Generalized thermoelastic analysis of stress-focusing effect in a solid cylinder under rotationally asymmetrical instantaneous thermal loading

摘要

This paper investigates the stress-focusing effect in an infinitely long cylinder under Rotationally asymmetrical instantaneous thermal loading on the basis of the generalized Thermoelastic Lord-Shulman (L-S) and Green-Lindsay (G-L) theories. Combined forms of the Governing equations of both theories are given in a cylindrical coordinate system. The two- Dimensional generalized thermoelastic problems are solved by numerical inversion of Laplace Transform. Calculations have been performed to find distributions of thermal stresses on the Basis of the L-S theory. Stress-focusing phenomena under different heating conditions are Presented. The effects of thermomechanical coupling and relaxation time on the stress-focusing Phenomena as well as the singularity of stresses are discussed.