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一种通用单元用于板壳问题的弹塑性分析 被引量:2

A General Element for Elasto Plastic Analsys of Plates and Shells
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摘要 讨论一种通用有效的平板壳元用于板壳问题的弹塑性分析,单元中每个结点有六个自由度,此种单元由基于Mindlin板理论的平板弯曲单元与带有平面内转动自由度的平面膜单元组成.沿单元厚度方向采用分层方法进行弹塑性分析,算例结果表明本文方法合理、可行. A general and efficient element is discussed for elasto plastic analysis of plates and shells. This element has six degrees of freedom per node, and is obtained by combining the Mindlin plate bending element and the membrance element with driling degree of freedom. The layered model is used for elasto plastic analysis in the thickness direction. The results of numerical examples show that the present method is feasiable and reliable.
出处 《河海大学学报(自然科学版)》 CAS CSCD 1997年第5期34-40,共7页 Journal of Hohai University(Natural Sciences)
关键词 板壳单元 弹塑性 薄壳结构 建筑结构 plate shell element elasto plasticity drilling degrees of freedom layered model
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参考文献3

  • 1邵国建,河海大学学报,1997年,25卷,1期,81页
  • 2卓家寿,水工结构工程与岩土工程的现代计算方法及程序,1992年,15页
  • 3Pian T H H,Int J Numer Methods Eng,1988年,26期,2331页

同被引文献12

  • 1铁摩辛柯 古地尔.弹性理论[M].北京:人民教育出版社,1964..
  • 2邵国建.一种新的通用板壳模式及其应用[M].南京:河海大学,1997..
  • 3Reissner E. The effect of transverse shear deformation on the bending of elastic plates[J]. J Appl Mech,1945,28:402-408.
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  • 5Wang C M, Lim G T. Relationship between bending solutions of Reissner and Mindlin plate theories[J]. Engineering Structure, 2001,23:838-849.
  • 6Argyris J H, Papadrakakis M. Elasto-plastic analisis of shells with the triangular element TRIC[J]. Computer Methods in Applied Mechanics Engineering, 2002,191(33):3613-3636.
  • 7Johnson K L. Contact mechanics[M]. Cambridge: Cambridge University Press, 1987.70-75.
  • 8Bursi O S, Jaspart J P. Basic issues in the finite element simulation of extended end plate connextions[J]. Computers & Structures, 1998,69:361-382.
  • 9黄克智,黄永刚. 固体本构关系[M]. 北京:清华大学出版社, 1997.27-34.(Huang K Z, Huang Y G. Constitutive relations of solid[M]. Beijing: Tsinghua University Press, 1997.27-34.)
  • 10Huang B Z, Shenoy V B, Atluri S N. A quasi-conforming triangular laminated composite shell element based on a refined first-order theory[J]. Comput Mech, 1994,13(4):295-314.

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