Collapse and folding of pressurized rings in two dimensions.
Collapse and folding of pressurized rings in two dimensions.
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二维加压环的塌陷和折叠。
DOI：
10.1103/physreve.79.056604
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
D. Nelson
中科院分区：
文献类型：
--
作者：
E. Katifori;S. Alben;D. Nelson
当外部压力超过临界值时，被限制在二维空间内的静压环（或被限制只有与z无关的变形的圆柱体）会发生欧拉型屈曲。我们对具有弧长相关弯曲模量的环进行了稳定性分析，并确定了弯曲模量减弱的部分如何影响屈曲临界压力。具有四倍对称调制的环特别容易坍塌。此外，我们还研究了加压环的初始后屈曲阶段，以确定可能的环折叠模式。
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.