Convergence of the TRUNC plate element
type: Item
instance of: scholarly article
title: Convergence of the TRUNC plate element
zbMATH Open document ID: 0616.73069
DOI: 10.1016/0045-7825(87)90090-9
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: The paper presents a mathematical analysis of the TRUNC element proposed by \textit{P. G. Bergan} [e.g. Comput. Struct. 12, 497-509 (1980; Zbl 0443.73069)] and developed by \textit{J. Argyris, M. Haase, H.-P. Mlejnek} and \textit{P. K. Schmolz} [Int. J. Numer. Methods Eng. 22, 93-115 (1986; Zbl 0593.73077)]. It is shown that the TRUNC element uses the same finite element space as Zienkiewicz's cubic element. The convergence of the TRUNC element for an arbitrary mesh geometry is proved. The original Zienkiewicz element can only converge to the true solution, if the meshes are parallel to three given directions. The new element imposes no restrictions on the meshes and needs less computational cost, while it gives better results in comparison with many other plate elements.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3999430
zbMATH Keywords: nonconforming Zienkiewicz cubic element
zbMATH Keywords: modified variational formation
zbMATH Keywords: nine-degree plate element
zbMATH Keywords: numerical integrations of part of stiffness matrix
zbMATH Keywords: TRUNC element
zbMATH Keywords: convergence
zbMATH Keywords: arbitrary mesh geometry
author: Zhongci Shi
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90090-9
OpenAlex ID: W2084187907
cites work: On an unconventional but natural formation of a stiffness matrix
cites work: Some considerations on the natural approach
cites work: Q3899644
cites work: Q4082392
cites work: Q3678781
cites work: Q3890207
cites work: Q5544635
cites work: Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes
cites work: A convergence condition for the quadrilateral Wilson element
cites work: TRUNC for shells—an element possibly to the taste of Bruce Irons
description: scientific article; zbMATH DE number 3999430