Null-field integral equations for stress field around circular holes under antiplane shear

JT Chen, WC Shen, AC Wu - Engineering Analysis with Boundary …, 2006 - Elsevier
In this paper, we derive the null-field integral equation for a medium containing circular
cavities with arbitrary radii and positions under uniformly remote shear. To fully capture the …

Null-field approach for the multi-inclusion problem under antiplane shears

JT Chen, AC Wu - 2007 - asmedigitalcollection.asme.org
In this paper, we derive the null-field integral equation for an infinite medium containing
circular holes and/or inclusions with arbitrary radii and positions under the remote antiplane …

[HTML][HTML] Calculation of 2D singular and near singular integrals of boundary elements method based on the complex space C

M Dehghan, H Hosseinzadeh - Applied Mathematical Modelling, 2012 - Elsevier
The solution of Poissons equation is essential in many branches of science and engineering
such as fluid-mechanics, geosciences, and electrostatics. Solution of the two-dimensional …

Boundary methods for Dirichlet problems of Laplace׳ s equation in elliptic domains with elliptic holes

ZC Li, LP Zhang, Y Wei, MG Lee, JY Chiang - Engineering Analysis with …, 2015 - Elsevier
Recently, the null field method (NFM) is proposed by JT Chen with his groups. In NFM, the
fundamental solutions (FS) with the field nodes Q outside of the solution domains are used …

[PDF][PDF] Analysis of circular torsion bar with circular holes using null-field approach

J Chen, W Shen, P Chen - Computer Modeling in Engineering and …, 2006 - Citeseer
In this paper, we derive the null-field integral equation for a circular bar weakened by
circular cavities with arbitrary radii and positions under torque. To fully capture the circular …

Torsional rigidity of a circular bar with multiple circular inclusions using the null-field integral approach

JT Chen, YT Lee - Computational Mechanics, 2009 - Springer
In this article, a systematic approach is proposed to calculate the torsional rigidity and stress
of a circular bar containing multiple circular inclusions. To fully capture the circular …

[HTML][HTML] A simple and accurate scheme based on complex space C to calculate boundary integrals of 2D boundary elements method

H Hosseinzadeh, M Dehghan - Computers & Mathematics with Applications, 2014 - Elsevier
In this work a semi-analytical algorithm is presented to calculate the boundary integrals of
higher order which appear in boundary elements method (BEM). In fact treating singularity …

Conservative schemes and degenerate scale problems in the null-field method for Dirichlet problems of Laplace's equation in circular domains with circular holes

MG Lee, ZC Li, HT Huang, JY Chiang - Engineering Analysis with …, 2013 - Elsevier
Recently, the null-field method (NFM) has been proposed by Chen and his co-researchers
for solving boundary value problems involving circular domains with circular holes. The …

Algorithm singularity of the null-field method for Dirichlet problems of Laplace׳ s equation in annular and circular domains

MG Lee, ZC Li, L Zhang, HT Huang… - Engineering Analysis with …, 2014 - Elsevier
For circular domains with circular holes, the null field method (NFM) is proposed by Chen
and his co-researchers when solving boundary integral equation (BIE). The explicit …

Null‐field approach for Laplace problems with circular boundaries using degenerate kernels

JT Chen, WC Shen - Numerical Methods for Partial Differential …, 2009 - Wiley Online Library
In this article, a semi‐analytical method for solving the Laplace problems with circular
boundaries using the null‐field integral equation is proposed. The main gain of using the …