Abstract
By using the Mellin transform technique in conjunction with the image method, the two-dimensional full-field solutions of dissimilar isotropic composite annular wedges subjected to anti-plane concentrated forces and screw dislocations are presented in explicit forms. The composite wedges consist of two materials that have equal apex angle and are bonded together along an interface. The explicit full-field solutions are presented in series forms for combinations of traction and displacement boundary conditions. For the special case of composite sharp wedges with finite radius or infinite extent, the solutions with functional forms are obtained and only consist of simple trigonometric functions. Explicit solutions of the stress intensity factors are obtained for a semi-infinite interface crack and a circular composite disk with an interface crack. With the aid of the Peach–Koehler equation, the explicit forms of the image forces exerted on screw dislocations are easily derived from the full-field solutions of stresses. Numerical results of full-field stress distributions and image forces exerted on screw dislocations are presented and discussed in detail.
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