A. Bhattacharyya et Gj. Weng, PLASTICITY OF ISOTROPIC COMPOSITES WITH RANDOMLY ORIENTED AND PACKETED INCLUSIONS, International journal of plasticity, 10(5), 1994, pp. 553-578
Based on an energy approach, the nonlinear elastoplastic behavior of a
two-phase, isotropic composite with two kinds of inclusion morphologi
es are determined as a function of inclusion shape at the low concentr
ation range. Both types of morphology involve the three-dimensional ra
ndomly oriented spheroidal inclusions, but one is homogeneously disper
sed, resulting in an ordinary two-phase composite, and the other posse
sses a packeted structure in a form similar to a polycrystalline arran
gement. The overall elastoplastic response of these two kinds of compo
site is found to be strongly dependent upon the inclusion shape and th
eir morphological arrangement. Disc-shaped inclusions generally give a
superior reinforcing effect, but when the inclusions become very stif
f or totally rigid, needle-shaped inclusions tend to be more effective
. In line with the known elastic behavior, the overall elastoplastic r
esponse of an ordinary two-phase composite is markedly stiffer than th
at of the packeted composite at a given inclusion shape and concentrat
ion. The theory is finally compared with the finite-element calculatio
ns of a particle-reinforced composite and of a packeted one with oblat
e and prolate inclusions, and also with some experimental data for a s
ilicon-carbide/aluminium system. In both cases, reasonable agreement i
s found in the comparison.