Schweizer, BenVeneroni, Marco2010-03-122010-03-122010-03-12http://hdl.handle.net/2003/2697310.17877/DE290R-8487We 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.enPreprints der Fakultät für Mathematik ; 2010-04homogenizationplasticitytwo-scale modeldifferential inclusionnonlinear wave equation610preprint