The hybrid boundary element method applied to functionally graded materials

N. A. Dumont, R. A.P. Chaves, G. H. Paulino

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


The hybrid boundary element method has been successfully applied to various problems of elasticity and potential theory. This paper focuses on establishing the conceptual framework for applying the hybrid boundary element method to functionally graded materials. Several classes of fundamental solutions for problems of potential are derived. In particular, a recently developed fundamental solution is employed to model heat conduction in materials with exponentially varying thermal conductivity. Thus, the boundary-only feature of the method is preserved even with such spatially varying material property. Two numerical examples are given in terms of a patch test for irregular regions submitted to high gradients.

Original languageEnglish (US)
Pages (from-to)267-276
Number of pages10
JournalInternational Series on Advances in Boundary Elements
StatePublished - 2002
Externally publishedYes
EventTwenty-Fourth International Conference on the Boundary Element Method Incorporating Meshless Solution Seminar, BEM XXIV - Sintra, Portugal
Duration: Jun 17 2002Jun 19 2002

All Science Journal Classification (ASJC) codes

  • General Engineering


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