On stress singularities at plane bi- and tri-material junctions -A way to derive some closed-form analytical solutions

Stress singularities at 2D bi- and tri-material junctions, consisting of dissimilar, homogeneous, isotropic and linear-elastic wedges under a plane strain state are considered. The stresses formed at the vertex of this composite situation are analyzed by the complex variable method, based on an appropriate choice of the Kolosov-potentials which are applicable in the vicinity of the vertex. In doing so, the identification of the singularity exponent is performed. With the help of a novel approach it is demonstrated how to derive some solutions for the orders of the stress singularities at bi- and tri-material combinations in a closed-form analytical manner.