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

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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)543-549
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Volume70
Issue number4
DOIs
StatePublished - Jul 1 2003

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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