Method of Strongly Singular Integral Equation for the Torsion of Cylinder with Edge Crack

Wang Jin-song; Tang Ren-ji

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(8): 665-671

Wang Jin-song, Tang Ren-ji. Method of Strongly Singular Integral Equation for the Torsion of Cylinder with Edge Crack[J]. Applied Mathematics and Mechanics, 1993, 14(8): 665-671.

Citation:

Wang Jin-song, Tang Ren-ji. Method of Strongly Singular Integral Equation for the Torsion of Cylinder with Edge Crack[J]. Applied Mathematics and Mechanics, 1993, 14(8): 665-671.

Citation:

Wang Jin-song, Tang Ren-ji. Method of Strongly Singular Integral Equation for the Torsion of Cylinder with Edge Crack[J]. Applied Mathematics and Mechanics, 1993, 14(8): 665-671.

PDF( 412 KB)

Method of Strongly Singular Integral Equation for the Torsion of Cylinder with Edge Crack

Shanghai Jiaotong University, Shanghai

Received Date: 1992-05-22
Publish Date: 1993-08-15

Abstract

Abstract

From the dislocation type solution of the torsion of single crack,by using the concept of finite part integrals,we reduce the torsion problem of cylinder with a single crack into an integral equation with strong singularity.The numerical method is also obtained and several numerical examples are calculated successfully at the end of this paper.
- the torsion of the cylinder with edge crack,
- strongly singular integral,
- stress intensity factor

FullText(HTML)

References(8)

References

[1]	Ioakimidis,N.I.,Application of finite part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity,Acta Mechanica,45(1982).
[2]	Erdogan,F.,Mixed boundary-value problems in mechanics,Mechanics Today,4(1978).
[3]	Kaya,A.C.and F.Erdogan,On the solution of integral equations with strongly singular kernels,Quart.Appl.Math.,14,1(1987).
[4]	Martin,P.A.and F.J.Rizzo,On boundary integral equations for crack problems,Proc.R.Soc.Lond,A 421(1989).
[5]	王晓春、汤任基.关于多裂纹圆柱体的扭转,应用数学和力学,8(8)(1988),693-702.
[6]	沈燮昌,《多项式最佳遇近的实现》,上海科学技术出版社(1984).
[7]	王劲松,本科生毕业论文,上海交通大学(l990).
[8]	钱伟长、林鸿荪、胡海昌、叶开沅,《弹性理论的扭转理论》.科学出版社(1956).