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An investigation of a finite rotation four node assumed strain shell element
Author(s) -
Parisch H.
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.1620310108
Subject(s) - quadrilateral , tangent , shell (structure) , finite element method , tangent stiffness matrix , covariant transformation , mathematics , stiffness matrix , element (criminal law) , simple (philosophy) , node (physics) , rotation (mathematics) , matrix (chemical analysis) , stiffness , mathematical analysis , rigid body , geometry , classical mechanics , structural engineering , physics , engineering , materials science , mechanical engineering , philosophy , epistemology , political science , law , composite material
The paper presents a shell formulation based on the ‘degenerated solid approach’. The theory employs covariant strains and performs explicit integration through the shell thickness. The rigid body motion is exactly represented. The consistent tangent stiffness matrix is evaluated for the four node quadrilateral. It is shown, in the final part, that this type of element, which distinguishes itself by a very simple and easily understandable theory, gives good answers for linear as well as non‐linear applications.