Uniform stresses inside two hyperbolic inhomogeneities

被引：0

作者：

Wang, Xu ^{[1
]}

Schiavone, Peter ^{[2
]}

机构：

[1] East China Univ Sci & Technol, Sch Mech & Power Engn, 130 Meilong Rd, Shanghai 200237, Peoples R China

[2] Univ Alberta, Dept Mech Engn, 10-203 Donadeo Innovat Ctr Engn, Edmonton, AB T6G 1H9, Canada

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2020年 / 71卷 / 03期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Hyperbolic inhomogeneity; Uniform stress field; Conformal mapping; Anti-plane elasticity; Plane elasticity; ELASTIC FIELD; INCLUSION;

D O I：

10.1007/s00033-020-01303-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the internal stresses inside two hyperbolic elastic inhomogeneities can indeed remain uniform when the matrix is subjected to uniform remote anti-plane and in-plane stresses. Conditions leading to internal uniform stresses are established rigorously for both anti-plane and plane elasticity. Once these conditions are satisfied, the internal uniform stresses inside the two hyperbolic inhomogeneities are determined explicitly.

引用

页数：9

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