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

    Source: Journal of Applied Mechanics:;2018:;volume( 070 ):;issue: 004::page 543
    Author:
    Gray, L. J.
    ,
    Kaplan, T.
    ,
    Richardson, J. D.
    ,
    Paulino, G. H.
    DOI: 10.1115/1.1485753
    Publisher: The American Society of Mechanical Engineers (ASME)
    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.
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      Green’s Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4250910
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    contributor authorGray, L. J.
    contributor authorKaplan, T.
    contributor authorRichardson, J. D.
    contributor authorPaulino, G. H.
    date accessioned2019-02-28T10:55:53Z
    date available2019-02-28T10:55:53Z
    date copyright8/25/2003 12:00:00 AM
    date issued2018
    identifier issn0021-8936
    identifier other543_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4250910
    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
    treeJournal of Applied Mechanics:;2018:;volume( 070 ):;issue: 004
    contenttypeFulltext
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