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A continuum model for entangled fibres

Abstract:

Motivated by the study of fibre dynamics in the carding machine, a continuum model for the motion of a medium composed of fibres is derived under the assumption that the dominant forces are due to fibre-fibre interactions and that the material is in tension. To characterise the material we include the averaged values of density and velocity and introduce variables to describe the mean direction, alignment and entanglement. We assume that the bulk stress of the material depends on the density,...

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M. E. M. Lee More by this author
H. Ockendon More by this author
Publication date:
2005-05-23
URN:
uuid:de170b6f-4ab0-41a0-9764-f527ffe9d43f
Local pid:
oai:eprints.maths.ox.ac.uk:280

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