Instabilities in pressurized membranes
2014 (English)In: Civil-Comp Proceedings, ISSN 1759-3433, Vol. 106Article in journal (Refereed) PublishedText
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
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
IdentifiersURN: urn:nbn:se:kth:diva-187591ScopusID: 2-s2.0-84963542386OAI: oai:DiVA.org:kth-187591DiVA: diva2:935488
QC 201606102016-06-102016-05-252016-06-10Bibliographically approved