4. Conclusion

The self-contact via inter-strand and axial total pressures in multi-ply yarns has been considered and provides a basis for studying related yarn and fabric structural properties, e.g., yarn bulk, fiber migration and pilling.

References

1)     Fuller, F.B., 1978. Decomposition of the Linking of a Closed Ribbon: A Problem from Molecular Biology, Proc. Nat. Acad. Sci. USA 75, 3557- 3561.

2)    Neukirch, S. and van der Heijden, G.H.M., (2002), Geometry and mechanics of uniform n-plies: from engineering ropes to biological filaments, J. Elasticity 69, 41-72.

3)    Tran, C.D., Phillips, D.G. and van der Heijden G.H.D., (2006a), Issues in Processing Unstable Twisted Fibre Assemblies, in the 4th International Simulation Conference, pp. 325-329. The European Technology Institute and The European Simulation Society, Palermo, Italia.

4)    Tran, C.D., van der Heijden, G.H.M. and Phillips D.G., (2006b), Application of Topological Conservation to model Key Features of Zero-torque Multi-ply Yarns, submitted, J. Text. Inst.

5)    Van der Heijden, G.H.M., Neukirch, S., Goss, V.G.A. and Thompson, J.M.T., (2003), Instability and self-contact phenomena in the writhing of clamped rods, Int. J. Mech. Sci. 45, 161-196.

About the Authors:

The authors are associated with CSIRO Textile and Fibre Technology, Australia and Centre for Nonlinear Dynamics, Civil Engineering Building, UCL, London, UK.

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