The quadratic MITC plate and MITC shell elements in plate bending
type: Item
instance of: scholarly article
title: The quadratic MITC plate and MITC shell elements in plate bending
zbMATH Open document ID: 1195.74184
author: Phill-Seung Lee
author: Klaus-Jürgen Bathe
published in: Advances in Engineering Software
publication date: 2010-04-15T00:00:00Z
review text: The authors compare the performance of the triangular MITC7 plate and MITC6 shell elements, and the quadrilateral MITC9 plate and MITC9 shell elements in some typical linear plate bending problems. The MITC plate and MITC shell elements are based on Reissner-Mindlin kinematic assumptions. The MITC7 and MITC9 plate elements have an internal node with only rotational degrees of freedom, whereas the MITC6 and MITC9 shell elements carry the same degrees of freedom at each node: for plate analysis, the transverse displacement and two section rotations. The MITC9 plate and MITC9 shell finite elements have different interpolation functions and tying points for the transverse shear strains. The MITC plate and shell elements are therefore clearly different. Since the shell elements are general and can be used for linear and nonlinear analyses of plates and shells, it is important to identify the differences in the performance of these elements when compared to the plate elements. The shell elements have not (yet) been analyzed mathematically in depth for their rates of convergence, but have been shown numerically to perform well. To investigate the above situation, the authors consider here three linear problems of different geometries (square, circular and skewed plates).
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74K25
zbMATH DE Number: 5693323
zbMATH Keywords: Reissner-Mindlin kinematic theory
zbMATH Keywords: mixed formulation
zbMATH Keywords: optimal convergence
zbMATH Keywords: locking
reviewed by: V. L. Leontiev
MaRDI profile type: Publication
full work available at URL: j.advengsoft.2009.12.011
OpenAlex ID: W2125399122
cites work: Q5706234
cites work: Q2774020
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DOI: 10.1016/J.ADVENGSOFT.2009.12.011
description: scientific article; zbMATH DE number 5693323