Abstract
In this paper some problems of finite elastic deformation of thin circular plates are studied. For the problem of a plate without bending stiffness subjected to lateral pressure p and a radial edge force fO, it is shown that there exists a unique solution for all fo>O (tension). In the case fO>O (compression), the solutions are not necessarily unique and branching of solutions takes place. The more complex problem of a plate with bending stiffness is briefly discussed for p = O and fO>O, generalizing a result of small finite deflection theory concerning branching of solutions near the classical buckling loads.
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Weinitschke, H.J. (1977). Verzweigungsprobleme bei Kreisförmigen Elastischen Platten. In: Bohl, E., Collatz, L., Hadeler, K.P. (eds) Numerik und Anwendungen von Eigenwertaufgaben und Verzweigungsproblemen. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’analyse Numérique, vol 38. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5579-2_10
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DOI: https://doi.org/10.1007/978-3-0348-5579-2_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-0938-1
Online ISBN: 978-3-0348-5579-2
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