THE 3-DIMENSIONAL FOURIER-SERIES METHOD FOR THE CALCULATION OF STRESSAND STRAIN - APPLICATION TO STRAINED-LAYER STRUCTURES

The theory of the Fourier series method for calculating stresses and s trains in a rectangular prism of homogeneous, isotropic material is pr esented. Boundary conditions consists of normal stresses at the surfac es, with the shear stress at all surfaces assumed to be zero. The theo ry is applied to the case of a single isolated strained layer. The str ess relaxation, strain relaxation, and displacements are calculated in the region where the strained layer meets the free surface. It is con firmed that the component of the stress relaxation normal to the surfa ce decays as 1/r within the strained layer, where r is the distance fr om the free surface.