Submitted Paper

Inserted: 25 sep 2019
Last Updated: 26 sep 2019

Year: 2019
Links: arXiv

Abstract:

We study a rate-independent system with non-convex energy and in the case of a time-discontinuous loading. We prove existence of the rate-dependent viscous regularization by time-incremental problems, while the existence of the so called parameterized BV-solutions is obtained via vanishing viscosity in a suitable parameterized setting. In addition, we prove that the solution set is compact.