RELAXATION OF A MODEL IN FINITE PLASTICITY WITH TWO SLIP SYSTEMS

Abstract

The macroscopic material response of a variational model in geometrically nonlinear elasto-plasticity with two active slip systems, rigid elasticity, and hardening is determined. In particular, an explicit formula for the relaxation of the underlying energy density is given, both in the two-dimensional and a related three-dimensional setting. Finally, it is shown that the assumption of elastically rigid material behavior is justified since models with rigid elasticity can be obtained as Γ-limits of models with finite elastic energy for diverging moduli of elasticity.