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 -