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A new nine node degenerated shell element with enhanced membrane and shear interpolation
Author(s) -
Huang H. C.,
Hinton E.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620220107
Subject(s) - shear (geology) , interpolation (computer graphics) , shell (structure) , cartesian coordinate system , transverse shear , element (criminal law) , membrane , eigenvalues and eigenvectors , finite element method , geometry , materials science , mathematics , mechanics , mathematical analysis , structural engineering , physics , engineering , classical mechanics , composite material , chemistry , motion (physics) , biochemistry , quantum mechanics , political science , law
A new nine node degenerated shell element is presented in this paper. In the formulation of the new element, an enhanced interpolation of the transverse shear strains in the natural co‐ordinate system is used to overcome the shear locking problem, and an enhanced interpolation of the membrane strains in the local Cartesian co‐ordinate system is applied to avoid membrane locking behaviour. It is shown that the resulting element has the requisite number of zero eigenvalues and associated rigid body modes. The element does not exhibit membrane or shear locking for large span/thickness ratios. To illustrate the good performance of the new element some examples are presented including comparisons with the behaviour of the selectively integrated Lagrangian degenerated shell elements.