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Evaluation of a new quadrilateral thin plate bending element
Author(s) -
Batoz JeanLouis,
Tahar Mabrouk Ben
Publication year - 1982
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.1620181106
Subject(s) - quadrilateral , bending of plates , element (criminal law) , bending , degrees of freedom (physics and chemistry) , computation , structural engineering , finite element method , simple (philosophy) , geometry , engineering , mathematics , physics , algorithm , philosophy , epistemology , quantum mechanics , political science , law
A review of 4‐node, 12 degrees‐of‐freedom quadrilateral elements for thin plates is presented. A new element called DKQ is discussed. The formulation is based on a generalization of the efficient and reliable triangular element DKT presented in References 1 and 2 and on the rectangular element QC presented in Reference 3. These elements are derived using the so‐called discrete Krichhoff technique. A detailed numerical evaluation of the behaviour of the DKQ element for the computation of displacements and stresses for thin plate bending problems is presented and discussed. The DKQ element appears to be a simple and reliable 12 degrees‐of‐freedom thin plate bending element.