|Title:||Periodic homogenization of Prandtl-Reuss plasticity equations in arbitrary dimension|
|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.|
nonlinear wave equation
|Appears in Collections:||Preprints der Fakultät für Mathematik|
Schweizer, Ben Prof. Dr.
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