Analyses of the Singular Stress Field Around a 3D Jointed Corner of Dissimilar Anisotropic Materials under Thermal Stress

Abstract

In our previous study, we proposed a new technique to analyze the asymptotic solution of the singular stress field around a three-dimensional interfacial corners under mechanical stress. We analyzed the scalar parameters of the asymptotic solutions using the H-integral, which is a conservation integral, in conjunction with the finite element analysis. In this study, we extended the previous study to the three-dimensional interfacial corners under thermal stress. Thermal stress is the main cause of the fracture from an interfacial corner between dissimilar materials. We also normalized the scalar parameters that is compatible with the scalar parameters obtained by two-dimensional H-integral using the Stroh formalism. We demonstrate that the obtained eigen vectors and scalar parameters are correspond with that obtained by the two-dimensional method. We have also shown an example of perfect three-dimensional corners under thermal stress. Obtained asymptotic solution reasonably approximated the stress field around the corner.