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RESEARCH PAPERS

Residual Thermal Stresses in a Solid Sphere Cast From a Thermosetting Material

[+] Author and Article Information
Myron Levitsky

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

Bernard W. Shaffer

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

J. Appl. Mech 42(3), 651-655 (Sep 01, 1975) (5 pages) doi:10.1115/1.3423658 History: Received September 01, 1974; Revised February 01, 1975; Online July 12, 2010

Abstract

Expressions are developed for the residual thermal stresses in a solid sphere cast from a chemically hardening thermosetting material in a rigid spherical mold. The description of the heat generation rate and temperature variation is derived from a first-order chemical reaction. Solidification is described by the continuous transformation of the material from an inviscid liquidlike state into an elastic solid, with intermediate properties determined by the degree of chemical reaction. Residual stress components are obtained as functions of the parameters of the hardening process and the properties of the hardening material. Variation of the residual stresses with a nondimensionalized reaction rate parameter and the relative compressibility of the hardened material is discussed in detail.

Copyright © 1975 by ASME
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