Davoli, ElisaMora, Maria Giovanna2012-04-042012-04-042012-04https://openscience.sissa.it/handle/1963/5673The subject of this paper is the rigorous derivation of a quasistatic evolution model for a linearly elastic - perfectly plastic thin plate. As the thickness of the plate tends to zero, we prove via Gamma-convergence techniques that solutions to the three-dimensional quasistatic evolution problem of Prandtl-Reuss elastoplasticity converge to a quasistatic evolution of a suitable reduced model. In this limiting model the admissible displacements are of Kirchhoff-Love type and the stretching and bending components of the stress are coupled through a plastic flow rule. Some equivalent formulations of the limiting problem in rate form are derived, together with some two-dimensional characterizations for suitable choices of the data.enPreprintGamma-convergencequasistatic evolutionrate-independent processesPrandtl-Reuss plasticityperfect plasticitythin plates