Three-dimensional thermal-stress analysis of transversely isotropic double-layer plate based on Green's function

Abstract

Using the potential theory and the mirror-image method, the three-dimensional (3D) Green's function solutions for a double-layer transversely isotropic thermoelastic plate with varying thickness were obtained for the first time. The exact 3D explicit closed analytical forms of the temperature and thermal-stress fields were expressed by simple functions. These forms can be used to accurately calculate the full-field distribution under heat source, which is suitable for plates with a wide range for thickness—particularly for ultrathin coating plates. Results for numerical examples indicated that the coating thermal parameters, coating stiffness, and coating thickness ratio significantly affect the temperature increment and stress field. The influence rules of key parameters obtained in this study can guide the design of double-layer plates in thermal environments.