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Interaction between dislocation and two circular cylindrical inclusions

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Abstract

In this paper, the elastic field of the infinite homogeneous medium with two circular cylindrical inclusions under the action of a screw dislocation is investigated and the corresponding analytical solution is obtained. Here, the conformal mapping and the theorem of analytical continuation are used. From the results obtained, it can be seen that the elastic field depends on the shear moduli of individual phases, the geometric parameters of the system, and the position and relative slip of the screw dislocation. In addition, the corresponding specific cases are also considered in this paper when two circular cylindrical inclusions are tangent to each other and they are holes and/or rigid inclusions. Finally, numerical results are illustrated to show the interaction between the screw dislocation and two circular cylindrical inclusions.

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The project supported by the National Natural Science Foundation of China, the State Education Commission Foundation and Failure Mechanics Lab of the State Education Commission.

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Linzhi, W., Shanyi, D. & Xingda, T. Interaction between dislocation and two circular cylindrical inclusions. Acta Mech Sinica 14, 328–338 (1998). https://doi.org/10.1007/BF02486871

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  • DOI: https://doi.org/10.1007/BF02486871

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