Developments of Mindlin-Reissner plate elements
type: Item
instance of: scholarly article
title: Developments of Mindlin-Reissner plate elements
zbMATH Open document ID: 1394.74099
DOI: 10.1155/2015/456740
author: Song Cen
author: Yan Shang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Since 1960s, how to develop high-performance plate bending finite elements based on different plate theories has attracted a great deal of attention from finite element researchers, and numerous models have been successfully constructed. Among these elements, the most popular models are usually formulated by two theoretical bases: the Kirchhoff plate theory and the Mindlin-Reissener plate theory. Due to the advantages that only \(C^0\) continuity is required and the effect of transverse shear strain can be included, the latter one seems more rational and has obtained more attention. Through abundant works, different types of Mindlin-Reissener plate models emerged in many literatures and have been applied to solve various engineering problems. However, it also brings FEM users a puzzle of how to choose a ``right'' one. The main purpose of this paper is to present an overview of the development history of the Mindlin-Reissner plate elements, exhibiting the state-of-art in this research field. At the end of the paper, a promising method for developing ``shape-free'' plate elements is recommended.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6926390
describes a project that uses: FEAPpv
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/456740
OpenAlex ID: W1496365809
Wikidata QID: Q59118626
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