Round flat membrane at great deformations

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Translated title of the contributionКруглая плоская мембрана при больших деформациях
Original languageEnglish
Pages (from-to)3152-3155
Number of pages4
JournalJournal of Engineering and Applied Sciences
Issue number12
StatePublished - 1 Jan 2017

Scopus subject areas

  • Engineering(all)


  • Elastic potential
  • Elastomers
  • Membrane
  • Strain
  • Stress

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