Thermal shock behaviour on generalized thermoelastic semi-infinite medium with moving heat source under Green Naghdi-III model

Abstract

The present article deals with the thermal shock response in an isotropic thermoelastic medium with a moving heat source. In this context Green and Naghdi type III model of generalized thermoelasticity theory is considered. The basic equations are expressed as vector-matrix differential equation form. The considered formulation is applied to a semi-infinite solid space. The analytical formulations of the problem in the Laplace transform domain have been solved by eigenvalue approach technique. The inversion of Laplace transform is completed by Zakian method. The variation of the temperature, displacement and stress distributions for different values of time and heat source velocity are shown graphically for two different cases. In the first case, a thermal shock free surface is considered subjected to traction and in the second case the surface is under the influence of time dependent thermal shock. Finally, some comparisons of the results for different time and moving heat source velocity are presented. In presence of moving heat source all the thermophysical quantities have a great significant effect in all the distributions.

Photo-thermoelastic behavior of a functionally graded? Semiconductor medium excited by thermal laser pulses

“…Furthermore, increasing the FGM distribution function ( ) f x , or equivalently decreasing the value of parameter n, leads to increase the temperature distribution. This insightful observation is consistent with the results of Singh and Sarkar [48]. Figure 2 depicts how the nondimensional temperature rises by increasing the distance x to reach its maximum value at x 0.5 = and thereafter smoothly diminishes to zero [49].…”