scholarly journals A simple implementation of the dual boundary element method using the tangential differential operator for plane problems

2010 ◽  
Author(s):  
L. Palermo ◽  
P. C. Gonçalves ◽  
L. G. Fogueiredo
Keyword(s):  
Boundary Element Method ◽  
Differential Operator ◽  
Boundary Element ◽  
Dual Boundary Element Method ◽  
Simple Implementation ◽  
Element Method

Dynamic Fracture Analysis of Plates Loaded in Tension and Bending Using the Dual Boundary Element Method

2019 ◽  
Vol 827 ◽  
pp. 440-445
Author(s):  
Jun Li ◽  
Zahra Sharif Khodaei ◽  
Ferri M.H. Aliabadi
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Dynamic Fracture ◽  
Boundary Integral Equations ◽  
Crack Opening ◽  
Fracture Analysis ◽  
Boundary Integral ◽  
Mindlin Plate ◽  
Dual Boundary Element Method ◽  
Element Method

The purpose of this paper is to solve dynamic fracture problems of plates under both tension and bending using the boundary element method (BEM). The dynamic problems were solved in the Laplace-transform domain, which avoided the calculation of the domain integrals resulting from the inertial terms. The dual boundary element method, in which both displacement and traction boundary integral equations are utilized, was applied to the modelling of cracks. The dynamic fracture analysis of a plate under combined tension and bending loads was conducted using the BEM formulations for the generalized plane stress theory and Mindlin plate bending theory. Dynamic stress intensity factors were estimated based on the crack opening displacements.

Why dual boundary element method is necessary?

2017 ◽  
Vol 76 ◽  
pp. 59-68 ◽  
Author(s):  
Jeng-Tzong Chen ◽  
Ching-Yun Yueh ◽  
Yu-Lung Chang ◽  
Chun-Chiang Wen
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Dual Boundary Element Method ◽  
Element Method

scholarly journals Dual Boundary Element Method Applied to Antiplane Crack Problems

2009 ◽  
Vol 2009 ◽  
pp. 1-10 ◽  
Author(s):  
Wei-Liang Wu
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Boundary Integral Equations ◽  
Outer Boundary ◽  
Shear Loading ◽  
Boundary Integral ◽  
Plane Shear ◽  
Dual Boundary Element Method ◽  
Crack Problems ◽  
Element Method

This paper is concerned with an efficient dual boundary element method for 2d crack problems under antiplane shear loading. The dual equations are the displacement and the traction boundary integral equations. When the displacement equation is applied on the outer boundary and the traction equation on one of the crack surfaces, general crack problems with anti-plane shear loading can be solved with a single region formulation. The outer boundary is discretised with continuous quadratic elements; however, only one of the crack surfaces needs to be discretised with discontinuous quadratic elements. Highly accurate results are obtained, when the stress intensity factor is evaluated with the discontinuous quarter point element method. Numerical examples are provided to demonstrate the accuracy and efficiency of the present formulation.

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