External circular crack under arbitrary shear loading

被引:4
作者
Fabrikant, VI
机构
[1] Prisoner #167932 D, Donnacona Jail, Donnacona, Que. G0A 1TO, 1538
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1996年 / 47卷 / 05期
关键词
linear elasticity; external circular crack; shear loading; exact solution; integral equation; stress intensity factor; fracture mechanics; mixed boundary value problem;
D O I
10.1007/BF00915271
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An exact closed form solution in terms of elementary functions has been obtained to the governing integral equation of an external circular crack in a transversely isotropic elastic body. The crack is subjected to arbitrary tangential loading applied antisymmetrically to its faces. The recently discovered method of continuity solutions was used here. The solution to the governing integral equation gives the direct relationship between the tangential displacements of the crack faces and the applied loading. Now a complete solution to the problem, with formulae for the field of all stresses and displacements, is possible.
引用
收藏
页码:717 / 729
页数:13
相关论文
共 2 条
[1]   CONTINUATION OF SOME SOLUTIONS IN POTENTIAL-THEORY AND THEIR APPLICATIONS TO ELASTIC CONTACT AND CRACK PROBLEMS [J].
FABRIKANT, VI .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1993, 44 (05) :909-922
[2]  
Fabrikant VI., 1989, APPL POTENTIAL THEOR