ON TRANSIENT THERMAL STRESSES IN VISCOELASTIC MATERIALS WITH TEMPERATURE-DEPENDENT PROPERTIES
BROWN UNIV PROVIDENCE RI
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This paper deals with the quasi-static analysis of transient thermal stresses in the linear theory of homogeneous and isotropic viscoelastic solids with temperature-dependent physical characteristics. The underlying constitutive law rests on the temperature-time equivalence hypothesis according to which a uniform temperature change affects the viscoelastic response of the material through a corresponding uniform shift of the logarithmic time scale. If the temperature varies with time, the preceding hypothesis implies a dependence of the instantaneous stresses upon the entire temperature history. Following an exposition of the theoretical background, exact solutions are deduced to two specific problems. The first concerns the transient thermal stresses in a slab of infinite extent, generated by a temperature field that depends arbitrarily. Author-PL.