Advertisement

Mechanics of Time-Dependent Materials

, Volume 19, Issue 2, pp 187–208 | Cite as

Viscoplastic tearing of polyethylene thin film

  • Dezso Hegyi
  • Sergio PellegrinoEmail author
Article

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.

Keywords

Viscoelasticity Free volume model J-integral StratoFilm 

Notes

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.

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) CrossRefGoogle Scholar
  3. Brinson, H.F., Brinson, L.C.: Polymer Engineering Science and Viscoelasticity. Springer, Berlin (2008) CrossRefGoogle Scholar
  4. Brown, B., Lu, X.: A fundamental theory for slow crack growth in polyethylene. Polymer 36(3), 543–548 (1995) CrossRefGoogle Scholar
  5. Bruler, O.S.: The energy balance of a viscoelastic material. Int. J. Polym. Mater. 2, 137–148 (1973) CrossRefGoogle 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) CrossRefGoogle 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) zbMATHMathSciNetCrossRefGoogle Scholar
  10. Crochet, M.J.: Symmetric deformations of viscoelastic-plastic cylinders. J. Appl. Mech. 327–334 (1966) Google Scholar
  11. Ferry, J.D.: Viscoelastic Properties of Polymers, 3rd edn. Wiley, New York (1980) Google Scholar
  12. Flugge, W.: Viscoelasticity. Springer, New York (1975) CrossRefGoogle 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) zbMATHCrossRefGoogle 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) CrossRefGoogle Scholar
  16. Kwok, K.: Mechanics of viscoelastic thin-walled structures. PhD thesis, Caltech (2012) Google Scholar
  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) zbMATHCrossRefGoogle Scholar
  19. Li, J., Kwok, K., Pellegrino, S.: Large-strain thermoviscoelastic models for polyethylene thin films. Mech. Time-Depend. Mater. (2015, submitted) Google Scholar
  20. Naghdi, P.M., Murch, S.A.: On the mechanical behavior of viscoelastic/plastic solids. J. Appl. Mech. 321–328 (1963) Google Scholar
  21. Rand, J.L.: An improved constitutive equation for SF420. Winzen Engineering (2008) Google Scholar
  22. Rand, J.L., Wakefield, D.: Studies of thin film nonlinear viscoelasticity for superpressure balloons. Adv. Space Res. 45, 56–60 (2010) CrossRefGoogle 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) zbMATHCrossRefGoogle 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) CrossRefGoogle 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) CrossRefGoogle Scholar
  27. Young, L.: CTE curve fitting data. NASA Balloon Program Office Report (2010) Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Department of Mechanics, Materials and StructuresBudapest University of Technology and EconomicsBudapestHungary
  2. 2.Graduate Aerospace LaboratoriesCalifornia Institute of TechnologyPasadenaUSA

Personalised recommendations