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Buckling of a thin spherical shell inside a spherical cavity of a contracting massive body

Authors
  • Buyakov, I. A.1
  • Berezkin, V. A.1
  • 1 Central Research Institute of Machine Building, Korolev, Russia , Korolev (Russia)
Type
Published Article
Journal
Journal of Machinery Manufacture and Reliability
Publisher
Allerton Press
Publication Date
Sep 01, 2014
Volume
43
Issue
5
Pages
358–360
Identifiers
DOI: 10.3103/S1052618814050033
Source
Springer Nature
Keywords
License
Yellow

Abstract

The problem of buckling of a thin elastic spherical shell inside a spherical cavity of uniformly contracting massive body is considered. This problem arises, for example, when designing pressure vessels made of composite materials with a thin metal cap layer. It is assumed that at the beginning of the compression the shell fits tightly against the wall of the cavity (to the rigid frame). An algorithm for searching the equilibrium state of the shell in the supercritical state is described. As a result of solving the problem, among other things, critical values of compressive strain and shell configuration in the supercritical state were obtained.

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