Calculus of Variations and Geometric Measure Theory

E. Davoli - U. Stefanelli

Dynamic perfect plasticity as convex minimization

created by davoli on 07 Nov 2016
modified on 04 Sep 2020


Published Paper

Inserted: 7 nov 2016
Last Updated: 4 sep 2020

Journal: SIAM Journal on Mathematical Analysis
Year: 2019


We present a novel variational approach to dynamic perfect plasticity. This is based on minimizing over entire trajectories parameter-dependent convex functionals of Weighted-Inertia-Dissipation-Energy (WIDE) type. Solutions to the system of dynamic perfect plasticity are recovered as limit of minimizing trajectories are the parameter goes to zero. The crucial compactness is achieved by means of a time-discretization and a variational convergence argument.