Scaling relations in the collapse of elastic icosadeltahedral shells under uniform external pressure

TL;DR

This paper investigates the collapse behavior of elastic icosadeltahedral shells under uniform external pressure, revealing a universal collapse pressure curve governed by the Foppl-von Karman number, and interprets results through buckling instabilities.

Contribution

It introduces a universal collapse pressure relation for shells based on the Foppl-von Karman number, linking geometry and stability under pressure.

Findings

Collapse pressure follows a universal curve.

Foppl-von Karman number determines collapse point.

Buckling instabilities explain collapse mechanisms.

Abstract

We discuss collapse of icosadeltahedral shells subjected to uniform external pressure. We demonstrate that there is a universal collapse pressure curve. The parameter that uniquely determines the collapse pressure is shown to be the Foppl-von Karman number of the non-pressurized shells. Numerical results are interpreted in terms of buckling instabilities of spheres and cylinders under hydrostatic pressure.