Improving accuracy and efficiency of stress analysis using scaled boundary finite elements

被引:6
作者
Lin, Gao [1 ]
Pang, Lin [1 ]
Hu, Zhiqiang [1 ]
Zhang, Yong [2 ]
机构
[1] Dalian Univ Technol, Fac Infrastruct Engn, Dalian 116024, Peoples R China
[2] Chinese Acad Sci, Inst Nucl Energy Safety Technol, Hefei 230031, Peoples R China
基金
中国国家自然科学基金;
关键词
Stress analysis; SBFEM; NURBS; Polygon elements; Stress concentration; Refinement; ISOGEOMETRIC ANALYSIS; NURBS; GEOMETRY; CAD;
D O I
10.1016/j.enganabound.2016.03.008
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The scaled boundary finite element method (SBFEM) is a fundamental-solution-less boundary element method, which leads to semi-analytical solutions for stress fields. As only the boundary is discretized, the spatial dimension is reduced by one. In this paper, the SBFEM based polygon elements are utilized to improve the accuracy and efficiency of stress analysis. It retains the attractive feature of the SBFEM in solving problems with unbounded media and singularities. In addition, polygon elements are more flexible in meshing and mesh transition. Various measures which help improving accuracy or efficiency of the stress analysis, i.e. refining polygon mesh, nodal enrichment, appropriate placing of the scaling center, merging polygon elements and NURBS enhanced curved boundaries are discussed and compared. As a result, further insight into the refinement and improvement strategies for stress analysis is provided. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:26 / 42
页数:17
相关论文
共 33 条
[1]   High-order accurate discontinuous finite element solution of the 2D Euler equations [J].
Bassi, F ;
Rebay, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 138 (02) :251-285
[2]   Isogeometric analysis using T-splines [J].
Bazilevs, Y. ;
Calo, V. M. ;
Cottrell, J. A. ;
Evans, J. A. ;
Hughes, T. J. R. ;
Lipton, S. ;
Scott, M. A. ;
Sederberg, T. W. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :229-263
[3]  
Belytschko T, 1999, INT J NUMER METH ENG, V45, P601, DOI 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO
[4]  
2-S
[5]   A coupled BEM/scaled boundary FEM formulation for accurate computations in linear elastic fracture mechanics [J].
Bird, G. E. ;
Trevelyan, J. ;
Augarde, C. E. .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2010, 34 (06) :599-610
[6]  
Cottrell J.A., 2009, Isogeometric Analysis: Towards Unification of Computer Aided Design and Finite Element Analysis
[7]   An h-hierarchical adaptive procedure for the scaled boundary finite-element method [J].
Deeks, AJ ;
Wolf, JP .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 54 (04) :585-605
[8]   Semi-analytical elastostatic analysis of unbounded two-dimensional domains [J].
Deeks, AJ ;
Wolf, JP .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2002, 26 (11) :1031-1057
[9]   A virtual work derivation of the scaled boundary finite-element method for elastostatics [J].
Deeks, AJ ;
Wolf, JP .
COMPUTATIONAL MECHANICS, 2002, 28 (06) :489-504
[10]   Dynamic analysis of large-scale SSI systems for layered unbounded media via a parallelized coupled finite-element/boundary-element/scaled boundary finite-element model [J].
Genes, M. Cemal .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (05) :845-857