A novel four-node quadrilateral element with continuous nodal stress

• Published in: Applied mathematics and mechanics Vol. 30; no. 12; pp. 1519 - 1532
• Main Author: 唐旭海 郑超 吴圣川 张建海
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.12.2009
• Subjects: Applications of Mathematics; Classical Mechanics; Derivatives; Distortion; Fluid- and Aerodynamics; Iron; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Quadrilaterals; Shells; Stresses; Tolerances; 中枢神经系统; 四节点; 四边形单元; 数值计算; 板壳模型; 混合有限元; 节点应力; 节点连续; O34; Q4-CNS; partition of unity; continuous nodal stress; accuracy; mesh distortion; four-node quadrilateral element; 65N30
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-009-1204-1

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.