Analysis of an isotropic finite wedge under antiplane deformation

The antiplane deformation of an isotropic wedge with finite radius is studied in this paper. Depending upon the boundary data prescribed on the circular segment of the wedge, traction or displacement, two problems are analysed. In each problem three different cases of boundary conditions on the radial edges are considered. The radial boundary data are : traction-displacement, displacement-displacement and traction-traction. The solution of governing differential equations is accomplished by means of finite Mellin transforms. The closed form solutions are obtained for displacement and stress fields in the entire domain. The geometric singularities of stress fields are identical to those cited in the literature. However, in displacement-displacement case under certain representation of boundary condition, another type of singularity has been observed. Copyright 0 1996 Elsevier Science Ltd