Computational Methods for Debonding in Composites

10 Elastoplastic Modeling of Multi-phase Metal Matrix Composite 211
Table 10.1 Properties table
σ 33 [=σ 22 ] [MPa]
400
350
300
250
200
150
100
50
JLS PA JL1 JL2 Ll
Em [GPa] 70 73 55.8 68.3 71.8
νm 0.3 0.33 0.32 0.33 0.33
E f [GPa] 450 485 397 490 450
ν f 0.2 0.2 0.2 0.17 0.17
σyv [MPa] 300 220 87.8 250 169
h [GPa] 1,000 370 972 137 463.24
q 0.5 0.3 0.55 0.55 0.39252
c f 0.15 0.20 0.20 0.20 0.06,0.13
Shape PS S S S S
ζ 3 1 1 1 1
Mises
Gurson−0.02
Gurson−0.08
Lee−perfectly bonded
Lee−porous
0
0 1 2 3
ε [=ε ] [10
33 22
4 5 6
−3 ]
Fig. 10.1 Results: Biaxial Loading, Ju and Lee 2000
requires the matrix phase to satisfy the classical plasticity theory. Also, Ju and Lee
proposed an interfacial debonding process which is governed by the mean stress of
the matrix phase while the damage evolution is governed by the Weibull interfacial
strength parameter [9, 18]. Also, they present a comparison with an experimental
study documented by Llorca in 1991. We compare our results to both Ju and Lee’s
results (Fig. 10.1) and Llorca’s results (Fig. 10.2).