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Anisotropic cylindrical shell element based on discrete Kirchhoff theory
Author(s) -
Murthy S. Sridhara,
Gallagher Richard H.
Publication year - 1983
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.1620191207
Subject(s) - shell (structure) , anisotropy , displacement (psychology) , quadratic equation , mathematics , degrees of freedom (physics and chemistry) , mathematical analysis , element (criminal law) , finite element method , geometry , node (physics) , physics , structural engineering , materials science , composite material , engineering , optics , psychology , quantum mechanics , political science , law , psychotherapist
A triangular cylindrical shell element based on discrete Kirchhoff theory is developed. It is a three‐node, 27‐degrees‐of‐freedom element using cubic polynomials for the tangential and normal displacement interpolations. The normal rotations are independently interpolated by quadratic polynomials. The formulation is capable of modelling general anisotropy representative of multi‐layered, multi‐directionally oriented composite construction. The numerical results indicate that the solution for displacements and stresses of cylindrical shells converge monotonically and rapidly to those based on deep shell theory.