Analysis of the stress-focusing effect in a solid cylinder subjected to instantaneous heating based on the generalized thermoelasticity

This article investigates the stress-focusing effect in an infinitely long cylinder on the basis of the Lord-Shulman (L-S) theory and the Green-Lindsa y (G-L) theory, which are referred to as the generalized thermoelasticity t heories. The combined forms of the governing equations of both theories are used. The solution for the symmetrical and instantaneous heating is derive d in the Laplace transform domain. Then, using the numerical inversion of t he Laplace transform, the temperature and the thermal stress fields in the cylinder and obtained. The numerical results of the thermal stress wave bas ed on the L-S theory are discussed. It is shown that the stress-focusing ef fect occurs and the order of the stress singularity is 1/rho (2). The effec ts of the thermomechanical coupling and the relaxation time on the stress-f ocusing phenomena are examined.