A symmetric liquid lip inclusion in an infinite isotropic elastic matrix

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, Donadeo Innovat Ctr Engn 10 203, Dept Mech Engn, Edmonton, AB T6G 1H9, Canada

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2024年

基金：

加拿大自然科学与工程研究理事会;

关键词：

Symmetric liquid lip inclusion; internal uniform hydrostatic tension; stress intensity factor; Skempton's pore-pressure coefficient; complex variable method; CLOSED-FORM SOLUTIONS;

D O I：

10.1177/10812865241282074

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the plane strain problem of a symmetric compressible liquid lip inclusion with two cusps in an infinite isotropic elastic matrix subjected to uniform remote in-plane normal stresses. The pair of analytic functions characterizing the elastic field in the matrix is derived in closed form. Explicit, elementary, and concise expressions in terms of the two Skempton's induced pore-pressure coefficients are obtained for the internal uniform hydrostatic tension within the liquid inclusion and the mode I stress intensity factor at the cusp tip. When the two remote normal stresses satisfy a single condition, the external loading will not induce any singular stress field at the cusp tips.

引用

页数：12