We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming that the composite has a periodic microscopic structure, we establish the Γ Γ -convergence of the energies in the limiting of vanishing periodicity. The constraint that plastic deformations belong to SL(3) SL ( 3 ) poses the biggest hurdle to the analysis, and we address it by regarding SL(3) SL ( 3 ) as a Finsler manifold.
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Davoli et al. (2024) studied this question.
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