On the Boundary Value Problem of a Finite Isotropic Wedge Under Anti Plane Deformation

A boundary value problem for a finite isotropic wedge under anti plane deformation has been solved. Depending on the boundary data on the radial edges, two cases are considered. The boundary data are: traction free-fixed displacement and traction-fixed displacement. The solution is accessed using the finite Mellin transform to obtain a full field solution for the stresses and displacements in the configuration through which the order of singularities due to the geometry are obtained for the cases considered.