论文标题
粘度和硬化消失的耦合弹性塑性损伤系统的奇异极限
Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish
论文作者
论文摘要
本文研究了模型耦合弹性性和损害的渐近分析，具体取决于三个参数 - 塑料应变的粘度，塑料硬化和收敛速率以及置于平衡的位移 - 随着它们在不同的订单中消失。在任何情况下，与Crismale和Rossi在2019年提出的概念中，获得的极限进化概念被证明是一致的；此外，对于仅存在粘度参数的类似模型，这种解决方案与Crismale和Lazzaroni在2016年在消失的粘度限制中获得的解决方案密切相关。
The paper studies the asymptotic analysis of a model coupling elastoplasticity and damage depending on three parameters -- governing viscosity, plastic hardening, and convergence rate of plastic strain and displacement to equilibrium -- as they vanish in different orders. The notion of limit evolution obtained is proven to coincide in any case with a notion introduced by Crismale and Rossi in 2019; moreover, such solutions are closely related to those obtained in the vanishing-viscosity limit by Crismale and Lazzaroni in 2016, for the analogous model where only the viscosity parameter was present.
