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Research Papers: Design and Analysis

An Exact Solution for Classic Coupled Thermoelasticity in Spherical Coordinates

[+] Author and Article Information
M. Jabbari

Postgraduate School, South Tehran Branch, Islamic Azad University, Tehran, Iranm_jabbari@azad.ac.ir

H. Dehbani

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

M. R. Eslami

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

J. Pressure Vessel Technol 132(3), 031201 (May 04, 2010) (11 pages) doi:10.1115/1.4001198 History: Received May 18, 2009; Revised January 20, 2010; Published May 04, 2010; Online May 04, 2010

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.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Displacement distribution due to input T(1,t)=10−3δ(t) at 7×10−5 s

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Figure 2

Temperature distribution due to input T(1,t)=10−3δ(t) at 7×10−5 s

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Figure 3

Displacement distribution due to input u(1,t)=10−12δ(t) at 7×10−5 s

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Figure 4

Temperature distribution due to input u(1,t)=10−12δ(t) at 7×10−5 s

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Figure 5

Temperature distribution at different values of the time

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Figure 6

Displacement distribution at different values of the time

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