Dual finite element methods in homogenization for elastic-plastic fibrous composite material. (English) Zbl 0969.74070

Summary: We consider the problem of homogenization for a periodic, elastic-perfectly plastic fiber-reinforced composite material. The overall mechanical behavior of the material is described using the anisotropic model of elastic-plastic body with kinematic hardening. The appropriate initial-boundary value problem, set for one repeatable cell of the composite, is solved in order to find effective constitutive relations. The cell problem is solved using the finite element method formulated in two dual forms: in displacements and in stresses. Stress functions are used in the latter formulation.


74S05 Finite element methods applied to problems in solid mechanics
74Q05 Homogenization in equilibrium problems of solid mechanics
74E30 Composite and mixture properties
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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