Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-12 DOI:10.1186/s13661-023-01788-1

Mohamed Abdelwahed, Nejmeddine Chorfi, Maatoug Hassine

引用次数: 0

Abstract

Abstract We study the determination of some rigid inclusions immersed in an isotropic elastic medium from overdetermined boundary data. We propose an accurate approach based on the topological sensitivity technique and the reciprocity gap concept. We derive a higher-order asymptotic formula, connecting the known boundary data and the unknown inclusion parameters. The obtained formula is interesting and useful tool for developing accurate and robust numerical algorithms in geometric inverse problems.

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用边界测量法测定各向同性弹性体中的刚性夹杂物

摘要研究了浸在各向同性弹性介质中的刚性包裹体的超定边界确定问题。我们提出了一种基于拓扑灵敏度技术和互易间隙概念的精确方法。我们导出了一个高阶渐近公式，将已知的边界数据和未知的包含参数连接起来。所得公式是开发精确、鲁棒的几何反问题数值算法的有效工具。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.