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Carnegie Mellon Center for Nonlinear Analysis
Periodic Homogenization for a Model of Plasticity


Marco Veneroni
McGill University
Department of Mathematics and Statistics

: We study the n-dimensional wave equation coupled with an elasto-plastic nonlinear stress-strain relation. In the framework of periodic homogenization, we derive an effective system of equations in the limit of small-period oscillations. We prove well-posedness for the original and homogenized systems and we build a sequence of correctors. The proof relies on L. Tartar's method of the oscillating test function and on an adapted version of div-curl Lemma.

Joint work with B. Schweizer at TU Dortmund.