Finite Thermoelastic Deformation of Sphere With Temperature-Dependent Properties

[+] Author and Article Information
N. Kamiya

Department of Mechanical Engineering, Mie University, Kamihamacho, Tsu 514, Japan

J. Appl. Mech 47(2), 319-323 (Jun 01, 1980) (5 pages) doi:10.1115/1.3153662 History: Received September 01, 1978; Revised December 01, 1979; Online July 21, 2009


The present paper concerns a finite thermoelastostatic analysis considering temperature-dependent mechanical and thermal properties of material. The Lamé elastic parameters, thermal expansion coefficient, and thermal conductivity are expressed by linear functions of temperature. Higher-order terms in terms of temperature and strain invariants are introduced into the free energy expression. Lagrange formulation is employed for derivation of the governing field equations. A hollow sphere under a spherically symmetric stationary thermal field is analyzed numerically. The influence of the temperature-dependent variations of the material properties on stress state is investigated and found to be insignificant over a narrow temperature range where the material remains elastic.

Copyright © 1980 by ASME
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