This paper is concerned in semi-infinite interface crack of orthotropic and isotropic bi-materials and using the composite material fracture complex function method. By means of constructing special stress functions with two real singularity index and solving the problem of a class of generalized bi-harmonic equations, the stress and displacement fields of two dissimilar materials are obtained. Results demonstrate that the stress and displacement fields near the crack tip show mixed crack characteristics without oscillation.
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