On the Torsion of a Cylinder with Several Cracks

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Wang Xiao-chun, Tang Ren-ji. On the Torsion of a Cylinder with Several Cracks[J]. Applied Mathematics and Mechanics, 1988, 9(8): 693-702.

Citation:

Wang Xiao-chun, Tang Ren-ji. On the Torsion of a Cylinder with Several Cracks[J]. Applied Mathematics and Mechanics, 1988, 9(8): 693-702.

Citation:

Wang Xiao-chun, Tang Ren-ji. On the Torsion of a Cylinder with Several Cracks[J]. Applied Mathematics and Mechanics, 1988, 9(8): 693-702.

Abstract

In this paper,based on paper [1],the analytic expression of the torsion Junction for a cylinder containing arbitrary oriented cracks is obtained.The problem is reduced to solve a system of singular integral equations for the unknown dislocation density functions.Using the numerical method of the singular integral equations^[2,7],the torsional rigidities and stress intensity factors are evaluated for several multicracked cylinders.Next,the crk-cutting method^[5] is firstly extended to lve the torsion problem for a rectangular prism.The numerical results show that the method presented here is successful.

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