An Exact Solution for Classic Coupled Thermoelasticity in Spherical Coordinates

Author:

Jabbari M.1,Dehbani H.1,Eslami M. R.23

Affiliation:

1. Postgraduate School, South Tehran Branch, Islamic Azad University, Tehran, Iran

2. Fellow ASME

3. Department of Mechanical Engineering, Amirkabir University of Technology, 15914, Tehran, Iran

Abstract

Abstract In this paper, the classic coupled thermoelasticity model of hollow and solid spheres under radial-symmetric loading condition (r,t) is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general forms, where no limiting assumption is used. This generality allows to simulate a variety of applicable problems.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Reference19 articles.

1. Solution of the Coupled Problem of Thermoelasticity in the Form of Series of Functions;Hetnarski;Arch. Mech. Stosow.

2. Generalized Thermoelasticity: Closed-Form Solutions;Hetnarski;J. Therm. Stresses

3. Generalized Thermoelasticity: Response of Semi-Space to a Short Laser Pulse;Hetnarski;J. Therm. Stresses

4. Rayleigh Waves Generated by a Thermal Source: A Three-Dimensional Transient Thermoelasticity Solution;Georgiadis;ASME J. Appl. Mech.

5. Fundamental Matrix of the System of Dynamic Linear Thermoelasticity;Wagner;J. Therm. Stresses

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