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多节点四边形杂交板元
引用本文:陈大鹏 周文伟. 多节点四边形杂交板元[J]. 西南交通大学学报, 1997, 32(5): 461-468
作者姓名:陈大鹏 周文伟
作者单位:[1]西南交通大学工程科学研究院 [2]长沙铁道学院桥梁结构研究所
摘    要:
基于共轭协变剪应变和逆变剪应力分量的杂交板元的合理列式,给出了一个12-节点C^0四边形的杂交板元。数值结果表明:与其他假设位移法的Mindlin板单元相比,所建议的单元,提供了改进的位移和应力解,且在歪斜网格时不“自锁”,能够通过补片试验,单刚拥有足够的秩等,因而具备了理想单元的品质。

关 键 词:板理论 协变剪应变 逆变剪应力 杂交元

A Multi node Quadrilateral Mindlin Plate Element
Chen Dapeng Zhao Zhong. A Multi node Quadrilateral Mindlin Plate Element[J]. Journal of Southwest Jiaotong University, 1997, 32(5): 461-468
Authors:Chen Dapeng Zhao Zhong
Abstract:
Based on hybrid finite element formulation with conjugate covariant shear strains and contravariant shear stresses in natural co ordinate system,a 12 node quadrilateral Mindlin plate element is proposed in this paper.Numerical examinations revealed that the present element is capable of providing enhanced computational accuracy favourably against the assume displacement counterparts.In addition, the element remains free from locking even in the situation of a seriously distorted element mesh.In this sense,the present element is very likely in the most sought after reliable and robust options for current finite element analysis.
Keywords:plate theory  covariant shear strain  contravariant shear stress  hybrid element  shear locking  patch tests  
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