This article is cited in 1 paper

Model of bending of a hydrostatically compressed shell near its stability threshold

V. V. Kiselev, D. V. Dolgikh

Institute of Metal Physics, Ural Division, Russian Academy of Sciences, Ekaterinburg, 620219

Abstract: A simplified model of bending dynamics of a hydrostatically compressed thin shell near the threshold of stability of its form is constructed within the framework of the nonlinear theory of elasticity. Conditions of existence and explicit expressions for spatially localized perturbations and patterns composed of dents on the shell surface, which are “precursors” of subsequent changes in the shell form, are found.

Keywords: shell, nonlinear elasticity, stability, soliton.

UDC: 539.3:534.113

Received: 17.10.2006
Accepted: 08.12.2006

 English version: Journal of Applied Mechanics and Technical Physics, 2007, 48:6, 878–886

Bibliographic databases:

•