Calculus of Variations and Geometric Measure Theory

E. Davoli - C. Gavioli - V. Pagliari

A homogenization result in finite plasticity

created by davoli on 13 Dec 2022

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Inserted: 13 dec 2022
Last Updated: 13 dec 2022

Year: 2022

Abstract:

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-convergence of the energies in the limiting of vanish- ing periodicity. The constraint that plastic deformations belong to SL(3) poses the biggest hurdle to the analysis, and we address it by regarding SL(3) as a Finsler manifold.


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