O'Keeffe, S.G. and Moulton, D.E. and Waters, S.L. and Goriely, A. (2013) Growthinduced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix. International Journal of Nonlinear Mechanics . (Submitted)

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Abstract
We investigate the problem of an axiallyloaded, isotropic, slender cylinder embedded in a soft, isotropic, outer elastic matrix. The cylinder undergoes uniform axial growth, whilst both the cylinder and surrounding elastic matrix are confined between two rigid plates, so that this growth results in axial compression of the cylinder. We use two different modelling approaches to estimate the critical axial growth (that is, the amount of axial growth the cylinder is able to sustain before it buckles) and buckling wavelength of the cylinder. The first approach treats the filament and surrounding matrix as a single 3dimensional elastic body undergoing large deformations, whilst the second approach treats the filament as a planar, elastic rod embedded in an infinite elastic foundation. By comparing the results of these two approaches, we obtain an estimate of the foundation modulus parameter, which characterises the strength of the foundation, in terms of the geometric and material properties of the system.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1722 
Deposited By:  Peter Hudston 
Deposited On:  30 Jul 2013 13:14 
Last Modified:  29 May 2015 19:25 
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