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.
| Original language | English |
|---|---|
| Number of pages | 59 |
| Journal | SIAM Journal on Mathematical Analysis |
| Publication status | Published - 2019 |
Austrian Fields of Science 2012
- 101002 Analysis
Keywords
- Weighted-Inertia-Dissipation-Energy
- dynamic perfect plasticity
- elliptic regularization
- time discretization
- functions of bounded deformation