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Publication 14-CNA-022

Stress Regularity for a New Quasistatic Evolution Model of Perfectly Plastic Plates

Elisa Davoli
Department of Mathematical Sciences
Carnegie Mellon University Pittsburgh, PA 15213
edavoli@andrew.cmu.edu

Maria Giovanna Mora
Dipartimento di Matematica
Universita di Pavia
Pavia, Italy

Abstract: We study some properties of solutions to a quasistatic evolution problem for perfectly plastic plates, that has been recently derived from three-dimensional Prandtl-Reuss plasticity. We prove that the stress tensor has locally square-integrable first derivatives with respect to the space variables. We also exhibit an example showing that the model under consideration has in general a genuinely three-dimensional nature and cannot be reduced to a two-dimensional setting.

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