Elastic-plastic behavior of particle reinforced composites influence of residual stresses
Date of Original Version
A three-phase self-consistent model is developed for particulate composites consisting of spherical inclusions in an elastic-plastic matrix. The effective properties are estimated for a three-phase geometry that consists of a composite sphere (a spherical inclusion in a spherical matrix shell) embedded in an infinite unknown effective material subjected to axisymmetric boundary conditions at infinity. The matrix material is described by a J2 flow theory with power law hardening and both isotropic and kinematic hardening descriptions. The effective material is assumed to obey a J2 flow theory with the hardening determined implicitly through the self-consistent approximation. A Rayleigh-Ritz approximation is used to solve the incremental boundary value problem. The model is used to investigate the effects of processing induced residual stresses on the composite elastic-plastic response. It is shown that residual stresses can lead to significant macroscopic composite hardening and a slight tension/compression asymmetry. © 1991.
Mechanics of Materials
Taggart, D. G., and J. L. Bassani. "Elastic-plastic behavior of particle reinforced composites influence of residual stresses." Mechanics of Materials 12, 1 (1991): 63-80. doi:10.1016/0167-6636(91)90053-3.