The Mathematical Institute, University of Oxford, Eprints Archive

Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix

O'Keeffe, S.G. and Moulton, D. E. and Waters, S. L. and Goriely, A. (2013) Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix. International Journal of Nonlinear Mechanics, 56 . pp. 94-104.

[img]
Preview
PDF
1MB

Abstract

We investigate the problem of an axially loaded, isotropic, slender cylinder embedded in a soft, isotropic, outer elastic matrix. The cylinder undergoes uniform axial growth, whilst both the cylinder and the 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 3-dimensional 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
Uncontrolled Keywords:Elasticity; Rod; Growth; Buckling
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:1827
Deposited By: Sara Jolliffe
Deposited On:29 Mar 2014 15:39
Last Modified:29 May 2015 19:31

Repository Staff Only: item control page