Acta Mech. 119, 93-117, 1996
Institute of Lightweight Structures and Aerospace
TU Wien, Vienna, Austria
A multiphase material is considered, which consists of a homogeneous
elastoplastic matrix containing a homogeneous statistically uniform random
set of ellipsoidal elastic inclusions.
An approach based on the multiparticle effective field method is
introduced for determining the overall elastoplastic behavior of the
material under monotonic loading.
A secant modulus concept is employed, and linearized problems are solved
at each step of an iterative procedure.
Physically consistent assumptions are used for linearizing nonlinear
functions which depend on the phase averages of the second invariant of
stress and on the stress deviator.
Exact expressions for the second moments of the microstresses are employed.