A Continuum Model for the Carding Machine

Lee, M. E.-M.; Ockendon, H.

doi:10.1007/978-3-662-04784-2_42

M. E.-M. Lee⁴ &
H. Ockendon⁴

Part of the book series: Mathematics in Industry ((TECMI,volume 1))

494 Accesses

Abstract

Motivated by study of fibre dynamics in the carding machine, a textiles manufacturing process, we derive a continuum model for a medium composed of entangled fibres. Extensional and shearing simulations produce promising comparisons with experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 129.00; Price excludes VAT (USA)

Softcover Book: USD 169.99; Price excludes VAT (USA)

Hardcover Book: USD 169.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

Ericksen, J. L. (1991), Liquid crystals with variable degree of orientation. Archive of Rational Mechanics and Analysis, 113, p92–120
Article MathSciNet Google Scholar
Hinch, E. J., Leal, L. G. (1975), Constitutive equations in suspension mechanics. Part 1. General formulation. Journal of Fluid Mechanics, 71 (3), p481–495
Article MathSciNet Google Scholar
Komori, T., Makishima, K. (1977), Estimation of fibre orientation and length in fiber assemblies, textile Research Journal, 47, p309–314
Google Scholar
Lang, S., Tate, J. L. (1965), The collected papers of Emil Artin, Addison-Wesley, p446–471
Google Scholar
Lee, M. E.-M. (2001), Mathematical models for the carding machine. DPhil Thesis, University of Oxford
Google Scholar
Spencer, A. J. M. (1972), Deformations of fibre-reinforced Materials. Oxford University Press
Google Scholar
Toll, S., Manson, J.-A. E. (1994), Dynamics of a planar concentrated fiber suspension with non-hydrodynamic interaction. Journal of Rheology, 38(4), July/August, p985–997
Google Scholar
Toll, S., Manson, J.-A. E. (1995), Elastic compression of a fiber network. Journal of Applied Mechanics, 62, March, p223–226
Google Scholar

Download references

Author information

Authors and Affiliations

Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, UK
M. E.-M. Lee & H. Ockendon

Authors

M. E.-M. Lee
View author publications
You can also search for this author in PubMed Google Scholar
H. Ockendon
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy
Angelo Marcello Anile
MIRIAM and Department of Mathematics, University of Milano, Via C. Saldini 50, 20133, Milano, Italy
Vincenzo Capasso
Department of Mathematics and its Applications, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy
Antonio Greco

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Lee, M.EM., Ockendon, H. (2002). A Continuum Model for the Carding Machine. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_42

Download citation

DOI: https://doi.org/10.1007/978-3-662-04784-2_42
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07647-3
Online ISBN: 978-3-662-04784-2
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics