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arXiv · 0812.2482

Collapse and folding of pressurized rings in two dimensions

Eleni Katifori·Silas Alben·David R. Nelson
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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.

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Eleni Katifori, Silas Alben, David R. Nelson. 2008-12-12. Collapse and folding of pressurized rings in two dimensions. https://doi.org/10.1103/physreve.79.056604

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