Skip to main content
Log in

A mechanical model of overnight hair curling

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract

Based on the observation of overnight hair curling procedure, we establish a mechanical model to describe the temporary wave formation of straight hair (initial curvature is zero), which incorporates the contact between hair and hair roller. Systematic studies are carried out to explore the effects of radius ratio between hair and hair roller, hair’s average axial strain, creep time, Poisson’s ratio and gravity on the curl retention. The variation of curl retention with respect to time obtained from our numerical model is validated by a simple theoretical model and by overnight curling experiments on hair samples. The results of simulation show that overnight hair curling is suitable to create a wavy hairstyle within about 7 hours, while the combined usage with hair fixatives enables a wavy hairstyle with desired curvature that lasts for a day or more.

Graphical abstract

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. Bolduc, J. Shapiro, Clin. Dermatol. 19, 431 (2001).

    Article  Google Scholar 

  2. V.A. Gant, patent 2643375 (23 June 1953).

  3. R.L. Rick, P.F. Mazzotta, C.D. Daiello, patent 4342323 (3 August 1982).

  4. P. Zuidema, L.E. Govaert, F.P.T. Baaijens, P.A.J. Ackermans, S. Asvadi, Biorheology 40, 431 (2003).

    Google Scholar 

  5. I. Singh, J. Physiol. 92, 232 (1938).

    Article  Google Scholar 

  6. G. Susich, Text. Res. J. 23, 545 (1953).

    Article  Google Scholar 

  7. G. Nikiforidis, C. Balas, D. Tsambaos, Med. Biol. Eng. Comput. 30, 83 (1992).

    Article  Google Scholar 

  8. F.-J. Wortmann, Colloid Polym. Sci. 265, 126 (1987).

    Article  Google Scholar 

  9. M.L. Forrest, patent 5411040 (2 May 1995).

  10. F.J. Wortmann, N. Kure, J. Soc. Cosmet. Chem. 41, 123 (1990).

    Google Scholar 

  11. F.J. Wortmann, M. Stapels, L. Chandra, J. Appl. Polym. Sci. 113, 3336 (2009).

    Article  Google Scholar 

  12. J.T. Miller, A. Lazarus, B. Audoly, P.M. Reis, Phys. Rev. Lett. 112, 068103 (2014).

    Article  ADS  Google Scholar 

  13. B. Thiria, M. Adda-Bedia, Phys. Rev. Lett. 107, 025506 (2011).

    Article  ADS  Google Scholar 

  14. F. Lechenault, B. Thiria, M. Adda-Bedia, Phys. Rev. Lett. 112, 244301 (2014).

    Article  ADS  Google Scholar 

  15. C.M. Van Wyk, J. Text. Inst. Trans. 37, T285 (1946).

    Article  Google Scholar 

  16. R.E. Goldstein, P.B. Warren, R.C. Ball, Phys. Rev. Lett. 108, 078101 (2012).

    Article  ADS  Google Scholar 

  17. W. Oxenham, Br. Polym. J. 21, 279 (1989).

    Article  Google Scholar 

  18. F.-J. Wortmann, S. De Jong, J. Appl. Polym. Sci. 30, 2195 (1985).

    Article  Google Scholar 

  19. J.A. Swift, Int. J. Cosmet. Sci. 17, 245 (1995).

    Article  Google Scholar 

  20. Y.-C. Fung, Biomechanics (Springer, New York, 1993).

  21. B.M. Chapman, Rheol. Acta 14, 466 (1975).

    Article  Google Scholar 

  22. H.F. Brinson, L.C. Brinson, Polymer Engineering Science and Viscoelasticity (Springer, Boston, 2008). .

  23. X.H.X.F.B. Chen, Chin. J. Theor. Appl. Mech. 42, 65 (2010).

    Google Scholar 

  24. M. Leider, C. Buncke, AMA Arch. Dermatol. Syphilol. 69, 563 (1954).

    Article  Google Scholar 

  25. C.R. Robbins, Chemical and Physical Behavior of Human Hair (Springer, Berlin, Heidelberg, 2012).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xi Chen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xiao, H., Chen, X. A mechanical model of overnight hair curling. Eur. Phys. J. E 38, 95 (2015). https://doi.org/10.1140/epje/i2015-15095-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2015-15095-2

Keywords

Navigation