Thermoelastic Constitutive Equations for Chemically Hardening Materials

[+] Author and Article Information
Bernard W. Shaffer

Department of Mechanical Engineering, Polytechnic Institute of New York, Brooklyn, N. Y.

Myron Levitsky

Department of Mechanical Engineering, College of the City of New York, New York, N. Y.

J. Appl. Mech 41(3), 652-657 (Sep 01, 1974) (6 pages) doi:10.1115/1.3423365 History: Received March 01, 1972; Revised April 01, 1973; Online July 12, 2010


Thermoelastic constitutive equations are derived for a material undergoing solidification or hardening as the result of a chemical reaction. The derivation is based upon a two component model whose composition is determined by the degree of hardening, and makes use of strain-energy considerations. Constitutive equations take the form of stress rate-strain rate relations, in which the coefficients are time-dependent functions of the composition. Specific results are developed for the case of a material of constant bulk modulus which undergoes a transition from an initial liquidlike state into an isotropic elastic solid. Potential applications are discussed.

Copyright © 1974 by ASME
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