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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Chapter 10

Stability Investigations for Pressurized Membranes and other Optimized Structures

A. Eriksson

KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden

Full Bibliographic Reference for this chapter
A. Eriksson, "Stability Investigations for Pressurized Membranes and other Optimized Structures", in J. Kruis, Y. Tsompanakis and B.H.V. Topping, (Editors), "Computational Techniques for Civil and Structural Engineering", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 10, pp 233-254, 2015. doi:10.4203/csets.38.10
Keywords: instability, large deflections, pressure load, simulations, parameter dependence, wrinkling.

Many classes of optimized structures can exhibit instability phenomena, related to large displacements, material effects, loading or contact conditions. Numerical treatment of these structures requires sophisticated simulation algorithms for the evaluation and interpretation of instabilities. This paper will discuss methods for such simulations, in a general finite element-based context. The paper will use as its main example the response of thin closed membranes to applied pressure loads, from gas or fluid. The special aspects of displacement-dependent loading on a flexible structure will be discussed, as will their consequences for stability conclusions. The main results will be formulated on how the stability conclusions depend on what is considered as the control variable for the load, where, for instance, gas pressure and injected gas amount will give different conclusions for balloon-like structures. Aspects will be given on the direct and indirect stability effects from wrinkling in the thin membrane material, and from contacts with external surfaces. Some aspects are given on how these effects can be described in the simulations.

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