alloys by
rolling the weld with a roller behind the welding arc. Weld Prod
31:32–34
7. Colegrove PA, Coules HE, Fairman J, Martina F, Kashoob T,
Mamash H, Cozzolino LD (2013) Microstructure and residual
stress improvement in wire and arc additively manufactured parts
through high-pressure rolling. J Mater Process Technol
213:1782–1791
8. Kuhn H, Ferguson BL (1990) Powder forging. Metal Powder
Industries Federation, Princeton
9. Ding D, Pan Z, Cuiuri D, Li H (2015) A multi-bead overlapping
model for robotic wire and arc additive manufacturing (WAAM).
Robot Comput Integr Manuf 31:101–110
10. Silva CMA, Alves LM, Nielsen CV, Atkins AG, Martins PAF
(2015) Failure by fracture in bulk metal forming. J Mater Process
Technol 215:287–298
11. Nielsen CV, Zhang W, Alves LM, Bay N, Martins PAF (2013)
Modelling of thermo-electro-mechanical manufacturing pro-
cesses with applications in metal forming and resistance welding.
Springer-Verlag, London
12. Doraivelu SM, Gegel HL, Gunasekera JS, Mains JC, Morgan JT
(1984) A new yield function for compressible P/M materials. Int J
Mech Sci 26:527–535
13. Cockroft MG, Latham DJ (1968) Ductility and the workability of
metals. J Inst Metals 96:33–39
14. Martins PAF, Bay N, Tekkaya AE, Atkins AG (2014) Charac-
terization of fracture loci in metal forming. Int J Mech Sci
83:112–123
15. Kudo H, Aoi K (1967) Effect of compression test condition upon
fracturing of a medium carbon steel. J Jpn Soc Technol Plast
8:17–27
4068 J Braz. Soc. Mech. Sci. Eng. (2017) 39:4059–4068
123
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