Approximation of linear elastic shells by curved triangular finite elements based on elastic thick shells theory
type: Item
instance of: scholarly article
title: Approximation of linear elastic shells by curved triangular finite elements based on elastic thick shells theory
zbMATH Open document ID: 1400.74071
DOI: 10.1155/2016/8936075
author: Joseph Nkongho Anyi
author: Robert Nzengwa
author: Jean Chills Amba
author: Claude Valery Abbe Ngayihi
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: We have developed a curved finite element for a cylindrical thick shell based on the thick shell equations established in 1999 by Nzengwa and Tagne (N-T). The displacement field of the shell is interpolated from nodal displacements only and strains assumption. Numerical results on a cylindrical thin shell are compared with those of other well-known benchmarks with satisfaction. Convergence is rapidly obtained with very few elements. A scaling was processed on the cylindrical thin shell by increasing the ratio \(\chi = h / 2 R\) (half the thickness over the smallest radius in absolute value) and comparing results with those obtained with the classical Kirchhoff-Love thin shell theory; it appears that results diverge at \(2 \chi = \sqrt{1 / 10} = 0.316\) because of the significant energy contribution of the change of the third fundamental form found in N-T model. This limit value of the thickness ratio which characterizes the limit between thin and thick cylindrical shells differs from the ratio 0.4 proposed by Leissa and 0.5 proposed by Narita and Leissa.
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6953713
Wikidata QID: Q59140988
describes a project that uses: MUL2
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8936075
OpenAlex ID: W2516119221
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description: scientific article; zbMATH DE number 6953713