scholarly journals A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method

2013 ◽  
Vol 245 ◽  
pp. 148-161 ◽  
Author(s):  
Barbara M. Johnston ◽  
Peter R. Johnston ◽  
David Elliott
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Numerical Evaluation ◽  
Singular Integrals ◽  
New Method ◽  
Nearly Singular Integrals ◽  
Triangular Elements ◽  
Element Method

scholarly journals Interlaminar Stresses Analysis of Three-Dimensional Composite Laminates by the Boundary Element Method

2018 ◽  
Vol 34 (6) ◽  
pp. 829-837
Author(s):  
Y. C. Shiah ◽  
M. R. Hematiyan
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Composite Laminates ◽  
Singular Integrals ◽  
Three Dimensional ◽  
Boundary Integral ◽  
Interlaminar Stresses ◽  
Composite Layers ◽  
Nearly Singular Integrals ◽  
Element Method

AbstractIn engineering industries, composite laminates have been widely applied for various applications. This work presents an efficient analysis of the interlaminar stresses in three-dimensional thin layered anisotropic composites by the boundary element method (BEM). Due to the nearly singular integrals in the boundary integral equation, the conventional BEM approach cannot be applied to analyze the composite layers that are very thin. The present work employs the self-regularization scheme to analyze the interlaminar stresses in thin anisotropic composites. In the end, a few benchmark examples are presented to show the applicability of the present approach.

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