Compatibility of singular stress fields around a three-dimensional corner between dissimilar anisotropic materials and around a two-dimensional corner between dissimilar anisotropic materials

Abstract

We verified the compatibility of the singular stress fields around an interfacical corner obtained by the three-dimensional finite element analysis and that obtained by the two dimensional quasi-analytical method. We proposed normalization method that the eigen vectors obtained by the three dimensional finite element method correspond with the eigen vectors obtained by the Stroh formalism. Obtained scalar parameters by the three dimensional finite element method are compatible with the two-dimensional corners and cracks. We proposed universal definition of fracture parameters for three dimensional corners, two dimensional corners and cracks.