Thermal stresses in bilayer systems with weak interface

Analysis of thermal stresses induced by temperature variation in bilayer systems with weak interface is presented. The equation governing the curvature of the centroidal axis is very simple and can be easily solved. It is found that the thermal stresses in the bilayer system and the curvature of the centroidal axis are all dependent on the longitudinal coordinate, due to the presence of weak interface. A modified Stoney's formula is obtained for bilayer systems with weak interface, which degenerates to the classic form when the interface stiffness tends to infinity.