Authors: Schweizer, Ben
Veneroni, Marco
Title: Periodic homogenization of Prandtl-Reuss plasticity equations in arbitrary dimension
Language (ISO): en
Abstract: We study the n-dimensional wave equation with an elasto-plastic nonlinear stress-strain relation. We investigate the case of heterogeneous materials, i.e. x-dependent parameters that are periodic at the scale n > 0. We study the limit n -> 0 and derive the plasticity equations for the homogenized material. We prove the well-posedness for the original and the effective system with a finite-element approximation. The approximate solutions are used in the homogenization proof which is based on oscillating test function and an adapted version of the div-curl Lemma.
Subject Headings: homogenization
two-scale model
differential inclusion
nonlinear wave equation
Issue Date: 2010-03-12T11:11:14Z
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

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