A Degenerating Robin-Type Traction Problem in a periodic Domain

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-09-06 DOI:10.3846/mma.2023.17681

M. D. Riva, Gennady Mishuris, P. Musolino

引用次数: 0

Abstract

We consider a linearly elastic material with a periodic set of voids. On the boundaries of the voids we set a Robin-type traction condition. Then, we investigate the asymptotic behavior of the displacement solution as the Robin condition turns into a pure traction one. To wit, there will be a matrix function b[k](·) that depends analytically on a real parameter k and vanishes for k = 0 and we multiply the Dirichlet-like part of the Robin condition by b[k](·). We show that the displacement solution can be written in terms of power series of k that converge for k in a whole neighborhood of 0. For our analysis we use the Functional Analytic Approach.

查看原文本刊更多论文

周期域上退化的robin型牵引问题

我们考虑一种具有周期性空洞的线弹性材料。在空隙边界设置罗宾型牵引条件。然后，我们研究了Robin条件变为纯牵引条件时位移解的渐近性态。也就是说，会有一个矩阵函数b[k](·)，它解析地依赖于一个实参数k，并在k = 0时消失，我们将罗宾条件的狄利克雷部分乘以b[k](·)。我们证明了位移解可以写成k的幂级数，k收敛于0的整个邻域内。对于我们的分析，我们使用泛函分析方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.