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contributor authorL. J. Gray
contributor authorJ. D. Richardson
contributor authorG. H. Paulino
contributor authorT. Kaplan
date accessioned2017-05-09T00:09:19Z
date available2017-05-09T00:09:19Z
date copyrightJuly, 2003
date issued2003
identifier issn0021-8936
identifier otherJAMCAV-26561#543_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/127844
description abstractFree 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.
publisherThe American Society of Mechanical Engineers (ASME)
titleGreen’s Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction
typeJournal Paper
journal volume70
journal issue4
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.1485753
journal fristpage543
journal lastpage549
identifier eissn1528-9036
keywordsHeat conduction
keywordsFunctions
keywordsIntegral equations
keywordsEquations
keywordsApproximation
keywordsThermal conductivity
keywordsFunctionally graded materials
keywordsDimensions AND Steady state
treeJournal of Applied Mechanics:;2003:;volume( 070 ):;issue: 004
contenttypeFulltext


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