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A generalized displacement method for the finite element analysis of thin shells
Author(s) -
Kui Li Xi,
Liu Guo Qiang,
Zienkiewicz O. C.
Publication year - 1985
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.1620211203
Subject(s) - finite element method , subspace topology , bilinear interpolation , shear (geology) , displacement (psychology) , context (archaeology) , shell (structure) , mathematical analysis , mathematics , geometry , structural engineering , materials science , engineering , geology , psychology , paleontology , statistics , composite material , psychotherapist
The shear locking problem for the bilinear degenerated thick shell elements, when used in the context of thin shell structures, can be overcome by a generalized displacement method presented in this paper. The transverse shear energy in the degenerated thick shell elements is totally suppressed by introducing discrete Kirchhoff constraints in each element. The constrained variational problem based on the nodal displacement space is transformed into an unconstrained one based on a so‐called generalized displacement subspace. It is shown that shear looking phenomena completely disappear and no degradation of results is observed as the ratio of thickness to span approaches zero.