Predicted Thermal Mismatch Stresses in a Cylindrical Bi-material Assembly Adhesively Bonded at Its Ends

A simple analytical stress model, based on the strength-of-materials approach, is developed for the evaluation of thermally induced shearing stresses in a long cylindrical bi-material assembly adhesively bonded at its ends and subjected to the change in temperature. The emphasis is on the interaction of the global thermal mismatch stresses, counted with respect to the mid cross section of the assembly as a whole, and the local stresses, counted with respect to the mid cross sections of the bonded regions. The effect of the coefficient of thermal expansion of the adhesive material itself is also considered. We show also how to evaluate the fundamental frequency of vibrations of the inner cylinder with consideration of the thermally induced tension, if any.