A Simple Galerkin Boundary Element Method for Three-Dimensional Crack Problems in Functionally Graded Materials
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.
Omer Van der Biest, Michael Gasik, Jozef Vleugels
G. H. Paulino and A. Sutradhar, "A Simple Galerkin Boundary Element Method for Three-Dimensional Crack Problems in Functionally Graded Materials ", Materials Science Forum, Vols. 492-493, pp. 367-372, 2005