الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
The thermo-elasticity theory deals with the effect on an elastic body due to mechanical and thermal disturbances. Duhamel was the first person to consider elastic heat change problems in the nineteenth century. In 1855 the equations obtained by Duhamel were re-derived by Neumann. The uncoupled theory of thermoelasticity that devolved by both Duhamel and Neumann consists of two equations. The first one is the equation of heat, which is defected by its independency on the mechanical effects. The second one is the motion equation that comprises a known function of temperature. This theory has two flaws. Firstly, there is no effect of the mechanical state of the elastic body on the temperature, which does not correlate with actual physical experimental results. Secondly, the parabolic heat equation predicts that the temperature propagates at an infinite speed, which again opposes physical observations.In the year 1956, the coupled thermoelasticity theory of M. A. Biot was formed. In this theory, elasticity and heat conduction equations are coupled, which matches up with physical experiments as any temperature change gives a certain amount of strain in an elastic body and conversely.