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 c omponents is derived. The algorithm presented is general and can be applied to any kind of non-linear material behaviour respecting the complementarit y rule. The method, different from those presented in the literature, is cu rrently restricted to small strains, plane problems and monotonic proportio nal loading conditions. Copyright (C) 1999 John Wiley & Sons, Ltd.