A Simple Galerkin Boundary Element Method for Three-Dimensional Crack Problems in Functionally Graded Materials

Glaucio H. Paulino; Alok Sutradhar

doi:10.4028/www.scientific.net/MSF.492-493.367

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HomeMaterials Science ForumMaterials Science Forum Vols. 492-493A Simple Galerkin Boundary Element Method for...

A Simple Galerkin Boundary Element Method for Three-Dimensional Crack Problems in Functionally Graded Materials

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 eáciency of the method. The result of the test example is in agreement with ßnite element simulation results.

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Materials Science Forum (Volumes 492-493)

Pages:

367-372

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.492-493.367

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Online since:

August 2005

Authors:

Glaucio H. Paulino, Alok Sutradhar

Keywords:

Boundary Element Method (BEM), Crack, Functionally Graded Material (FGM), Galerkin, Nonhomogeneous Materials, Three Dimensional Analysis

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References

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