Effects of interface elasticity and residual tension on the thermal stress distribution around an inclusion of general shape in a thermoelastic matrix

In the context of linear thermoelasticity theories, we study the plane deformation of an arbitrarily shaped nano-inclusion embedded in an infinite isotropic matrix under uniform remote in-plane heat flux. The nanoscale thermoelastic effects are modeled using the theories of interface heat conduction, interface thermoelasticity and interface tension. An efficient series-based algorithm is developed to determine the full thermoelastic field in the entire composite system. Numerical examples are presented to validate the feasibility of the present solution and to explore how the interface stretching stiffness and the interface residual tension influence the thermal stress distribution around the vertices of the inclusion for some common inclusion shapes including ellipse, triangle, square, pentagon and hexagon.