Destruction of a thin-walled spherical vessel by internal pressure

Abstract

The problem of destruction of a thin-walled spherical vessel by increasing internal pressure is formulated. The matenal properties are descnbed both at the hardening stage and at the softening stage (prefracture stage). Based on the mathematical theory of catastrophes, the equations of equilibrium are written, and the critical value of pressure is determined when the vessel is destroyed. © 2020 American Institute of Physics Inc.. All rights reserved.