Abstract
The integral equations of antiplane shear deformation of anisotropic solids with periodic sets of thin ribbonlike inclusions are constructed. A modified boundary-element method is used to obtain the numerical solutions of specific problems. We compute the stress intensity factors for anisotropic bodies with one, two, or three columns of parallel defects. The comparison with the analytic solutions confirms the validity of the obtained results for cracks and absolutely rigid inclusions. We also study the effect of changes in the degree of anisotropy (orthotropy) of the material on the stress-strain state of the body and on the stress intensity factors in the vicinity of the tips of thin inhomogeneities.
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