In this work, a new model of thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional order, and its uniqueness theorem has been approved also. One-dimensional application for a half-space of elastic material, which is thermally shocked, has been solved by using Laplace transform and state-space techniques. According to the numerical results and its graphs, conclusion about the new theory of thermoelasticity has been constructed.

Issue Section:
Conduction
Keywords:
heat conduction, Laplace transforms, state-space methods, thermoelasticity
Topics:
Heat conduction, Laplace transforms, Theorems (Mathematics), Thermoelasticity
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