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Parametric stability investigations for hydro-statically loaded membranes
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
KTH, School of Engineering Sciences (SCI), Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-3716-8520
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-3875-927X
2016 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 174, 33-41 p.Article in journal (Refereed) Published
Abstract [en]

This paper discusses instabilities occurring 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. A hydro-static pressurization can give instabilities in the form 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. Numerical examples considering the pressurization of a flat and a cylindrical pre-stressed membrane illustrate some aspects of instability.

Place, publisher, year, edition, pages
2016. Vol. 174, 33-41 p.
Keyword [en]
Thin membranes, Hydro-static loading, Instability, Optimization, Axisymmetry-breaking
National Category
Computer Science
URN: urn:nbn:se:kth:diva-194258DOI: 10.1016/j.compstruc.2015.08.014ISI: 000384383200004ScopusID: 2-s2.0-84953257038OAI: diva2:1039557

QC 20161024

Available from: 2016-10-24 Created: 2016-10-21 Last updated: 2016-10-24Bibliographically approved

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