The purpose of the current work is the application of a recent nonlocal extension (Reusch, F., Svendsen, B., and Klingbeil, D., 2003, “Local and Non-Local Gurson-Based Ductile Damage and Failure Modelling at Large Deformation,” Eur. J. Mech. A∕Solids, 22, pp. 779–792; “A Non-Local Extension of Gurson-Based Ductile Damage Modeling,” Comput. Mater. Sci., 26, pp. 219–229) of the Gurson–Needleman–Tvergaard (GTN) model (Needleman, A., and Tvergaard, V., 1984, “An Analysis of Ductile Rupture in Notched Bars,” J. Mech Phys. Solids, 32, pp. 461–490) to the simulation of ductile damage and failure processes in metal matrix composites at the microstructural level. The extended model is based on the treatment of void coalescence as a nonlocal process. In particular, we compare the predictions of the local with GTN model with those of the nonlocal extension for ductile crack initiation in ideal and real Al–SiC metal matrix microstructures. As shown by the current results for metal matrix composites and as expected, the simulation results based on the local GTN model for both the structural response and predicted crack path at the microstructural level in metal matrix composites are strongly mesh-dependent. On the other hand, those based on the current nonlocal void-coalescence modeling approach are mesh-independent. This correlates with the fact that, in contrast to the local approach, the predictions of the nonlocal approach for the crack propagation path in the real Al–SiC metal matrix composite microstructure considered here agree well with the experimentally determined path.

1.
Gurson
,
A. L.
, 1977, “
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I-Yield Criteria and Flow Rules for Porous Ductile Media
,”
ASME J. Eng. Mater. Technol.
0094-4289,
99
, pp.
2
15
.
2.
Needleman
,
A.
, and
Tvergaard
,
V.
, 1984, “
An Analysis of Ductile Rupture in Notched Bars
,”
J. Mech. Phys. Solids
0022-5096,
32
, pp.
461
490
.
3.
Geers
,
M. G. D.
,
Ubachs
,
R. L. J. M.
, and
Engelen
,
R. A. B.
, 2000, “
Strongly Non-Local Gradient-Enhanced Finite Strain Elastoplasticity
,”
Int. J. Numer. Methods Eng.
0029-5981,
49
, pp.
1
53
.
4.
Tvergaard
,
V.
, and
Needleman
,
A.
, 1995, “
Effects of Non-Local Damage in Porous Plastic Solids
,”
Int. J. Solids Struct.
0020-7683,
32
, pp.
1063
1077
.
5.
Ramaswamy
,
S.
, and
Aravas
,
N.
, 1998, “
Finite Element Implementation of Gradient Plasticity Models. Part I: Gradient-Dependent Yield Functions
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
163
, pp.
11
32
.
6.
Ramaswamy
,
S.
, and
Aravas
,
N.
, 1998, “
Finite Element Implementation of Gradient Plasticity Models. Part II: Gradient-Dependent Evolutions Equations
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
163
, pp.
33
53
.
7.
Reusch
,
F.
,
Svendsen
,
B.
, and
Klingbeil
,
D.
, 2003, “
Local and Non-Local Gurson-Based Ductile Damage and Failure Modelling at Large Deformation
,”
Eur. J. Mech. A/Solids
0997-7538,
22
, pp.
779
792
.
8.
Reusch
,
F.
,
Svendsen
,
B.
, and
Klingbeil
,
D.
, 2003, “
A Non-Local Extension of Gurson-Based Ductile Damage Modeling
,”
Comput. Mater. Sci.
0927-0256,
26
, pp.
219
229
.
9.
Svendsen
,
B.
, 2001, “
On the Modeling of Anisotropic Elastic and Inelastic Material Behaviour at Large Deformation
,”
Int. J. Numer. Methods Eng.
0029-5981,
38
, pp.
9579
9599
.
10.
Drabek
,
T.
, and
Böhm
,
H. J.
, 2006, “
Micromechanical Finite Element Analysis of Metal Matrix Composites Using Nonlocal Ductile Failure Models
,”
Comput. Mater. Sci.
0927-0256,
37
, pp.
29
36
.
11.
Chao
,
H.
,
Bai
,
J.
, and
Ghosh
,
S.
, 2007, “
Micromechanical and Macroscopic Models of Ductile Fracture in Particle Reinforced Metallic Materials
,”
Modell. Simul. Mater. Sci. Eng.
0965-0393,
15
, pp.
S377
S392
.
12.
Ghosh
,
S.
,
Bai
,
J.
, and
Raghavan
,
P.
, 2007, “
Concurrent Multi-Level Model for Damage Evolution in Microstructurally Debonding Composites
,”
Mech. Mater.
0167-6636,
39
, pp.
241
266
.
13.
Svendsen
,
B.
, 1998, “
A Thermodynamic Formulation of Finite-Deformation Elastoplasticity With Hardening Based on the Concept of Material Isomorphism
,”
Int. J. Plast.
0749-6419,
14
, pp.
473
488
.
14.
Chu
,
C. C.
, and
Needleman
,
A.
, 1980, “
Void Nucleation Effects in Biaxially Stretched Sheets
,”
ASME J. Eng. Mater. Technol.
0094-4289,
102
, pp.
249
256
.
15.
Koplic
,
J.
, and
Needleman
,
A.
, 1988, “
Void Growth and Coalescence in Porous Plastic Solids
,”
Int. J. Solids Struct.
0020-7683,
24
, pp.
835
853
.
16.
Svendsen
,
B.
, 1999, “
On the Thermodynamics of Thermoelastic Materials With Additional Scalar Degrees of Freedom
,”
Continuum Mech. Thermodyn.
0935-1175,
4
, pp.
247
262
.
17.
Simo
,
J. C.
, and
Hughes
,
T. J. R.
, 1999,
Computational Inelasticity
,
Springer-Verlag
,
Berlin
.
You do not currently have access to this content.