A cubic quadrilateral spline element with concave shapes

查看全文 作　　者：Juan [1]Chen;Chongjun [2]Li 机构地区：[1]School of Mathematics and Quantitative Economics,Dongbei University of Finance and Economics;[2]School of Mathematical Sciences,Dalian University of Technology 出　　处：《Theoretical & Applied Mechanics Letters》索引2013年第3卷第3期,共4页 基　　金：supported by the National Natural Science Foundation of China (11001037,11102037);the Fundamental Research Funds for the Central Universities(DUT13LK07) 摘　　要：Basic requirement for applying isoparametric element is that the element has to be convex and no violent distortion is allowed.In this paper,a cubic quadrilateral spline element with 12 nodes has been developed using the triangular area coordinates and the B-net method,which can exactly model the cubic field for quadrilateral element with both convex and concave shapes.Neither mapping nor coordinate transformation is required and the spline element can obtain high accuracy solutions and insensitive to mesh distortions. 关 键 词：四边形单元 样条 立方 形状 坐标变换 开发利用 三角区 高精度