Calculus of Variations and Geometric Measure Theory
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R. Rossi

Visco-Energetic solutions to some rate-independent systems in damage, delamination, and plasticity

created by rossi on 09 Mar 2018


Submitted Paper

Inserted: 9 mar 2018
Last Updated: 9 mar 2018

Year: 2018


This paper revolves around a newly introduced weak solvability concept for rate-independent systems, alternative to the notions of Energetic and Balanced Viscosity solutions. Visco-Energetic solutions have been recently obtained by passing to the time-continuous limit in a time-incremental scheme, akin to that for Energetic solutions, but perturbed by a `viscous' correction term, as in the case of Balanced Viscosity solutions. However, for Visco-Energetic solutions this viscous correction is tuned by a fixed parameter. The resulting solution notion turns out to describe a kind of evolution in between Energetic and Balanced Viscosity evolution.

In this paper we aim to investigate the application of Visco-Energetic solutions to the paradigmatic example of perfect plasticity, and to nonsmooth rate-independent processes in solid mechanics such as damage and plasticity at finite strains. With the limit passage from adhesive contact to brittle delamination, we also provide a first result of Evolutionary Gamma-convergence for Visco-Energetic solutions. The analysis of these applications reveals the wide applicability of this solution concept and confirms its intermediate character.


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