Collapse and folding of pressurized rings in two dimensions.
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.
Katifori
Eleni
E
Department of Physics, Harvard University, Cambridge, Massachussetts 02138, USA. ekatifori@mail.rockefeller.edu
Alben
Silas
S
Nelson
David R
DR