Collapse and folding of pressurized rings in two dimensions

Eleni Katifori, Silas Alben, David R. Nelson
2009 Physical Review E  
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
more » ... itial post-buckling stages of the pressurized rings to determine possible ring folding patterns.
doi:10.1103/physreve.79.056604 pmid:19518579 fatcat:alk5do7hibd3dixycieoby2prm