Abstract
In this paper, the generalized finite difference method is adopted for solving antiplane shear problems with multiple inclusions. This method is applied to domains in matrix and inclusions respectively in which the local Taylor expansion and moving least square method are applied to form the local system. And the final sparse system is obtained through satisfying the continuity and equilibrium conditions along the interface between matrix and inclusions. Two numerical examples containing several number of inclusions with various locations, shapes, sizes as well as different shear moduli are provided to assess the applicability and accuracy of the proposed method. It is verified that the proposed method can be used for problems when the ratio of shear moduli is extremely large. The comparison is made between the proposed method and reference solutions.
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