Abstract

The problem of the extension in a circular membrane plane made of an isotropic elastic incompressible material is solved within the framework of thin shell nonlinear theory. The solution is represented in quadratures. An analytic solution is obtained for the Chernykh potential. It is shown that the solution can have a peculiarity at finite transverse dimensions of a deformed membrane.

Original languageEnglish
Pages (from-to)3152-3155
Number of pages4
JournalJournal of Engineering and Applied Sciences
Volume12
Issue number12
DOIs
Publication statusPublished - 1 Jan 2017

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Membranes

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  • Engineering(all)

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title = "Round flat membrane at great deformations",
abstract = "The problem of the extension in a circular membrane plane made of an isotropic elastic incompressible material is solved within the framework of thin shell nonlinear theory. The solution is represented in quadratures. An analytic solution is obtained for the Chernykh potential. It is shown that the solution can have a peculiarity at finite transverse dimensions of a deformed membrane.",
keywords = "Elastic potential, Elastomers, Membrane, Strain, Stress",
author = "Kolpak, {Eugeny Petrovich} and Kabrits, {Sergey Alexandrovich}",
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AU - Kabrits, Sergey Alexandrovich

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AB - The problem of the extension in a circular membrane plane made of an isotropic elastic incompressible material is solved within the framework of thin shell nonlinear theory. The solution is represented in quadratures. An analytic solution is obtained for the Chernykh potential. It is shown that the solution can have a peculiarity at finite transverse dimensions of a deformed membrane.

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KW - Elastomers

KW - Membrane

KW - Strain

KW - Stress

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