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

Alok Sutradhar, Glaucio H. Paulino

Research output: Contribution to journalArticle


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
Issue number42-44
StatePublished - Oct 22 2004



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

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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