Geometric Method for Stability of Non-Linear Elastic Thin Shells

Franco Pastrone

ISBN 10: 0792375246 / ISBN 13: 9780792375241

Editore: Springer US, Springer, 2001

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9780792375241

Dati bibliografici

• Titolo: Geometric Method for Stability of Non-Linear Elastic Thin Shells
• Editore: Springer US, Springer
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 0792375246
• ISBN 13: 9780792375241
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 20 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 20 millimetri di profondità
• Peso: 571 grammi

Descrizione articolo

Riassunto

This title deals with the new developments and application of the geometric method to the nonlinear stability problem for thin non-elastic 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 explicitly the asymptotic formulas for the upper and lower critical loads. The geometric method by Pogorelov is one of the most important analytical methods developed during the 20th century. Its power consists in its ability to provide a clear geometric picture of the post critical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now, most of Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. This book is intended to assist and encourage the researchers in this field to apply the geometric method and the related results to everyday engineering practice. Further developments of the geometric method are carried out in this book and are directed to stability of thin shells in the case of elastic anisotropy, elastic anisotropy with linear memory and elasto-plastic properties of the shell material. This book is intended to serve both as a textbook for postgraduate students in structural engineering and applied mathematics, and as a reference monograph for academic and industrial researchers.

Contenuti

Preface. Acknowledgement. 1. Postcritical Deformations of Thin Anisotropic Shells. 2. Postcritical Deformations of Thin Elastic Anisotropic Shells with Linear Memory. 3. Variational Principle for Global Stability of Elasto-Plastic Thin Shells. 4. Instability of Thin Elastic and Elasto-Plastic Orthotropic Shells under Combined Static and Dynamic Loading. 5. Crushing of Plastic Cylindrical Shells Sensitive to the Strain Rate under Axial Impact. 6. Appendices. References. Index.