Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method

2002 ◽  
Vol 26 (4) ◽  
pp. 329-339 ◽  
Author(s):  
Hang Ma ◽  
Norio Kamiya
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Numerical Evaluation ◽  
Singular Boundary ◽  
Boundary Integrals ◽  
Distance Transformation ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document