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 plasticity two-scale model differential inclusion nonlinear wave equation |
URI: | http://hdl.handle.net/2003/26973 http://dx.doi.org/10.17877/DE290R-8487 |
Issue Date: | 2010-03-12T11:11:14Z |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
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File | Description | Size | Format | |
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mathematicalPreprint-2010-04.pdf | 444.26 kB | Adobe PDF | View/Open |
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