A State Space Boundary Element Method with Analytical Formulas for Nearly Singular Integrals

2018 ◽  
Vol 31 (4) ◽  
pp. 433-444 ◽  
Author(s):  
Changzheng Cheng ◽  
Dong Pan ◽  
Zhilin Han ◽  
Meng Wu ◽  
Zhongrong Niu
Keyword(s):  
Boundary Element Method ◽  
State Space ◽  
Boundary Element ◽  
Singular Integrals ◽  
Nearly Singular Integrals ◽  
Analytical Formulas ◽  
Space Boundary ◽  
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.

New variable transformations for evaluating nearly singular integrals in 3D boundary element method

2013 ◽  
Vol 37 (9) ◽  
pp. 1169-1178 ◽  
Author(s):  
Guizhong Xie ◽  
Fenglin Zhou ◽  
Jianming Zhang ◽  
Xingshuai Zheng ◽  
Cheng Huang
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Singular Integrals ◽  
Nearly Singular Integrals ◽  
Element Method
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