Geometric Method for Stability of Non-Linear Elastic Thin Shells (Paperback, Softcover reprint of the original 1st ed. 2002)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Release date:	August 2014
First published:	2002
Authors:	Jordanka Ivanova • Franco Pastrone
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	244
Edition:	Softcover reprint of the original 1st ed. 2002
ISBN-13:	978-1-4613-5590-8
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	1-4613-5590-7
Barcode:	9781461355908

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