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

Abstract

UDC 539.3:534.113 V. V. Kiselev and D. V. Dolgikh 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.