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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Grahic Jump Location
Spherical coordinate system for evaluating the ω integral
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Contour in the complex plane used to compute the ρ integration
Grahic Jump Location
Temperature distribution in the functionally graded material (FGM) unit cube along the edge [x=1,y=1]
Grahic Jump Location
Geometry of the functionally graded rotor
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Thermal boundary conditions on the rotor
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Thermal conductivity profiles for the computational models of the rotor
Grahic Jump Location
Surface mesh employed on the functionally graded rotor
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Temperature distribution around the hole on the z=0.01 surface
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Radial heat flux along the inside corner
Grahic Jump Location
Computed interior temperature values in the graded rotor




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