TORSION OF COMPOSITE CYLINDER WITH CRACK AND INCLUSION
含有裂纹和夹杂的复合柱体的扭转

According to the theory of Saint-Venant's torsion, a fundamental solutionof a linear inclusion model proposed in this paper is obtained, which will be useful to the torsion problem. Using the obtained solution together with the Muskhelishvili's potential solution of single layer and the fundamental solution of a single crack, the torsion problem of a composite-cylinder with crack and inclusion is studied. Finally, the problem is reduced to solving a set of mixed-type integral equations and at the same time the numerical method of solution is also proposed. Through degeneration of the problem, the correctness of the inclusion model is verified from the physical point of view. At the end, several numerical examples are calculated and the results are satisfactory.