A Simple Boundary Element Method Procedure to Solve the Diffraction of SH Waves in a Stratified Soil

1987 ◽  
pp. 395-407
Author(s):  
F. Bettinali ◽  
R. Rangogni
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Sh Waves ◽  
Simple Boundary ◽  
Element Method

A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic Problems

2001 ◽  
Vol 69 (2) ◽  
pp. 154-160 ◽  
Author(s):  
X.-W. Gao
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Initial Stresses ◽  
Boundary Integrals ◽  
Transformation Technique ◽  
Weakly Singular ◽  
Simple Boundary ◽  
Singular Domain ◽  
Element Method

In this paper, a new and simple boundary element method without internal cells is presented for the analysis of elastoplastic problems, based on an effective transformation technique from domain integrals to boundary integrals. The strong singularities appearing in internal stress integral equations are removed by transforming the domain integrals to the boundary. Other weakly singular domain integrals are transformed to the boundary by approximating the initial stresses with radial basis functions combined with polynomials in global coordinates. Three numerical examples are presented to demonstrate the validity and effectiveness of the proposed method.

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

2005 ◽  
Vol 492-493 ◽  
pp. 367-372
Author(s):  
Glaucio H. Paulino ◽  
Alok Sutradhar
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Functionally Graded Materials ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Graded Materials ◽  
Simple Boundary ◽  
Crack Problems ◽  
Galerkin Boundary Element Method ◽  
Element Method

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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