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arXiv · 1909.11505

Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads

Dorothee Knees·Chiara Zanini
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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.

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Dorothee Knees, Chiara Zanini. 2019-09-25. Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. https://arxiv.org/abs/1909.11505

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