Harmonic Ellipsoidal Elastic Solid or Liquid Inclusions

IF 1.4 3区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Journal of Elasticity Pub Date : 2025-07-23 DOI:10.1007/s10659-025-10152-6

Xu Wang, Peter Schiavone

引用次数: 0

Abstract

We solve the inverse problem in three-dimensional elasticity associated with the design of a harmonic ellipsoidal isotropic elastic solid or compressible liquid inclusion that does not disturb the first invariant of the stress tensor in the surrounding isotropic elastic matrix subjected to uniform remote normal stresses. In order to achieve the harmonic condition, the two ratios of the remote normal stresses are uniquely determined for given geometric and material parameters.

查看原文本刊更多论文

调和椭球弹性固体或液体内含物

我们解决了三维弹性中的反问题，该反问题涉及到一个椭球面各向同性弹性固体或可压缩液体包体的设计，该包体不干扰周围各向同性弹性矩阵中的应力张量的第一不变量。在给定的几何参数和材料参数下，两个远端正应力的比值是唯一确定的，以达到谐波条件。

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

Journal of Elasticity 工程技术-材料科学：综合

CiteScore

3.70

自引率

15.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Elasticity was founded in 1971 by Marvin Stippes (1922-1979), with its main purpose being to report original and significant discoveries in elasticity. The Journal has broadened in scope over the years to include original contributions in the physical and mathematical science of solids. The areas of rational mechanics, mechanics of materials, including theories of soft materials, biomechanics, and engineering sciences that contribute to fundamental advancements in understanding and predicting the complex behavior of solids are particularly welcomed. The role of elasticity in all such behavior is well recognized and reporting significant discoveries in elasticity remains important to the Journal, as is its relation to thermal and mass transport, electromagnetism, and chemical reactions. Fundamental research that applies the concepts of physics and elements of applied mathematical science is of particular interest. Original research contributions will appear as either full research papers or research notes. Well-documented historical essays and reviews also are welcomed. Materials that will prove effective in teaching will appear as classroom notes. Computational and/or experimental investigations that emphasize relationships to the modeling of the novel physical behavior of solids at all scales are of interest. Guidance principles for content are to be found in the current interests of the Editorial Board.