INTERFACIAL CIRCULAR CRACK IN CYLINDRICALLY ANISOTROPIC COMPOSITES UNDER ANTIPLANE SHEAR

The paper investigates the antiplane shear problem of a dissimilar int erfacial circular crack in cylindrically anisotropic composites. Using the theory of analytical functions, a general solution based on a com plex variable displacement function is obtained, which is similar to L ekhnitskii's stress potentials for rectilinearly anisotropic material. For some cases, the circular crack problems are reduced to Hilbert pr oblems which are solved in a closed form. The first three-term asympto tic expansions of the near crack-tip stress field are given to identif y the role of the curvature effect. The asymptotic solutions are furth er compared with exact solutions. These solutions show that the leadin g term exhibits an inverse square root stress singularity regardless o f the material properties. In order to compare the stress held near th e crack tip for a curved crack with that of a planar crack, a solution for a rectilinearly anisotropic body with a centered straight interfa cial crack is also presented.