NUMERICAL HOMOGENIZATION OF PERIODIC COMPOSITE MATERIALS WITH NON-LINEAR MATERIAL COMPONENTS

In this paper a numerically developed homogenized constitutive relation for the global behaviour of periodic composite materials with elasto-plastic components is derived. The algorithm presented is general and can be applied to any kind of non-linear material behaviour respecting the complementarity rule. The method, different from those presented in the literature, is currently restricted to small strains, plane problems and monotonic proportional loading conditions. Copyright © 1999 John Wiley & Sons, Ltd.