The frame-indifferent viscoelasticity in Kelvin-Voigt rheology at large strains is formulated in the reference configuration (i.e. using the Lagrangian approach) considering also the possible self-contact in the actual deformed configuration. Using the concept of 2nd-grade nonsimple materials, existence of certain weak solutions which are a.e. injective is shown by converging an approximate solution obtained by the implicit time discretisation.

中文翻译：

---

大应变下自接触的准静态粘弹性

大应变下 Kelvin-Voigt 流变学中的框架无关粘弹性在参考配置（即使用拉格朗日方法）中公式化，同时考虑了实际变形配置中可能的自接触。使用二阶非简单材料的概念，通过收敛隐式时间离散化获得的近似解来显示某些弱解的存在，这些弱解是ae单射的。