A fast hierarchical dual boundary element method for three-dimensional elastodynamic crack problems

2010 ◽  
Vol 84 (9) ◽  
pp. 1038-1067 ◽  
Author(s):  
I. Benedetti ◽  
M. H. Aliabadi
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Dual Boundary Element Method ◽  
Crack Problems ◽  
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.

The dual boundary element method for thermoelastic crack problems

1994 ◽  
Vol 66 (3) ◽  
pp. 255-272 ◽  
Author(s):  
N. N. V. Prasad ◽  
M. H. Aliabadi ◽  
D. P. Rooke
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Dual Boundary Element Method ◽  
Crack Problems ◽  
Element Method
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