A simple Galerkin boundary element method for three-dimensional crack problems in functionally graded materials

Glaucio H. Paulino, Alok Sutradhar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper presents a Galerkin boundary element method for solving crack problems governed by potential theory in nonhomogeneous media. In the simple boundary element method, the nonhomogeneous problem is reduced to a homogeneous problem using variable transformation. Cracks in heat conduction problem in functionally graded materials are investigated. The thermal conductivity varies parabolically in one or more coordinates. A three dimensional boundary element implementation using the Galerkin approach is presented. A numerical example demonstrates the efficiency of the method. The result of the test example is in agreement with finite element simulation results.

Original languageEnglish (US)
Title of host publicationFunctionally Graded Materials VIII, FGM2004 - Proceedings of the 8th International Symposium on Multifunctional and Functionally Graded Materials, (FGM2004)
PublisherTrans Tech Publications Ltd
Pages367-372
Number of pages6
ISBN (Print)0878499709, 9780878499700
DOIs
StatePublished - 2005
Event8th International Symposium on Multifunctional and Functionally Graded Materials, FGM2004 - Leuven, Belgium
Duration: Jul 11 2004 → Jul 14 2004

Publication series

NameMaterials Science Forum
Volume492-493
ISSN (Print)0255-5476
ISSN (Electronic)1662-9752

Other

Other8th International Symposium on Multifunctional and Functionally Graded Materials, FGM2004
CountryBelgium
CityLeuven
Period7/11/04 → 7/14/04

Keywords

  • Boundary element method
  • Crack
  • Functionally graded materials
  • Galerkin
  • Nonhomogeneous materials
  • Three dimensional analysis

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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