On Transient Thermal Stresses in Viscoelastic Materials With Temperature-Dependent Properties

[+] Author and Article Information
Rokuro Muki, Eli Sternberg

Division of Applied Mathematics, Brown University, Providence, R. I.

J. Appl. Mech 28(2), 193-207 (Jun 01, 1961) (15 pages) doi:10.1115/1.3641651 History: Received July 06, 1960; Online September 16, 2011


This paper deals with the quasi-static analysis of transient thermal stresses in the linear theory of viscoelastic solids with temperature-dependent properties. The underlying constitutive law rests on the temperature-time equivalence hypothesis. Following an exposition of the theoretical framework exact solutions to two specific problems are deduced: The first concerns the thermal stresses in a slab of infinite extent, generated by a temperature field that depends arbitrarily on the thickness co-ordinate and time; the second application concerns the stresses produced in a sphere by an arbitrary time-dependent radially symmetric temperature distribution. The numerical illustrations of the results obtained include a quantitative study based on actual test data for a polymethyl methacrylate.

Copyright © 1961 by ASME
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