An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems

2016 ◽  
Vol 306 ◽  
pp. 252-275 ◽  
Author(s):  
B.H. Nguyen ◽  
H.D. Tran ◽  
C. Anitescu ◽  
X. Zhuang ◽  
T. Rabczuk
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Two Dimensional ◽  
Crack Problems ◽  
Galerkin Boundary Element Method ◽  
Element Method

scholarly journals An isogeometric SGBEM for crack problems of magneto-electro-elastic materials

2017 ◽  
Vol 39 (2) ◽  
pp. 135-147 ◽  
Author(s):  
Han Duc Tran ◽  
Binh Huy Nguyen
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Basis Functions ◽  
Intensity Factors ◽  
B Splines ◽  
Crack Problems ◽  
Generalized Stress Intensity Factors ◽  
Galerkin Boundary Element Method ◽  
Finite Domains ◽  
Element Method

The isogeometric symmetric Galerkin boundary element method is applied for the analysis of crack problems in two-dimensional magneto-electro-elastic domains. In this method, the field variables of the governing integral equations as well as the geometry of the problems are approximated using non-uniform rational B-splines (NURBS) basis functions. The key advantage of this method is that the isogeometric analysis and boundary element method deal only with the boundary of the domain. To verify the accuracy of the proposed method, numerical examples for crack problems in infinite and finite domains are examined. It is observed that the computed generalized stress intensity factors obtained by the proposed method agree well with the exact solutions and other references.

A Symmetric Boundary Element Method/Finite Element Method Coupling Procedure for Two-Dimensional Elastodynamic Problems

2003 ◽  
Vol 70 (3) ◽  
pp. 451-454 ◽  
Author(s):  
G. Y. Yu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Memory Storage ◽  
Two Dimensional ◽  
Coupling Procedure ◽  
Double Space ◽  
Galerkin Boundary Element Method ◽  
Element Method

In this paper, a symmetric collocation boundary element method (SCBEM)/finite element method (FEM) coupling procedure is given and applied to a two-dimensional elastodynamic problem. The use of symmetry for the boundary element method not only saves memory storage but also enables the employment of efficient symmetric equation solvers. This is especially important for BEM/FEM coupling procedure. Compared with the symmetric Galerkin boundary element method (SGBEM) where double-space integration should be carried out, SCBEM is easier and faster.

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