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

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 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 bu...

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S.G. O'Keeffe More by this author
D.E. Moulton More by this author
S.L. Waters More by this author
A. Goriely More by this author
Publication date:
2013
URN:
uuid:65078186-a4fa-426a-abe1-bc17acc05961
Local pid:
oai:eprints.maths.ox.ac.uk:1722

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