{"title":"Uniform anti‐plane stress field within two nonlinear elastic non‐elliptical inhomogeneities","authors":"Xu Wang, P. Schiavone","doi":"10.1002/zamm.202300443","DOIUrl":null,"url":null,"abstract":"We investigate the uniformity of anti‐plane stresses inside two interacting p‐Laplacian nonlinear elastic non‐elliptical inhomogeneities embedded in an infinite linear elastic matrix subjected to uniform remote anti‐plane stresses. In our discussion, the two inhomogeneities have a common nonlinear shear modulus. The uniformity of the internal stresses is accomplished through the numerical solution of a single non‐linear equation.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":"15 1","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1002/zamm.202300443","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the uniformity of anti‐plane stresses inside two interacting p‐Laplacian nonlinear elastic non‐elliptical inhomogeneities embedded in an infinite linear elastic matrix subjected to uniform remote anti‐plane stresses. In our discussion, the two inhomogeneities have a common nonlinear shear modulus. The uniformity of the internal stresses is accomplished through the numerical solution of a single non‐linear equation.
期刊介绍：
ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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