Locking of Pure Membrane Elements

  • David C. Salmon
  • John F. Abel
Conference paper


The phenomenon of membrane locking arises from “parasitic” membrane strains generated by a finite element when it undergoes pure bending deformation. If the strain energy associated with parasitic strains is a significant portion of the total strain energy in the element, the element becomes artificially stiffened and erroneous results are produced. The fully integrated 9-node lagrangian shell element is an example of a finite element which exhibits membrane locking, even when the bending deformations experienced by the element are small.


Mixed Formulation Finite Element Formulation Stress Error Parasitic Strain Membrane Sheet 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • David C. Salmon
    • 1
  • John F. Abel
    • 2
  1. 1.Department of Architecture and Program of Computer GraphicsCornell UniversityIthacaUSA
  2. 2.Department of Civil Engineering and Program of Computer GraphicsCornell UniversityIthacaUSA

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