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.

中文翻译：

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具有不连续负载的速率无关系统的参数化BV解的存在性

我们研究了时间不连续加载情况下具有非凸能量的速率无关系统。我们通过时间增量问题证明了速率依赖的粘性正则化的存在，而所谓的参数化$ BV $-解决方案的存在是通过在合适的参数化设置中消失粘度来获得的。此外，我们证明了该解决方案集是紧凑的。