Skip to main content
Log in

A nonlinear continuum model of van der Waals interactions in crystalline polymers

  • Original Paper
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

A nonlinear continuum model of van der Waals interactions is established to relate the size-dependent nonlinear properties of crystalline polyethylene. The explicit formulas are derived from the Lennard-Jones potential function for the van der Waals force between any two polymer chains. The present results are in reasonable agreement with those from present united-atom molecular dynamics simulations. This work is a new effort to establish nonlinear analytical models of molecular mechanics for crystalline polymers, and it should be helpful to provide an efficient route for mechanical characterization of crystalline polymers and related materials.

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. Karasawa N., Dasgupta S., Goddard W.A. III: J. Phys. Chem. 95, 2260 (1991)

    Article  Google Scholar 

  2. Zhao J., Nagao S., Zhang Z.: J. Mater. Res. 25, 537 (2010)

    Article  Google Scholar 

  3. Nikolov S., Doghri I., Pierard O., Zealouk L., Goldberg A.: J. Mech. Phys. Solids 50, 2275 (2002)

    Article  MATH  Google Scholar 

  4. Vu-Bac N., Lahmer T., Keitel H., Zhao J., Zhuang X., Rabczuk T.: Mech. Mater. 68, 70 (2014)

    Article  Google Scholar 

  5. Vu-Bac N., Rafiee R., Zhuang X., Lahmer T., Rabczuk T.: Compos. Part B Eng. 68, 446 (2014)

    Article  Google Scholar 

  6. Vu-Bac N., Lahmer T., Zhang Y., Zhuang X., Rabczuk T.: Compos. Part B Eng. 59, 80 (2014)

    Article  Google Scholar 

  7. Chang T., Gao H.: J. Mech. Phys. Solids 51, 1059 (2003)

    Article  MATH  Google Scholar 

  8. Zhao J., Guo W., Zhang Z., Rabczuk T.: Appl. Phys. Lett. 99, 241902 (2011)

    Article  Google Scholar 

  9. Li H., Guo W.: J. Appl. Phys. 103, 103501 (2008)

    Article  Google Scholar 

  10. Zhao J., Guo W., Rabczuk T.: J. Appl. Phys. 112, 033516 (2012)

    Article  Google Scholar 

  11. Lennard-Jones J.E.: On the determination of molecular fields. Proc. R. Soc. Lond. A 106, 463 (1924)

    Article  Google Scholar 

  12. Waheed, N.: Molecular simulation of crystal growth in alkane and polyethylene melts. Ph.D. thesis. Cornell University, USA (2005)

  13. Shepherd, J.E.: Multiscale modeling of the deformation of semi-crystalline polymers. Ph.D. thesis. Georgia Institute of Technology, USA (2006)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Junhua Zhao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, J. A nonlinear continuum model of van der Waals interactions in crystalline polymers. Acta Mech 226, 3495–3499 (2015). https://doi.org/10.1007/s00707-015-1393-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-015-1393-4

Keywords

Navigation