Abstract
A quasi-static analysis of an anti-plane strain crack in a radially inhomogeneous viscoelastic material is carried out. Laplace and Mellin transform methods are used to construct explicit expressions for the stress and displacement fields. Results show that the stress field may exhibit both logarithmic and power-law type singularities and for special cases of material inhomogeneity the asymptotic behavior at the crack tip is determined by a logarithmic singularity. The effects of time and material inhomogeneity upon the stresses and displacements are numerically illustrated.
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