Three-dimensional asymptotic stress field at the front of a bimaterial wedge of symmetric geometry under antiplane shear loading

Abstract Three-dimensional asymptotic stress field in the vicinity of the front of a bimaterial wedge is obtained by a new eigenfunction expansion method, subjected to three combinations of wedge-side boundary conditions – free–free, clamped–clamped and free–clamped. The bimaterial wedge has symmetric geometrical configuration with respect to the bimaterial interface. Each material is isotropic and elastic, but with different elastic properties. Additionally, numerical results pertaining to the variation of the lowest eigenvalues (or stress singularities) with respect to the half-aperture angle of the bimaterial wedge, subjected to the afore-mentioned wedge-side boundary conditions, are also presented. Dependence of the same on the material properties of the component material phases (if any) is also presented.