Katifori, EleniAlben, SilasNelson, David2012-01-242009Katifori, Eleni, Silas Alben, and David R. Nelson. 2009. Collapse and folding of pressurized rings in two dimensions. Physical Review E 79(5): 056604.1539-3755http://nrs.harvard.edu/urn-3:HUL.InstRepos:8015809Hydrostatically 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.en-USCollapse and Folding of Pressurized Rings in Two DimensionsJournal Article2012-01-2410.1103/PhysRevE.79.056604