Bifurcation in Rotating Bodies Rabier, Patrick and Oden, J. Tinsley

Rabier, Patrick J.; Oden, J.Tinsley

ISBN 10: 3540515518 / ISBN 13: 9783540515517

Published by Springer, 1990

About this Item

Springer-Verlag, 1989, in-8 broché, 148 pages. Couverture en bel état. Intérieur frais. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l?intérieur de l?ouvrage. [BT9].

Seller Inventory # 1217SU2UK1N

Bibliographic Details

• Title: Bifurcation in Rotating Bodies Rabier, Patrick and Oden, J. Tinsley
• Publisher: Springer
• Publication Date: 1990
• Language: English
• ISBN 10: 3540515518
• ISBN 13: 9783540515517
• Binding: Mar 01, 1990
• Condition: Used: Acceptable

About this title

Synopsis

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.