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Publication 89

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


CMUElisa Davoli
Department of Mathematical Sciences
Carnegie Mellon University Pittsburgh, PA 15213

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

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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