Calculus of Variations and Geometric Measure Theory
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E. Davoli - U. Stefanelli

Dynamic perfect plasticity as convex minimization

created by davoli on 07 Nov 2016
modified on 07 Jan 2019

[BibTeX]

Accepted Paper

Inserted: 7 nov 2016
Last Updated: 7 jan 2019

Journal: SIAM Journal on Mathematical Analysis
Year: 2019

Abstract:

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.


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