ENGLISH

Bendings of surfaces and stability of shells

By A V Pogorelov

Book information

Publisher
American Mathematical Society
Year
1988
ISBN
082184525X, 9780821845257
LCC
TA660.S5 P58813 1988
Open Library ID
OL2046400M
Language
english
Format
DJVU
Filesize
520 kB (532510 bytes)
Series
Translations of mathematical monographs 72
Pages
81\81
Topic
Physics
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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.

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