Moulton, D. E. and Goriely, A. (2010) Circumferential buckling instability of a growing cylindrical tube. Journal of the Mechanics and Physics of Solids . (Submitted)

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Abstract
A cylindrical elastic tube under uniform radial pressure will buckle circumferentially to a noncircular 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 bilayer 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 nonintuitive results, such as a tube growing to be thicker and yet buckle at a lower pressure.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1006 
Deposited By:  Peter Hudston 
Deposited On:  28 Oct 2010 13:39 
Last Modified:  29 May 2015 18:41 
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