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Research Papers: Design and Analysis

# An Exact Solution for Classic Coupled Thermoelasticity in Cylindrical Coordinates

[+] Author and Article Information
M. Jabbari

H. Dehbani

Postgraduate School, Sama Technical and Vocational Training School, Islamic Azad University, Varamin Branch, Varamin, Iran

M. R. Eslami

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

J. Pressure Vessel Technol 133(5), 051204 (Jul 14, 2011) (10 pages) doi:10.1115/1.4003459 History: Received February 20, 2010; Revised January 03, 2011; Published July 14, 2011; Online July 14, 2011

## Abstract

In this paper, the classic coupled thermoelasticity model of hollow and solid cylinders 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.

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## Figures

Figure 1

Nondimensional displacement distribution due to input T(1,t)=10−3T∘δ(t) at nondimensional time t̂=0.4

Figure 2

Nondimensional temperature distribution due to input T(1,t)=10−3T∘δ(t) at nondimensional time t̂=0.4

Figure 3

Nondimensional displacement distribution due to input u(1,t)=10−12u∘δ(t) at nondimensional time t̂=0.4

Figure 4

Nondimensional temperature distribution due to input u(1,t)=10−12u∘δ(t) at nondimensional time t̂=0.4

Figure 5

Nondimensional temperature distribution due to input T(1,t)=T∘ sin t̂ at nondimensional time t̂=0.3

Figure 6

Nondimensional temperature distribution due to input T(1,t)=T∘ sin t̂ at nondimensional time t̂=0.6

Figure 7

Nondimensional displacement distribution due to input T(1,t)=T∘ sin t̂ at nondimensional time t̂=0.3

Figure 8

Nondimensional displacement distribution due to input T(1,t)=T∘ sin t̂ at nondimensional time t̂=0.6

## Errata

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