On the accuracy of the asymptotic theory for cylindrical shells

Frithiof Niordson; Christian Niordson

doi:10.1007/s004190050250

On the accuracy of the asymptotic theory for cylindrical shells

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Abstract

We study the accuracy of the lowest-order bending theory of shells, derived from an asymptotic expansion of the three-dimensional theory of elasticity, by comparing the results of this theory for a cylindrical shell with clamped ends with the results of a solution to the three-dimensional problem. The results are also compared with those of some commonly used engineering shell theories.

Original language	English
Journal	Archive of Applied Mechanics
Volume	69
Issue number	9-10
Pages (from-to)	677-689
ISSN	0939-1533
DOIs	https://doi.org/10.1007/s004190050250
Publication status	Published - 1999

Keywords

Shell theory
Cylindrical shell
Asymptotic expansion
Linear elasticity

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10.1007/s004190050250

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title = "On the accuracy of the asymptotic theory for cylindrical shells",

abstract = "We study the accuracy of the lowest-order bending theory of shells, derived from an asymptotic expansion of the three-dimensional theory of elasticity, by comparing the results of this theory for a cylindrical shell with clamped ends with the results of a solution to the three-dimensional problem. The results are also compared with those of some commonly used engineering shell theories.",

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AU - Niordson, Christian

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AB - We study the accuracy of the lowest-order bending theory of shells, derived from an asymptotic expansion of the three-dimensional theory of elasticity, by comparing the results of this theory for a cylindrical shell with clamped ends with the results of a solution to the three-dimensional problem. The results are also compared with those of some commonly used engineering shell theories.

KW - Shell theory

KW - Cylindrical shell

KW - Asymptotic expansion

KW - Linear elasticity

U2 - 10.1007/s004190050250

DO - 10.1007/s004190050250

M3 - Journal article

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VL - 69

SP - 677

EP - 689

JO - Archive of Applied Mechanics

JF - Archive of Applied Mechanics

IS - 9-10

ER -

On the accuracy of the asymptotic theory for cylindrical shells

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