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A consistent co‐rotational formulation for shells using the constant stress/constant moment triangle
Author(s) -
Peng X.,
Crisfield M. A.
Publication year - 1992
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.1620350907
Subject(s) - constant (computer programming) , mathematics , mathematical analysis , tangent stiffness matrix , tangent , curvature , moment (physics) , constant curvature , geometry , stiffness , matrix (chemical analysis) , bending moment , classical mechanics , stiffness matrix , physics , materials science , computer science , composite material , programming language , thermodynamics
The simplest facet‐shell formulation involves the combination of the constant‐strain membrane triangle with a constant‐curvature bending triangle. The paper describes a technique whereby this facet‐formulation is extended to handle geometric non‐linearity by means of a co‐rotational procedure. Emphasis is placed on the derivation of a technique that is increment‐independent with both the internal force vector and tangent stiffness matrix being derived from the 'total strain measures' in a 'consistent manner'. Numerical examples are presented which demonstrate an excellent numerical performance.