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Geometrically nonlinear analysis of shells by quadrilateral flat shell element with drill, shear, and warping
Author(s) -
Tang Yi Qun,
Zhou Zhi Hua,
Chan Siu Lai
Publication year - 2016
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.5261
Subject(s) - quadrilateral , image warping , tangent stiffness matrix , shell (structure) , stiffness matrix , nonlinear system , structural engineering , finite element method , kinematics , engineering , geometry , mathematics , mechanical engineering , computer science , classical mechanics , physics , quantum mechanics , artificial intelligence
Summary In this paper, a four‐node quadrilateral flat shell element is proposed for geometrically nonlinear analysis based on updated Lagrangian formulation with the co‐rotational kinematics concept. The flat shell element combines the membrane element with drilling degrees of freedom and the plate element with shear deformation. By means of these linearized elements, a simplified nonlinear analysis procedure allowing for warping of the flat shell element and large rotation is proposed. The tangent stiffness matrix and the internal force recovery are formulated in this paper. Several classic benchmark examples are presented to validate the accuracy and efficiency of the proposed new and more proficient element for practical engineering analysis of shell structures. Copyright © 2016 John Wiley & Sons, Ltd.