Calculus of Variations and Geometric Measure Theory

E. Davoli - M. G. Mora

Stress regularity for a new quasistatic evolution model of perfectly plastic plates

created by mora on 09 Jul 2014
modified on 05 Dec 2015


Published Paper

Inserted: 9 jul 2014
Last Updated: 5 dec 2015

Journal: Calc. Var. Partial Differential Equations
Year: 2015


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.

Keywords: quasistatic evolution, rate-independent processes, Prandtl-Reuss plasticity, perfect plasticity, thin plates