Dual finite element methods in homogenization for elastic-plastic fibrous composite material

The problem of homogenization for a periodic, elastic-perfectly plastic, fi ber reinforced, composite material is considered. The overall mechanical be havior of the material is described using the anisotropic model of elastic- plastic body with kinematic hardening. The appropriate initial-boundary val ue problem, set for one repeatable cell of the composite, is solved in orde r to find the effective constitutive relations. The cell problem is solved using the finite element method formulated in two dual forms: in displaceme nts and in stresses. Stress functions are used in the latter formulation. ( C) 2000 Published by Elsevier Science Ltd. All rights reserved.