计算力学学报2012，Vol.29Issue(1)：31-37,7.
几何精确NURBS有限元中边界条件施加方式对精度影响的三维计算分析
A three dimensional computational investigation on the influence of essential boundary condition imposition in NURBS isogeometric finite element analysis
摘要
Abstract
The NURBS isogeometric finite element analysis provides a perfect unification of the non-uni- form rational B-spline （NURBS） functions used for computer aided geometry design and the finite ele- ment methodology. In this method the geometric modeling error is significantly reduced with improved solution accuracy. Nevertheless the NURBS basis functions commonly are not interpolatory functions and consequently the way of direct imposition of essential boundary conditions on the control points may yield noticeable solution errors. In this work the interpolation property of NURBS basis functions is dis- cussed in details and thereafter a penalty formulation with improved solution accuracy and convergence behavior is proposed to enforce the essential boundary conditions in NLIRBS isogeometric analysis of three dimensional elasticity problems. Numerical results demonstrate that the approach with direct boundary condition enforcement on the control variables produces much larger solution errors as well as lower displacement and strain energy convergence rates, while the proposed method is capable of achie- ving the optimal convergence rates simultaneously with superior accuracy.关键词
NURBS有限元法/几何精确分析/无网格法/罚函数法/位移边界条件Key words
NURBS finite element method/isogeometric analysis/meshfree method/penalty method/essential boundary condition分类
数理科学引用本文复制引用
王东东,轩军厂,张灿辉..几何精确NURBS有限元中边界条件施加方式对精度影响的三维计算分析[J].计算力学学报,2012,29(1):31-37,7.基金项目
国家自然科学基金 （）
教育部新世纪优秀人才支持计划（NCET-09-0678）资助项目. （）
