**Translations of Mathematical Monographs**

1988;
77 pp;
Hardcover

MSC: Primary 74;
Secondary 53; 58

**Print ISBN: 978-0-8218-4525-7
Product Code: MMONO/72**

List Price: $41.00

Individual Member Price: $32.80

# Bendings of Surfaces and Stability of Shells

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*A V Pogorelov*

This book contains an accessible exposition of the geometric theory of
stability of elastic shells, starting from the basic facts of the theory of
finite and infinitesimal bendings of surfaces. The author has included a
number of new results obtained in recent years. In particular, the complete
solution of the problem of stability of spherical shells under an external
pressure is contained here without any assumptions regarding the character of
buckling.

Within the framework of the mathematical model of the phenomenon, the
author gives a complete investigation of the loss of stability of a general,
strictly convex shell fastened along an edge under external pressure. The
author considers the question of the loss of stability of cylindrical shells
under axial compression and the effect of various factors on the critical load,
among other questions. In contrast to the author's 1967 book on the subject,
this work is limited to a relatively small number of classical problems on the
loss of stability of shells, but these problems are investigated more
thoroughly.