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TECHNICAL BRIEFS

Galerkin Finite Element Displacement Formulation of Coupled Thermoelasticity Spherical Problems

[+] Author and Article Information
M. Eslami

Mechanical Engineering Department, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

H. Vahedi

J. Pressure Vessel Technol 114(3), 380-384 (Aug 01, 1992) (5 pages) doi:10.1115/1.2929057 History: Received January 29, 1991; Revised December 03, 1991; Online June 17, 2008

Abstract

When the time rate of change of the thermomechanical forces in a continuum is high enough to produce stress wave, the solution must be sought through the simultaneous consideration of the first law of thermodynamics and the equations of thermoelasticity. The general finite element formulation of coupled thermoelasticity along with a general discussion for inclusion of mechanical and thermal boundary conditions is presented. The case is then considered for a spherical symmetry and the governing coupled thermoelastic equations are reduced for a thick sphere. Based on the Galerkin method, a Kantrovich approximation is applied to the displacement and temperature field and the finite element formulation of the problem is obtained.

Copyright © 1992 by The American Society of Mechanical Engineers
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