title: 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 arclength-dependent bending moduli and determine how weakened bending modulus segments affect the buckling critical pressure. Rings with a fourfold symmetric modulation are particularly susceptible to collapse. In addition we study the initial postbuckling stages of the pressurized rings to determine possible ring folding patterns.
authors.affiliation: Department of Physics, Harvard University, Cambridge, Massachussetts 02138, USA. ekatifori@mail.rockefeller.edu
authors.forename: Eleni
authors.initials: E
authors.lastname: Katifori
authors.forename: Silas
authors.initials: S
authors.lastname: Alben
authors.forename: David R
authors.initials: DR
authors.lastname: Nelson