A novel four-node quadrilateral element with continuous nodal stress  

作　　者：唐旭海 郑超 吴圣川 张建海 

机构地区：[1]State Key Lab of Hydraulics and Mountain River Engineering, Sichuan University [2]Centre for Advanced Materials Joining and Computations(AMJC), School of Materials Science and Engineering, Hefei University of Technology [3]Centre for Advanced Computations in Engineering Science(ACES), Department of Mechanical Engineering, National University of Singapore

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第12期1519-1532,共14页应用数学和力学（英文版）

摘　　要：Formulation and numerical evaluation of a novel four-node quadrilateral element with continuous nodal stress（Q4-CNS）are presented.Q4-CNS can be regarded as an improved hybrid FE-meshless four-node quadrilateral element（FE-LSPIM QUAD4）, which is a hybrid FE-meshless method.Derivatives of Q4-CNS are continuous at nodes, so the continuous nodal stress can be obtained without any smoothing operation.It is found that,compared with the standard four-node quadrilateral element（QUAD4）,Q4- CNS can achieve significantly better accuracy and higher convergence rate.It is also found that Q4-CNS exhibits high tolerance to mesh distortion.Moreover,since derivatives of Q4-CNS shape functions are continuous at nodes,Q4-CNS is potentially useful for the problem of bending plate and shell models.Formulation and numerical evaluation of a novel four-node quadrilateral element with continuous nodal stress（Q4-CNS）are presented.Q4-CNS can be regarded as an improved hybrid FE-meshless four-node quadrilateral element（FE-LSPIM QUAD4）, which is a hybrid FE-meshless method.Derivatives of Q4-CNS are continuous at nodes, so the continuous nodal stress can be obtained without any smoothing operation.It is found that,compared with the standard four-node quadrilateral element（QUAD4）,Q4- CNS can achieve significantly better accuracy and higher convergence rate.It is also found that Q4-CNS exhibits high tolerance to mesh distortion.Moreover,since derivatives of Q4-CNS shape functions are continuous at nodes,Q4-CNS is potentially useful for the problem of bending plate and shell models.

关 键 词：Q4-CNS four-node quadrilateral element partition of unity continuousnodal stress ACCURACY mesh distortion 

分 类 号：O35[理学—流体力学]