Viscoplastic tearing of polyethylene thin film

Abstract

Recent advances in noncontact strain measurement techniques and large-strain constitutive modeling of the linear low-density polyethylene film used in NASA superpressure balloons StratoFilm 420 are combined to provide a novel measurement technique for the tear propagation critical value of the J-integral. Previously these measurements required complex test configurations and procedures. It is found that the critical value of the J-integral increases by approximately 50 % when the strain rate is decreased from 1.33×10−4 s−1 to 1.33×10−5 s−1. It is shown that there is good correlation between measurements made on uniaxially loaded dogbone samples and circular diaphragms loaded by pressure, both with a 2-mm-wide slit in the middle. This result indicates that more extensive studies of strain-rate dependence may be made with the simpler, uniaxial test configuration.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

References

  1. Begley, J.A., Landes, J.D.: The J integral as a fracture criterion. ASTM STM 515, 1–23 (1972)

    Google Scholar 

  2. Brinson, H.F.: Matrix dominated time dependent failure prediction in polymer matrix composites. Compos. Struct. 47, 445–456 (1999)

    Article  Google Scholar 

  3. Brinson, H.F., Brinson, L.C.: Polymer Engineering Science and Viscoelasticity. Springer, Berlin (2008)

    Book  Google Scholar 

  4. Brown, B., Lu, X.: A fundamental theory for slow crack growth in polyethylene. Polymer 36(3), 543–548 (1995)

    Article  Google Scholar 

  5. Bruler, O.S.: The energy balance of a viscoelastic material. Int. J. Polym. Mater. 2, 137–148 (1973)

    Article  Google Scholar 

  6. Bruler, O.S.: The energy balance of a viscoelastic material. Int. J. Polym. Mater. 21(3), 145–150 (1981)

    Google Scholar 

  7. Chan, W.Y.F., Williams, J.G.: Determination of the fracture toughness of polymeric films by the essential work method. Polymer 35(8), 1666–1672 (1994)

    Article  Google Scholar 

  8. Christensen, R.M.: Theory of Viscoelasticity: An Introduction, 2nd edn. Academic Press, New York (1982)

    Google Scholar 

  9. Coleman, B.D., Noll, W.: Foundations of linear viscoelasticity. Rev. Mod. Phys. 33, 239–249 (1961)

    MATH  MathSciNet  Article  Google Scholar 

  10. Crochet, M.J.: Symmetric deformations of viscoelastic-plastic cylinders. J. Appl. Mech. 327–334 (1966)

  11. Ferry, J.D.: Viscoelastic Properties of Polymers, 3rd edn. Wiley, New York (1980)

    Google Scholar 

  12. Flugge, W.: Viscoelasticity. Springer, New York (1975)

    Book  Google Scholar 

  13. Knauss, W.: Time dependent fracture of polymers. In: Advances in Fracture Research: Proceedings of the 7th International Conference on Fracture (ICF-7), Houston, Texas, 20–24 March 1989. International Series on the Strength and Fracture of Materials and Structures, vol. 4, pp. 2683–2711. Pergamon Press, New York (1989)

    Google Scholar 

  14. Knauss, W.G., Emri, I.J.: Nonlinear viscoelasticity based on free volume consideration. Comput. Struct. 13, 123–128 (1981)

    MATH  Article  Google Scholar 

  15. Knauss, W.G., Emri, I.J.: Volume change and the nonlinearly thermo-viscoelastic constitution of polymers. Polym. Eng. Sci. 27, 86–100 (1987)

    Article  Google Scholar 

  16. Kwok, K.: Mechanics of viscoelastic thin-walled structures. PhD thesis, Caltech (2012)

  17. Kwok, K., Pellegrino, S.: Large strain viscoelastic model for balloon film. In: 11th AIAA ATIO Conference, Virginia Beach, 20–22 September 2011, AIAA-2011-6939 (2011)

    Google Scholar 

  18. Lai, J., Bakker, A.: 3-d Schapery representation for nonlinear viscoelasticity and finite element implementation. Comput. Mech. 18, 182–191 (1996)

    MATH  Article  Google Scholar 

  19. Li, J., Kwok, K., Pellegrino, S.: Large-strain thermoviscoelastic models for polyethylene thin films. Mech. Time-Depend. Mater. (2015, submitted)

  20. Naghdi, P.M., Murch, S.A.: On the mechanical behavior of viscoelastic/plastic solids. J. Appl. Mech. 321–328 (1963)

  21. Rand, J.L.: An improved constitutive equation for SF420. Winzen Engineering (2008)

  22. Rand, J.L., Wakefield, D.: Studies of thin film nonlinear viscoelasticity for superpressure balloons. Adv. Space Res. 45, 56–60 (2010)

    Article  Google Scholar 

  23. Rice, J.R., Rosengren, G.F.: Plane strain deformation near a crack tip in a power-law hardening material. J. Mech. Phys. Solids 16, 1–12 (1968)

    MATH  Article  Google Scholar 

  24. Sutton, M.A., Orteu, J.J., Schreier, H.W.: Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications. Springer, Berlin (2009)

    Google Scholar 

  25. Tielking, J.T.: A fracture toughness test for polymer film. Polym. Test. 12, 207–220 (1993)

    Article  Google Scholar 

  26. Williams, M.L., Landel, R.F., Ferry, J.D.: The temperature dependence of relaxation mechanisms of amorphous polymers and other glass-forming liquids. J. Am. Chem. Soc. 77, 3701–3707 (1955)

    Article  Google Scholar 

  27. Young, L.: CTE curve fitting data. NASA Balloon Program Office Report (2010)

Download references

Acknowledgements

We thank Prof. Wolfgang Knauss, Dr. Kawai Kwok, and Dr. Jun Li for helpful comments and advice. DH research at the California Institute of Technology was supported by an Imre Koranyi Civil Engineering Fellowship from the Thomas Cholnoky Foundation. Financial support from the NASA Balloon Research Program is gratefully acknowledged.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Sergio Pellegrino.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Hegyi, D., Pellegrino, S. Viscoplastic tearing of polyethylene thin film. Mech Time-Depend Mater 19, 187–208 (2015). https://doi.org/10.1007/s11043-015-9259-7

Download citation

Keywords

  • Viscoelasticity
  • Free volume model
  • J-integral
  • StratoFilm