STRESS SINGULARITY AT THE TIP OF A RIGID LINE INHOMOGENEITY UNDER ANTIPLANE SHEAR LOADING

It has been shown that under an inplane tensile loading, a plane elastic body containing a rigid line inhomogeneity would generate a square-root stress singularity at the tip of the line segment. In this work the authors investigate a similar inhomogeneity system in which the applied stress is an antiplane shear. This system is analyzed by two different methods: the complex variable method of Muskhelishvili and the equivalent inclusion method of Eshelby. The present analysis, together with the analysis reported earlier for the inplane elastic system (Wang et al. , 1985), thus provides a complete descripton for the rigid line inhomogeneity problem in plane elasticity.