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Research Papers: Design and Analysis

One-Dimensional Moving Heat Source in a Hollow FGM Cylinder

[+] Author and Article Information
M. Jabbari

South Tehran Branch, Islamic Azad University, Tehran, Iranmohsen.jabbari@gmail.com

A. H. Mohazzab

South Tehran Branch, Islamic Azad University, Tehran, Iranaẖmohazzab@yahoo.com

A. Bahtui

School of Engineering and Design, Brunel University, London, UKali.bahtui@brunel.ac.uk

J. Pressure Vessel Technol 131(2), 021202 (Dec 09, 2008) (7 pages) doi:10.1115/1.3006953 History: Received March 14, 2007; Revised January 21, 2008; Published December 09, 2008

This paper presents the analytical solution of one-dimensional mechanical and thermal stresses for a hollow cylinder made of functionally graded material. The material properties vary continuously across the thickness, according to the power functions of radial direction. Temperature distribution is symmetric and transient. The thermal boundary conditions may include conduction, flux, and convection for inside or outside of a hollow cylinder. The thermoelasticity equation is transient, including the moving heat source. The heat conduction and Navier equations are solved analytically, using the generalized Bessel function. A direct method of solution of Navier equation is presented.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Transient temperature distribution (example 1)

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Figure 2

Temperature distribution in the radial direction (example 1)

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Figure 3

Thermal hoop stress times 109 (example 1)

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Figure 4

Thermal radial stress in the radial direction times 108 (example 1)

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Figure 5

Thermal hoop stress in the radial direction times 108 (example 1)

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Figure 6

Radial displacement due to mechanical load along the thickness with various power-law indices (example 2)

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Figure 7

Mechanical hoop stress distribution along the thickness with various power-law indices (example 2)

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Figure 8

Mechanical effective stress distribution along the thickness with various power-law indices (example 2)

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