Bifurcation in Rotating Bodies (Recherches en Mathématiques Appliquées, Band 11) - Softcover

Rabier, Patrick J.; Oden, J.Tinsley

Softcover

ISBN 10: 3540515518 ISBN 13: 9783540515517

Verlag: Springer, 1990

Inhaltsangabe

This monograph is a mathematical study of steady-state motions of a spinning hyperelastic incompressible, homogenous and isotropic cylinder. So far there was very little quantitative information on this subject and no mathematical analysis. The authors developed mathematical tools that are not standard in this kind of bifurcation problems. Qualitative results independent of the stress-strain relation are obtained that are consistent with physical experiments. These phenomena are shown to be related to mathematical bifurcation. The spectral analysis is accomplished by a new method that combines techniques of the modern theory of partial differential equations and abstract functional analysis with Fourier decomposition and sharper results on Bessel functions. These techniques represent in their own right a contribution that will find application not only in the study of rotating bodies, but in other physical situations that can be characterized by non-compact bifurcation.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1990
• Sprache: Englisch
• ISBN 10: 3540515518
• ISBN 13: 9783540515517
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 157
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland