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We confine our attention to a homogeneous and isotropic body which is bounded by a pair of parallel plane faces x = 0 and x = l, where x is a Cartesian coordinate. We suppose the body to have a uniform stress-free reference state in which the absolute temperature is a positive constant θ0 (independent of x); we call θ0 the reference temperature. We suppose too that there is no external supply of heat to the body, nor any body force, and that the displacement vector, measured from the configuration of the reference state, remains parallel to the x-axis throughout the body and at every time t.
KeywordsHeat Flux Heat Equation Reference Temperature Continuous Derivative Isotropic Body
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