Analytical solutions of coupled functionally graded conical shells of revolution

Abstract: In this article, axisymmetric deformations of coupled functionally graded conical shells are studied. The analytical solution is presented by using the complex hypergeometric and Legendre polynomial series. The presented results agree closely with reference results for isotropic conical shells of revolution. The symbolic package Mathematica commands is added to the article to help readers search for particular solutions. The detailed solutions to two problems are discussed, i.e. the shells subjected to axisymmetric pressure or to edge loadings. The influence of material property effects is characterized by a multiplier characterizing an unsymmetric shell wall construction (stiffness coupling). The results can be easily adopted in design procedures.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Analytical solutions of coupled functionally graded conical shells of revolution ; volume:30 ; number:1 ; year:2023 ; extent:11
Science and engineering of composite materials ; 30, Heft 1 (2023) (gesamt 11)

Creator
Muc, Aleksander
Muc-Wierzgoń, Małgorzata

DOI
10.1515/secm-2022-0183
URN
urn:nbn:de:101:1-2023041414022419226394
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:52 AM CEST

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Associated

  • Muc, Aleksander
  • Muc-Wierzgoń, Małgorzata

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