Premium
An incompatible element for axisymmetric structure and its modification by hybrid method
Author(s) -
Sze K. Y.,
Chow C. L.
Publication year - 1991
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.1620310211
Subject(s) - quadrilateral , element (criminal law) , mathematics , rotational symmetry , finite element method , compressibility , invariant (physics) , numbering , mathematical analysis , geometry , structural engineering , mechanics , engineering , physics , algorithm , law , mathematical physics , political science
This paper introduces three four‐node quadrilateral axisymmetric elements. The first one is an incompatible element while the second one is a modification of the first element by an extended Hellinger‐Reissner principle. The second element is then simplified by incorporating the conceptual idea of free formulation and thus forms the third element. All of the three elements are found to be invariant, insensitive to nodal point numbering, free of locking for nearly incompressible material, able to pass the patch test and do not exhibit the false shear phenomenon. Numerical examples are given and satisfactory predictions are achieved.