Green’s Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction

[+] Author and Article Information
L. J. Gray, T. Kaplan

Computer Science and Mathematics Division, Oak Ridge National Laboratory, P.O. Box 2008, Building 6012, Oak Ridge, TN 37831-6367

J. D. Richardson

Department of Mechanical Engineering, Tennessee Technological University, P.O. Box 5014, Cookeville, TN 38505

G. H. Paulino

Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801 e-mail: paulino@uiuc.edu

J. Appl. Mech 70(4), 543-549 (Aug 25, 2003) (7 pages) doi:10.1115/1.1485753 History: Received December 14, 2000; Revised October 30, 2001; Online August 25, 2003
Copyright © 2003 by ASME
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Computed interior temperature values in the graded rotor
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Radial heat flux along the inside corner
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Temperature distribution around the hole on the z=0.01 surface
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Surface mesh employed on the functionally graded rotor
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Thermal conductivity profiles for the computational models of the rotor
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Thermal boundary conditions on the rotor
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Geometry of the functionally graded rotor
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Temperature distribution in the functionally graded material (FGM) unit cube along the edge [x=1,y=1]
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Contour in the complex plane used to compute the ρ integration
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Spherical coordinate system for evaluating the ω integral




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