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Geometric Method for Stability of Non-Linear Elastic Thin Shells (Hardcover, 2002 ed.)
Loot Price: R3,084
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Geometric Method for Stability of Non-Linear Elastic Thin Shells (Hardcover, 2002 ed.)
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This book 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
explicityly the asymptotic formulas for the upper and lower
critical loads. The geometric method by Pogorelov is one of the
most importanty analytical methods developed during the last
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. The present 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 post-graduate students in
structural engineering and applied mathematics, and as a revference
monograph for academic and industrial researchers.
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