An arbitrarily curved crack under uniform remote in-plane stresses

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 | 2025年 / 76卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Curved crack; Conformal mapping; Distributed dislocation technique; Image plane; Singular integral equation; Stress intensity factor; 74-10; NUMERICAL-SOLUTION; INTEGRAL-EQUATIONS;

D O I：

10.1007/s00033-024-02397-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An effective approach based on conformal mapping and distributed dislocation techniques is proposed to solve the plane problem of an arbitrarily curved crack in an infinite homogeneous and isotropic elastic plane under uniform remote in-plane stresses. A Cauchy-type singular integral equation is constructed in the image plane. The singular integral equation is solved numerically using the Gauss-Chebyshev integration formula to arrive at the stress intensity factors at the two crack tips. Numerical examples of an elliptical arc crack, a hypotrochoidal arc crack and a cycloid crack are presented to demonstrate the effectiveness of the proposed solution method.

引用

页数：14

共 18 条

[1] The interaction of a curved crack with a circular elastic inclusion [J].