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

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 result...

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Những tác giả chính: O'Keeffe, S, Moulton, D, Waters, S, Goriely, A
Định dạng: Journal article
Được phát hành: 2013
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author O'Keeffe, S
Moulton, D
Waters, S
Goriely, A
author_facet O'Keeffe, S
Moulton, D
Waters, S
Goriely, A
author_sort O'Keeffe, S
collection OXFORD
description 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. © 2013 Elsevier Ltd. All rights reserved.
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spelling oxford-uuid:a7762a9c-d50f-4829-acf1-d12d0de268c12022-03-27T02:54:50ZGrowth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrixJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a7762a9c-d50f-4829-acf1-d12d0de268c1Symplectic Elements at Oxford2013O'Keeffe, SMoulton, DWaters, SGoriely, AWe 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. © 2013 Elsevier Ltd. All rights reserved.
spellingShingle O'Keeffe, S
Moulton, D
Waters, S
Goriely, A
Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
title Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
title_full Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
title_fullStr Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
title_full_unstemmed Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
title_short Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
title_sort growth induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
work_keys_str_mv AT okeeffes growthinducedaxialbucklingofaslenderelasticfilamentembeddedinanisotropicelasticmatrix
AT moultond growthinducedaxialbucklingofaslenderelasticfilamentembeddedinanisotropicelasticmatrix
AT waterss growthinducedaxialbucklingofaslenderelasticfilamentembeddedinanisotropicelasticmatrix
AT gorielya growthinducedaxialbucklingofaslenderelasticfilamentembeddedinanisotropicelasticmatrix