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Seminario di Equazioni Differenziali e Applicazioni: “Dynamic perfect plasticity as convex minimization”

Martedì 21 Febbraio 2017, ore 12:15 - Aula 2BC30 - Elisa Davoli

ARGOMENTI: Seminari

Martedì 21 Febbraio 2017 alle ore 12:15 in Aula 2BC30, Elisa Davoli (University of Vienna) terrà un seminario dal titolo “Dynamic perfect plasticity as convex minimization”.

Abstract
We present a novel approximation of solutions to the equations of dynamic linearized perfect plasticity, based on a global variational formulation of the problem by means of the Weighted-Inertia-Dissipation-Energy (WIDE) approach. Solutions to the system of dynamic Prandtl-Reuss perfect plasticity are identified as limit of minimizers of parameter-dependent energy functionals evaluated on trajectories (the WIDE functionals). Compactness is achieved by means of time-discretization, uniform energy estimate on minimizers of discretized WIDE-functionals, and passage to the limit in a parameter-dependent energy inequality. This is a joint work with Ulisse Stefanelli.

Rif. Int. M. Bardi, C. Marchi, A. Cesaroni.

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