S. Yang et Fg. Yuan, INTERFACIAL CIRCULAR CRACK IN CYLINDRICALLY ANISOTROPIC COMPOSITES UNDER ANTIPLANE SHEAR, International journal of solids and structures, 32(24), 1995, pp. 3603-3628
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.