用欧拉方法研究有限应变粘弹性多极固体与流体的相互作用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-09-23 DOI:10.1007/s00021-023-00817-4

Tomáš Roubíček

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引用次数: 1

摘要

利用高阶(所谓的二级多极)粘度的概念，在准静态变量中研究了可压缩粘弹性流体与粘弹性固体在Kelvin-Voigt流变中的力学相互作用。考虑了流体和固体之间的无滑移接触，并将欧拉框架返回映射技术用于流体和固体模型，从而允许对该流固相互作用问题进行“整体”表述。利用Schauder不动点论证结合适当的正则化证明了弱解的存在性和一定的正则性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach

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Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach

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.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.