The simple boundary element method for transient heat conduction in functionally graded materials

Alok Sutradhar, Glaucio H. Paulino

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179 Scopus citations

Abstract

This paper presents a "simple" boundary element method for transient heat conduction in functionally graded materials, which leads to a boundary-only formulation without any domain discretization. For a broad range of functional material variation (quadratic, exponential and trigonometric) of thermal conductivity and specific heat, the non-homogeneous problem can be transformed into the standard homogeneous diffusion problem. A three-dimensional boundary element implementation, using the Laplace transform approach and the Galerkin approximation, is presented. The time dependence is restored by numerically inverting the Laplace transform by means of the Stehfest algorithm. A number of numerical examples demonstrate the efficiency of the method. The results of the test examples are in excellent agreement with analytical solutions and finite element simulation results.

Original languageEnglish (US)
Pages (from-to)4511-4539
Number of pages29
JournalComputer Methods in Applied Mechanics and Engineering
Volume193
Issue number42-44
DOIs
StatePublished - Oct 22 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications

Keywords

  • Boundary element method
  • Functionally graded materials
  • Galerkin
  • Green's function
  • Non-homogeneous materials
  • Three-dimensional analysis
  • Transient heat conduction

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