In this paper, based on paper [1], the analytic expression of the torsion function for a cylinder containing arbitrary oriented cracks is obtaiv~d. The probtem is reduced to solve a system of singular integral equations for the unknown dislocation density fanctions. Using the numerical method of the singular integral equations [2,71, the torsional rigidities and stress intensity factors are evaluated for several multicracked cylinders. Next, the cr~Kcutting method (sl is firstly extended to lye the torsion problem for a rectangular prism. The numerical results show that the method presented here is successful.

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