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Instabilities in pressurized membranes
KTH, School of Engineering Sciences (SCI), Mechanics.
2014 (English)In: Civil-Comp Proceedings, ISSN 1759-3433, Vol. 106Article in journal (Refereed) PublishedText
Abstract [en]

This paper discusses instabilities occuring in thin pressurized membranes, important in biological as well as in engineering contexts. The membranes are represented by only their in-plane stress components, for which an incompressible isotropic hyper-elastic behavior can be assumed. The inherently non-linear response to pressurization can give instabilities in the forms of limit points with respect to a loading parameter, but also bifurcations and wrinkling. The hyper-elastic material model itself can also, under some circumstances, lead to a bifurcation situation. The instability situations can be included as constraints in a structural optimization. The paper discusses the formulation, the solution methods and some relevant instability situations. A numerical example considering the internal pressurization of a cylindrical pre-stressed membrane illustrates some aspects of instability.

Place, publisher, year, edition, pages
Civil-Comp Press , 2014. Vol. 106
Keyword [en]
Hydro-static loading, Instability, Optimization, Pressurization, Simulations, Thin membrane, Bifurcation (mathematics), Plasma stability, Stability, Structural optimization, Internal pressurization, Loading parameters, Non-linear response, Pressurized membrane, Solution methods, Static loading, Membranes
National Category
Mechanical Engineering
URN: urn:nbn:se:kth:diva-187591ScopusID: 2-s2.0-84963542386OAI: diva2:935488

QC 20160610

Available from: 2016-06-10 Created: 2016-05-25 Last updated: 2016-06-10Bibliographically approved

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