论文标题
通过Eulerian方法的有限元素粘弹性多极固体和流体的相互作用
Interaction of finitely-strained viscoelastic multipolar solids and fluids by an Eulerian approach
论文作者
论文摘要
在近阶变体中研究了可压缩性粘弹性流体与开尔文 - voigt流变学中粘弹性固体的机械相互作用。考虑流体和固体之间的无滑动接触，并将Eulerian-Frame返回映射技术用于流体和固体模型，这允许对这种流体结构相互作用问题的“单层”配方。 Schauder定点参数与合适的正规化相结合证明了存在和弱解决方案的某些规律性。
A mechanical interaction of compressible viscoelastic fluids with viscoelastic solids in Kelvin-Voigt rheology using the concept of higher-order (so-called 2nd-grade multipolar) viscosity is investigated in a quasistatic variant. The no-slip contact between fluid and solid is considered and the Eulerian-frame return-mapping technique is used for both the fluid and the solid models, which allows for a "monolithic" formulation of this fluid-structure interaction problem. Existence and a certain regularity of weak solutions is proved by a Schauder fixed-point argument combined with a suitable regularization.
