Inserted: 9 jul 2014
Last Updated: 5 dec 2015
Journal: Calc. Var. Partial Differential Equations
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