Circumferential buckling instability of a growing cylindrical tube
Circumferential buckling instability of a growing cylindrical tube
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DOI：
10.1016/j.jmps.2011.01.005
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发表时间：
2011-03-01
影响因子：
5.3
通讯作者：
Goriely, A.
中科院分区：
文献类型：
--
作者：
Moulton, D. E.;Goriely, A.
圆柱形弹性管在均匀径向外压作用下，在临界压力下会发生周向屈曲，形成非圆截面。屈曲表示管的内边缘或外边缘的不稳定性。这是生物组织中的常见现象，其中它被称为粘膜折叠。在这里，我们研究这种屈曲不稳定性在一个不断增长的弹性管。由于生长引起的厚度变化对临界压力和屈曲模式的周向屈曲都有显著影响。我们考虑单层和双层管和多个边界条件。我们强调几何效应之间的竞争，即在管尺寸的变化，和机械效应，即残余应力的影响，由于差异增长。这种竞争可能导致非直观的结果，例如管变得更薄，但在更高的压力下弯曲。(C)2011爱思唯尔有限公司版权所有。
A cylindrical elastic tube under uniform radial external pressure will buckle circumferentially to a non-circular cross-section at a critical pressure. The buckling represents an instability of the inner or outer edge of the tube. This is a common phenomenon in biological tissues, where it is referred to as mucosal folding. Here, we investigate this buckling instability in a growing elastic tube. A change in thickness due to growth can have a dramatic impact on circumferential buckling, both in the critical pressure and the buckling pattern. We consider both single- and bi-layer tubes and multiple boundary conditions. We highlight the competition between geometric effects, i.e. the change in tube dimensions, and mechanical effects, i.e. the effect of residual stress, due to differential growth. This competition can lead to non-intuitive results, such as a tube growing to be thinner and yet buckle at a higher pressure. (C) 2011 Elsevier Ltd. All rights reserved.