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Abstract Therooelusticity is the study or the heat errects on displac~ents and stresses in an elastic body. DUhamel in the 19th ccnt ur-y was the f’irst to deal with problems with heat charige s , H@ was then f’ollowed by Ne\~an who derl ved the same set of’ equations obtained by Duhamel using n dif’fercnt approach. During the last t~o or three decades active and syster.:atic research has been done leading to a theory that is now complete • Exact solution of’ 9roblems generathermoelasticity are t ~o obtD.~n UW.l.ng to ’tHe; Hon-:i...i.Hear 1nheren’t this phenomena. Ilowev e r-, the basic e qua t Lona in this theory are drastically sinplif’ieu when the t~nperature changes anu the def’0rr.13tions ar-c snaIl. The resulting es.uations constitute wha t is now known as the linearisec.1 theory of’ elastici ty |