Abstract
A recently developed numerical method based on a mixed volume and boudary integral equation method is applied to calculate the accurate stress intensity factors at the crack tips in ungounded isotropic solids in the presence of multiple anisotropic inclusions and cracks subject to external loads.firstly,it should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic mareix is involved intheir formulation for the analysis. Secondly, this method takes full advantage of the capabilities developed in FEM and BIEM.In this paper, a detailed analysis of the stress intensity factors are carried out for an unbounded isotropic matrix containing an orthotropic cylindrical inclusion and a crack. The accuracy and effectiveness of the new method are examined through comparison with results obtained from analytical method and valume interal equation method. It is demonstrated that this new method is very accurate and effective for solving plane elastostatic problems in unbounded solids containing anisotropic inclusions and cracks.
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