四边形杂交/混合轴对称有限元列式

Finite Element Formulation for an Axisymmetric Hybrid/Mixed Quadrilateral Element

本文建立了—8—节点四边形轴对称杂交/混合有限单元。该单元不含多余机动模式,无伪剪切现象,能通过补片试验。本单元的各项应力表达式由一次线性完备的应力参数组成,它对坐标取向、单元网格歪斜以及节点编号顺序皆不敏感。数值算例表明,这一单元具有优异的计算精度。

An 8-node axisymmetric solid-of-revolution hybrid/mixed element with quadrilateral cross-section is proposed, which is free from spurious kinematic mode, capable of avoiding false shear pheno- menon and passing the paten test. In terms of linearly complete stress interpolation, the present 8-node element is not sensitive to coordinate axis orientations, neither to element mesh distor- tions, nor to the so-called numbering effects. Numerical examin- ations clearly demonstrate the remarkable computational accuracy attained with the present element.