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关于能量正交板元的形函数空间 被引量:9

On the Space of Shape Functions of an EnergyOrthogonal Plate Element
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摘要 本文证明最近Bergan 等提出的一种能量正交板元的形函数空间实际上等价于通常的Zienkiewicz 不完全三次元空间. It is proved that the space of shape fnuctions of an energy-orthogonal plate elemnt,recently introduced by Bergan et.al,is actually identical with the usual in complete cubic element of Zienkiewicz.
作者 石钟慈
机构地区 中科院计算中心
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 1990年第2期127-131,共5页 JUSTC
关键词 有限元法 能量正交板元 数值分析 finite-element method numerical analysis energy-orthogonal plate element.
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  • 2石东洋,陈绍春.一类八自由度矩形板元[J].应用数学,1996,9(3):303-305. 被引量:5
  • 3Garlet P G. The finite element method for elliptic problems [ M ]. North -Hollnf Publishing Company, 1987. 被引量:1
  • 4Felippa C A, Bergan P G. A trianglar bending element based on an energy orthogonal free formulation[ J]. Computer Meth. Appl. Mech. Eng,1987,61:129-160. 被引量:1
  • 5Bergan P G, Nygard M K. Finite elements with increased freedom in choosing shape functions [ J ]. Int. J. Number, Meths. Eng, 1984,20:643 - 664. 被引量:1
  • 6Shi Zhong - ci, Zhang Fei. Construction and analysis of a new energy - orthognal unconventional plate element [ J ]. Journal of Computational Mathematics, 1990,8 ( 1 ) :75 - 91. 被引量:1
  • 7FELIPPA C A, BERGAN P G.A triangular bending element based on an energy orthogonal free formulation[J].Computer meth appl mech Eng, 1987, 61: 129-160. 被引量:1
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  • 9Ciarlet P G.The Finite Element Method for Elliptic Problems[M].North-Holland,Amsterdam,1978. 被引量:1
  • 10Felippa C A,Bergan P G.A tyiangular bending element based on an energy orthogonal free formulation[J].Computer meth.appl.mech.Eng.,1987,61:129-160. 被引量:1

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