论文标题
分别针对大型非弹性的速率独立过程的全球解决方案
Separately Global Solutions to Rate-Independent Processes in Large-Strain Inelasticity
论文作者
论文摘要
在本文中，我们介绍了针对大型速率独立系统的单独全局解决方案的概念，并为描述散装损害的模型提供了一个存在结果。我们的分析涵盖了爆炸以进行极端压缩的非凸能，产生了不包括物质互穿的解决方案，并允许处理变形的非线性耦合以及具有Eulerian和Lagrangian项的内部变量。特别是，是由在小应变设置中[49]中发展的理论的动机，对于单独凸的能量，我们提供了一个适合大菌株非弹性性的解决方案概念。
In this paper, we introduce the notion of separately global solutions for large-strain rate-independent systems, and we provide an existence result for a model describing bulk damage. Our analysis covers non-convex energies blowing up for extreme compressions, yields solutions excluding interpenetration of matter, and allows to handle nonlinear couplings of the deformation and the internal variable featuring both Eulerian and Lagrangian terms. In particular, motivated by the theory developed in [49] in the small strain setting, and for separately convex energies we provide a solution concept suitable for large strain inelasticity.
