Four-node generalized conforming membrane elements with drilling DOFs using quadrilateral area coordinate methods
type: Item
instance of: scholarly article
title: Four-node generalized conforming membrane elements with drilling DOFs using quadrilateral area coordinate methods
zbMATH Open document ID: 1394.74094
DOI: 10.1155/2015/328612
author: Xiao-Ming Chen
author: Song Cen
author: Jian-Yun Sun
author: Yun-Gui Li
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Two 4-node generalized conforming quadrilateral membrane elements with drilling DOF, named QAC4\(\theta\) and QAC4\(\theta\)M, were successfully developed. Two kinds of quadrilateral area coordinates are used together in the assumed displacement fields of the new elements, so that the related formulations are quite straightforward and will keep the order of the Cartesian coordinates unchangeable while the mesh is distorted. The drilling DOF is defined as the additional rigid rotation at the element nodes to avoid improper constraint. Both elements can pass the strict patch test and exhibit better performance than other similar models. In particular, they are both free of trapezoidal locking in MacNeal's beam test and insensitive to various mesh distortions.
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 6926077
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/328612
OpenAlex ID: W1560038181
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Wikidata QID: Q59118044
description: scientific article; zbMATH DE number 6926077