Homogenization of plasticity equations with two-scale convergence methods
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Date
2013-10-09
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Abstract
We investigate the deformation of heterogeneous plastic materials. The
model uses internal variables and kinematic hardening, elastic and plastic strain
are used in an infinitesimal strain theory. For periodic material properties with
periodicity length scale n > 0, we obtain the limiting system as n -> 0. The limiting
two-scale plasticity model coincides with well-known effective models. Our
direct approach relies on abstract tools from two-scale convergence (regarding
convex functionals and monotone operators) and on higher order estimates for
solution sequences.
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Keywords
convex analysis, homogenization, plasticity, two-scale convergence