Details
| Original language | English |
|---|---|
| Pages (from-to) | 132-150 |
| Number of pages | 19 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 323 |
| Publication status | Published - 19 May 2017 |
Abstract
The isogeometric analysis (IGA) is applied for the weakly singular symmetric Galerkin boundary element method (SGBEM) to analyzelinear elastostatics problems in three-dimensional domains. The background of the proposed method is to use non-uniform rational B-splines (NURBS) as the basis functions for the approximation of both geometry and field variables (i.e. displacement and traction) of the governing integral equations. Same as weakly singular SGBEM, the basic ingredient of the method is a pair of weakly singular weak-form integral equations for the displacement and traction on the boundary of the domain. These integral equations are solved approximately using standard Galerkin approximation. In addition to the advantages that IGA owned, the proposed method exploits the common boundary representation of CAD model and boundary element method. Various numerical examples of both simple and complex geometries are examined to validate the accuracy and efficiency of the proposed method. Through the numerical examples, it is observed that the IGA–SGBEM produces highly accurate results.
Keywords
- CAD/CAE integration, IGA–SGBEM, Isogeometric analysis, Symmetric Galerkin BEM, Three-dimensional, Weakly singular
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 323, 19.05.2017, p. 132-150.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Isogeometric symmetric Galerkin boundary element method for three-dimensional elasticity problems
AU - Nguyen, B. H.
AU - Zhuang, X.
AU - Wriggers, P.
AU - Rabczuk, T.
AU - Mear, M. E.
AU - Tran, H. D.
PY - 2017/5/19
Y1 - 2017/5/19
N2 - The isogeometric analysis (IGA) is applied for the weakly singular symmetric Galerkin boundary element method (SGBEM) to analyzelinear elastostatics problems in three-dimensional domains. The background of the proposed method is to use non-uniform rational B-splines (NURBS) as the basis functions for the approximation of both geometry and field variables (i.e. displacement and traction) of the governing integral equations. Same as weakly singular SGBEM, the basic ingredient of the method is a pair of weakly singular weak-form integral equations for the displacement and traction on the boundary of the domain. These integral equations are solved approximately using standard Galerkin approximation. In addition to the advantages that IGA owned, the proposed method exploits the common boundary representation of CAD model and boundary element method. Various numerical examples of both simple and complex geometries are examined to validate the accuracy and efficiency of the proposed method. Through the numerical examples, it is observed that the IGA–SGBEM produces highly accurate results.
AB - The isogeometric analysis (IGA) is applied for the weakly singular symmetric Galerkin boundary element method (SGBEM) to analyzelinear elastostatics problems in three-dimensional domains. The background of the proposed method is to use non-uniform rational B-splines (NURBS) as the basis functions for the approximation of both geometry and field variables (i.e. displacement and traction) of the governing integral equations. Same as weakly singular SGBEM, the basic ingredient of the method is a pair of weakly singular weak-form integral equations for the displacement and traction on the boundary of the domain. These integral equations are solved approximately using standard Galerkin approximation. In addition to the advantages that IGA owned, the proposed method exploits the common boundary representation of CAD model and boundary element method. Various numerical examples of both simple and complex geometries are examined to validate the accuracy and efficiency of the proposed method. Through the numerical examples, it is observed that the IGA–SGBEM produces highly accurate results.
KW - CAD/CAE integration
KW - IGA–SGBEM
KW - Isogeometric analysis
KW - Symmetric Galerkin BEM
KW - Three-dimensional
KW - Weakly singular
UR - http://www.scopus.com/inward/record.url?scp=85020482241&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2017.05.011
DO - 10.1016/j.cma.2017.05.011
M3 - Article
AN - SCOPUS:85020482241
VL - 323
SP - 132
EP - 150
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -