Journal
JOURNAL OF THERMAL STRESSES
Volume 33, Issue 7, Pages 674-693Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01495731003776069
Keywords
Concentrated loads; Continuous dependence theorem; Micropolar elasticity; Reciprocity theorem; Two-temperature thermoelasticity; Uniqueness theorem; Variational principle
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In the present work, some essential theorems on the linear coupled theory of micropolar thermoelasticity with two temperatures are established. The uniqueness theorem is proved in two distinct approaches without the positive definiteness assumptions on the thermoelastic modulus. The reciprocity theorem is established by the aid of an integral identity that involves two admissible processes at two different instants. The continuous dependence results on the external data are studied. The variational principle of Gurtin type is established. Finally, we solve the problems of concentrated heat source and body force to study the effect of two-temperature influence on the relevant variables.
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