Analytical solution for bonded wedges under thermal stresses

After a change in temperature, high stresses leading to destruction may occ ur in bonded dissimilar materials near the point of the interface line inte rsection with the edge. In terms of linear elasticity, these high stresses are described by the singular terms of the stress field expansion at the co rner point. In the present paper, the explicit representation of the singul ar terms and exact values of the stress intensity factors in the case of in finite wedge-shaped joint geometry are obtained by the Mellin transform tec hnique. Systematic comparison with the FEM results for samples of finite si ze has shown that the values of stress intensity factors are in good agreem ent if the singularity is not too strong (the singularity orders omega (k)< 0.2). With the stronger singularity, the analytical solution is in qualitat ive agreement with the FEM one, such that it can be used for fast parametri cal study of finite samples as well.