Green’s Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction-Reference-Cited by-同舟云学术

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

Published:2003-07-01 Issue:4 Volume:70 Page:543-549
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Gray L. J.¹,Kaplan T.¹,Richardson J. D.²,Paulino G. H.³

Affiliation:

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

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

3. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801

Abstract

Free space Green’s functions are derived for graded materials in which the thermal conductivity varies exponentially in one coordinate. Closed-form expressions are obtained for the steady-state diffusion equation, in two and three dimensions. The corresponding boundary integral equation formulations for these problems are derived, and the three-dimensional case is solved numerically using a Galerkin approximation. The results of test calculations are in excellent agreement with exact solutions and finite element simulations.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/70/4/543/5469883/543_1.pdf

Reference30 articles.

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