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An improved discrete Kirchhoff quadrilateral thin‐plate bending element
Author(s) -
Jeyachandrabose C.,
Kirkhope J.,
Meekisho L.
Publication year - 1987
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.1620240312
Subject(s) - quadrilateral , element (criminal law) , bending , bending of plates , finite element method , mathematics , structural engineering , geometry , mathematical analysis , engineering , political science , law
By combining discrete Kirchhoff theory with least‐squares smoothed shape functions, an improved quadrilateral thin‐plate bending element is derived. This element exhibits improved performance over an earlier DKQ element in predicting both displacements and stresses. Numerical examples are presented comparing the element with many other quadrilateral elements for standard test problems.