ZHANG Xiang-ming, WANG An-wen, HE Han-lin. Locking-Free Degenerated Isoparametric Shell Element[J]. Applied Mathematics and Mechanics, 2001, 22(5): 541-549.
Citation: ZHANG Xiang-ming, WANG An-wen, HE Han-lin. Locking-Free Degenerated Isoparametric Shell Element[J]. Applied Mathematics and Mechanics, 2001, 22(5): 541-549.

Locking-Free Degenerated Isoparametric Shell Element

  • Received Date: 1998-10-26
  • Rev Recd Date: 2000-08-18
  • Publish Date: 2001-05-15
  • An 8-noded locking-free degenerated isoparametric shell element is presented.A revised interpolation for shear strain terms was constructed in natural co-ordinate system such that all necessary modes (translation,rotation and constant curvature) are preserved,which can be used to eliminate shear locking.A revised interpolation for membrane strains was produced in the local Cartesian co-ordinate system to overcome membrane locking behavior.The new 8-noded element has the proper rank,with the requisite number of zero eigenvalues each associated with a rigid mode.The element does not exhibit membrane or shear locking for large span-thickness ratio.The element does not form element mechanisms or extra spurious zero energy modes.Therefore,it can be used for both thin and thick shells.
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  • [1]
    Ahmad S,Irons B M,Zienkiewiecz O C.Analysis of thick and thin shell structures by curved finite elements[J].Internat J Numer Methods Engrg,1970,2(2):419-451.
    [2]
    Belytschko T,Stolarski H,Liu W K,et al.Stress projection for membrane and shear lockling in shell finite elements[J].Comput Methods Appl Mech Engrg,1985,51(1-3):221-258.
    [3]
    Zienwiecz O C,Taylor R C,Too J M.Reduced integration techniques in general analysis of plates and shells[J].Internat J Numer Methods Engrg,1971,3(2):275-290.
    [4]
    Hughes T J R,Talor R L,Kanok-nukulchai W.A simple and efficient finite element for plate bending[J].Internat J Numer Methods Engrg,1977,11(10):1529-1547.
    [5]
    MacNeal R H.A simple quadrilateral shell element[J].Comput &Structures,1978,8(2):175-183.
    [6]
    Huang H C,Hinton E.A nine node Lagrangian Mindlin plate element with enhanced shear interpolation[J].Engrg Comput,1984,1(3):369-379.
    [7]
    Hinton E,Huang H C.A family of quadrilateral Mindlin plate elements with substitute shear strain fields[J].Comput &Structures,1986,23(3):409-431.
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