Archivio Istituzionale della RicercaWe study a rate-independent system with non-convex energy 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.
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads / Knees, Dorothee; Zanini, Chiara. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 14:1(2021), pp. 121-149. [10.3934/dcdss.2020332]
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads.
Chiara Zanini
2021
Abstract
We study a rate-independent system with non-convex energy 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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https://hdl.handle.net/11583/2793705