Collapse and folding of pressurized rings in two dimensions

Abstract

Hydrostatically pressurized circular rings confined to two dimensions (or cylinders constrained to have only z-independent deformations) undergo Euler type buckling when the outside pressure exceeds a critical value. We perform a stability analysis of rings with arc-length dependent bending moduli and determine how weakened bending modulus segments affect the buckling critical pressure. Rings with a 4-fold symmetric modulation are particularly susceptible to collapse. In addition we study the initial post-buckling stages of the pressurized rings to determine possible ring folding patterns.

References in corpus (2)

• Smoothening Transition of a Two-Dimensional Pressurized Polymer Ring
• Phase Transitions in Pressurised Semiflexible Polymer Rings

Cited by in corpus (6)

• Statistical mechanics of thin spherical shells
• Volume changes during active shape fluctuations in cells
• Packing of elastic rings with friction
• Pressure-driven wrinkling of soft inner-lined tubes
• Elastic fingering in a rotating Hele-Shaw cell
• Stability and buckling of flat circular configurations of closed, intrinsically nonrectilinear filaments spanned by fluid films