Uniformity of anti-plane stresses inside a nonlinear elastic elliptical or parabolic inhomogeneity

作     者：Wang, Xu Schiavone, Peter 

作者机构：East China Univ Sci & Technol Sch Mech & Power Engn Shanghai Peoples R China Univ Alberta Dept Mech Engn Edmonton AB Canada East China Univ Sci & Technol Sch Mech & Power Engn 130 Meilong Rd Shanghai 200237 Peoples R China Univ Alberta Dept Mech Engn 10-203 Donadeo Innovat Ctr Engn Edmonton AB T6G 1H9 Canada 

出 版 物：《MATHEMATICS AND MECHANICS OF SOLIDS》 (数学与固体力学)

年 卷 期：2024年第29卷第1期

页      面：121-128页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

基　　金：Natural Sciences and Engineering Research Council of Canada [RGPIN-2023-03227] 

主　　题：Nonlinear elasticity p-Laplacian elliptical inhomogeneity parabolic inhomogeneity uniform stress anti-plane elasticity complex variable method 

摘      要：We study the anti-plane strain problem associated with a p-Laplacian nonlinear elastic elliptical inhomogeneity embedded in an infinite linear elastic matrix subjected to uniform remote anti-plane stresses. A full-field exact solution is derived using complex variable techniques. It is proved that the stress field inside the elliptical inhomogeneity is nevertheless uniform. The uniformity of stresses is also observed inside a p-Laplacian nonlinear elastic parabolic inhomogeneity.