Geometric Method for Stability of Non-Linear Elastic Thin Shells - Couverture souple

Ivanova, Jordanka

 
9781461355908: Geometric Method for Stability of Non-Linear Elastic Thin Shells

Synopsis

PREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. The present book is intended to assist and encourage the researches in this field to apply the geometric method and the related results to everyday engineering practice.

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Autres éditions populaires du même titre

9780792375241: Geometric Method for Stability of Non-Linear Elastic Thin Shells

Edition présentée

ISBN 10 :  0792375246 ISBN 13 :  9780792375241
Editeur : Kluwer Academic Publishers, 2001
Couverture rigide