计算力学学报2016，Vol.33Issue(6)：813-818,6.DOI:10.7511/jslx201606002
基于 Bézier 提取的三维等几何分析
Three-dimensional isogeometric analysis based on Bézier extraction
摘要
Abstract
Isogeometric analysis (IGA) uses non‐uniform rational B‐splines (NURBS) functions as shape functions of finite element method (FEM ) ,so that IGA has some advantages such as exact geometrical representation ,high‐order continuity and high accuracy .Unlike shape functions in FEM is C0‐continuity , in high‐order IGA ,the basis functions are not confined to one element ,but span a global domain ,so the programming is complicated and which cannot be embedded into existing FEM framework .In this paper , a three‐dimensional IGA based on Bézier extraction is developed ,which decomposes NURBS functions to a set of Bernstein polynomials ,thus C0 continuous Bézier elements ,which are similar to Lagrange elements ,can be obtained .Hence ,the implementation of IGA is similar to that of conventional FEM ,so that IGA can be embedded in existing FEM software easily .Two examples are given to illustrate the IGA based on Bézier extraction has the same convergence rate and accuracy as those in the conventional IGA .关键词
等几何分析/N U RBS/Bézier提取/伯恩斯坦多项式/有限元法Key words
Isogeometric analysis/NURBS/Bézier extraction/Bernstein polynomial/FEM分类
数理科学引用本文复制引用
来文江,余天堂,尹硕辉..基于 Bézier 提取的三维等几何分析[J].计算力学学报,2016,33(6):813-818,6.基金项目
国家自然科学基金（51179063）资助项目． （）
