Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories

The exact three-dimensional solutions of the temperature, displacements and stresses of thermal shock plate problem are presented. The bottom surface of the plate is thermally isolated while the upper one is subjected to a thermal shock. A unified generalized thermoelasticity theory for the transient thermal shock plate problem in the context of Green and Lindsay, Lord and Shulman, and coupled thermoelasticity theories is presented. The variations along the longitudinal and thickness directions of all fields are investigated. Some comparisons have been shown graphically to estimate the effects of different parameters on all the studied fields. The analytical general solution is applied to the present plate using the normal mode analysis. A comparison between different theories is presented and suitable conclusions are made.