Abstract
Results for the nonlinear axisymmetric deformations of flat circular membranes and of spherical cap membranes subjected to a uniform pressure are presented. The emphasis of the study is on the effect of two different constitutive relations on the nature of the deformation when the membrane deforms into an approximate hemispherical shape.
Zusammenfassung
Ergebnisse für nichtlineare axialsymmetrische Deformationen bei ebenen Kreismembranen und sphärischen Haubenmembranen unter gleichförmigem Druck werden besprochen. Besondere Beachtung findet die Auswirkung zweier verschiedener Stoffbeziehungen auf die Natur der Verformung, wenn sich die Membran in die ungefähre Gestalt einer Halbkugel deformiert.
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Pujara, P., Lardner, T.J. Deformations of elastic membranes—Effect of different constitutive relations. Journal of Applied Mathematics and Physics (ZAMP) 29, 315–327 (1978). https://doi.org/10.1007/BF01601526
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DOI: https://doi.org/10.1007/BF01601526