AN EIGENFUNCTION APPROACH TO SINGULAR THERMAL STRESSES IN BONDED STRIPS

Solutions for thermal stress singularities infinite bonded strips are sought by using an eigenfunction expansion in the neighborhood of the singularity. The coefficients in the resulting series are determined by satisfying the boundary conditions on surfaces far removed from the singularity either pointwise or in an integrated sense. The latter of these techniques is found to be more reliable. The accuracy of the solution is checked by comparing it to a semianalytical solution for thermal stresses in bonded quarter planes, which is derived by using the Mellin transformation. It is shown that the eigenfunction approach provides accurate solutions for the leading term in the series, thus capturing the essence of the thermal stress fields near the edge of the interface. The far-field solutions, however, are found to feature excessive inaccuracies, which are attributed to numerical errors