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Improvement of quadratic finite element for Mindlin plate bending
Author(s) -
Kim SunHoon,
Choi ChangKoon
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.1620340112
Subject(s) - finite element method , bending of plates , mixed finite element method , displacement field , eigenvalues and eigenvectors , extended finite element method , spurious relationship , displacement (psychology) , polygon mesh , mathematical analysis , bending , shear (geology) , structural engineering , finite element limit analysis , element (criminal law) , mathematics , geometry , engineering , physics , materials science , psychology , statistics , quantum mechanics , composite material , psychotherapist , political science , law
The present paper is concerned with the improvement of a finite element for the analysis of plate bending structures. The element formulation is based upon the Mindlin plate concept. The displacement field of this element is formed by adding non‐conforming modes to two rotational displacement components of an 8‐node plate element. The element has the requisite numbers of zero eigenvalues associated with rigid body modes to avoid the spurious zero energy mode. It is shown that the results obtained by the element converged to the exact solutions very rapidly as the mesh is refined and exhibited reliable solutions through numerical studies for standard benchmark problems. This element is shown to overcome the shear locking problem completely in a very thin plate situation, even for irregular meshes.