A review of SIF evaluation and modelling of singularities in BEM

NK Mukhopadhyay, SK Maiti, A Kakodkar - Computational mechanics, 2000 - Springer
Various boundary element method (BEM) based approaches to solve crack problems are
discussed. The displacement method, J-integral method and the modified crack closure …

BIE fracture mechanics analysis: 25 years of developments

TA Cruse - Computational Mechanics, 1996 - Springer
The past twenty five years have shown in many ways that the BIE formulation and its BEM
implementation provide important contributions in two and three dimensional fracture …

An efficient dual boundary element technique for a two‐dimensional fracture problem with multiple cracks

WH Chen, TC Chen - International Journal for Numerical …, 1995 - Wiley Online Library
An efficient dual boundary element technique for the analysis of a two‐dimensional finite
body with multiple cracks is established. In addition to the displacement integral equation …

A new boundary integral formulation for plane elastic bodies containing cracks and holes

KT Chau, YB Wang - International Journal of Solids and Structures, 1999 - Elsevier
This paper presents a new boundary integral formulation for a plane elastic body containing
an arbitrary number of cracks and holes. The body is assumed to be linear elastic and …

A special boundary element for the problems of multi-holes, cracks and inclusions

C Hwu, CY Liao - Computers & structures, 1994 - Elsevier
By combining the fundamental solutions, the method of boundary element and the technique
of subregion, the problems of multi-holes, cracks and inclusions are solved efficiently and …

Boundary element formulation with special kernels for an anisotropic plate containing an elliptical hole or a crack

M Kamel, BM Liaw - Engineering fracture mechanics, 1991 - Elsevier
Complex variable method is used to obtain the fundamental solutions, which are expressed
in terms of the complex potentials, for an infinite anisotropic plate containing an elliptical …

[HTML][HTML] Meshless simulation of anti-plane crack problems by the method of fundamental solutions using the crack Green's function

J Ma, W Chen, C Zhang, J Lin - Computers & Mathematics with Applications, 2020 - Elsevier
In this paper, we present a meshless method of fundamental solutions using the analytical
crack Green's function to solve anti-plane crack problems. The proposed scheme is a …

Analysis of multi-crack problems by the spline fictitious boundary element method based on Erdogan fundamental solutions

Z Xu, C Su, Z Guan - Acta Mechanica, 2018 - Springer
The Erdogan fundamental solutions are derived from an infinite plane containing a crack.
When they are used in the formulation of the boundary element method (BEM), the stress …

Interaction between cracks and rigid-line inclusions by an integral equation approach

CY Dong, SH Lo, YK Cheung - Computational mechanics, 2003 - Springer
An integral equation approach is presented to investigate the interaction between cracks
and rigid-line inclusions embedded in an infinite isotropic elastic matrix subject to remote …

A numerical Green's function for multiple cracks in anisotropic bodies

WT Ang, JCF Telles - Journal of Engineering Mathematics, 2004 - Springer
The numerical construction of a Green's function for multiple interacting planar cracks in an
anisotropic elastic space is considered. The numerical Green's function can be used to …