Abstract
In this work, the generalized thermoelastic theory due to Lord-Shulman is used to solve 2D problem for a long circular cylinder formed of a realistic material. The thermal conductivity (TC) of the considered material is variable. The traction is zero on the lateral surface of the cylinder which is subjected to the boundary condition that varies peripherally. Laplace transform is used. The inverse of the Laplace transforms is obtained numerically. The temperature, displacement and stresses distributions were shown graphically. Comparison is made between the cases of variable and constant thermal conductivity. The effect of variability of the TC on the behavior of the stress is somewhat big but is small on the displacement and temperature.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Disclosure statement
No potential conflict of interest was reported by the author(s).