Skip to main content
Log in

Application of the crack layer theory to modeling of slow crack growth in polyethylene

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

A crack and a domain of highly fibrillated and stretched material ahead of the crack (process zone), commonly observed in polyethylene, are considered as a system called the crack layer. Slow crack layer growth is assumed to be a result of interactions between the crack, process zone and the rest of the body, as well as of degradation of the process zone material. The energy balance for process zone formation and crack layer advance is presented. The equations governing crack layer propagation are formulated and numerically solved. The proposed mechanism of fracture process models the discontinuous crack growth often observed in polyethylene, and predicts the relationship between the crack growth rate and the stress intensity factor consistent with the experimental one. The dependence of the lifetime on load is discussed.

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

  • Barenblatt, G.I. (1962). The mathematical theory of equilibrium of cracks in brittle fracture. Advances in Applied Mechanics 7, Academic Press 55–129.

    Google Scholar 

  • Beech, S.H., Channell, A.D. and Rose, L.J. (1995). Slow crack growth performance assessment in polyethylene. 14th International Plastic Fuel Gas Pipe Symposium, 216–225.

  • Chan, M.K. and Williams, J.G. (1983). Slow stable crack growth in high density polyethylene. Polymer 24, 234–244.

    Article  Google Scholar 

  • Chudnovsky, A. and Moet, A. (1981a). A theory of crack layer propagation in polymers. ACS National Meeting, New York, 607–616.

  • Chudnovsky, A. and Moet, A. (1981b). Application of the crack layer theory of fatigue crack propagation in polymers. ACS National Meeting, New York, 617–621.

  • Dugdale, D.S. (1960). Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 8, 100–104.

    Article  ADS  Google Scholar 

  • Herzberg, R.W. and Manson, J. (1980). Fracture of Engineering Plastics, Academic Press.

  • Irwin, G.R. (1957). Analysis of stress and strain near the end of a crack traversing a plate. Journal of Applied Mechanics 24, 361–364.

    Google Scholar 

  • Kadota, K. and Chudnovsky, A. (1991). Analysis of the fatigue process zone in polyethylene. Proceedings of ASME Winter Annual Meeting, MD-29, 101–114.

    Google Scholar 

  • Kadota, K. and Chudnovsky, A. (1992c). Constitutive equations of crack layer growth. Polymer Engineering and Science 32, 1097–1104.

    Article  Google Scholar 

  • Kostrov, B.V., Nikitin, L.V. and Flitman, L.M. (1969). The mechanics of brittle fracture. Izvestia AN SSSR, Mekhanika Tverdogo Tela 4(3), 122–125 (English version).

    Google Scholar 

  • Knauss, W.G. and Dietmann, H. (1970). Crack propagation under variable load histories in linearly viscoelastic solids. International Journal of Engineering Science 8, 643–656.

    Article  Google Scholar 

  • Knauss, W.G. and Losi, G.U. (1993). Crack propagation in a nonlinearly viscoelastic solid with relevance to adhesive bond failure. Journal of Applied Mechanics 60, 793–801.

    Google Scholar 

  • Lu, X. and Brown, N. (1990). The ductile-brittle transition in a polyethylene copolymer. Journal of Materials Science 25, 29–34.

    Article  ADS  Google Scholar 

  • Lu, X. and Brown, N. (1991). Unification of ductile failure and slow crack growth in a ethylene-octene copolymer. Journal of Materials Science 26, 612–620.

    Article  ADS  Google Scholar 

  • Lu, X., Qian, R. and Brown, N. (1991). Discontinuous crack growth in polyethylene under a constant load. Journal of Materials Science 26, 917–924.

    Google Scholar 

  • Popelar, C.F. Popelar, C.H. and Kenner, V.H. (1990). Viscoelastic material characterization and modeling for polyethylene. Polymer Engineering and Science 30, 578–586.

    Article  Google Scholar 

  • Popelar, C.H., Kenner, V.H. and Wooster, J. P. (1991). An accelerated method for establishing the long term performance of polyethylene gas pipe materials. Polymer Engineering and Science 31, 1693–1700.

    Article  Google Scholar 

  • Rose, L.J., Channell, A.D., Frye, C.J. and Capaccio, G. (1994). Slow crack growth in polyethylene: A novel predictive model based on the creep of craze fibrils. Journal of Applied Polymer Science 54, 2119–2124.

    Article  Google Scholar 

  • Schapery, R.A. (1975). A theory of crack initiation and growth in viscoelastic media. International Journal of Fracture 11, 141–158, 369–387, 549–562.

    Article  Google Scholar 

  • Schirrer, R., Le Masson, J., Tomatis, B. and Lang, R. (1984). The disentanglement time of the craze fibrils under cyclic loading. Polymer Engineering and Science 24, 820–824.

    Article  Google Scholar 

  • Stojimirovic, A. and Chudnovsky, A. (1992a). A new thermodynamic model for a process zone in polymers. International Journal of Fracture 57, 281–289.

    Google Scholar 

  • Slepyan, L.I. (1990). Mechanics of Cracks, Sudostroenie (in Russian).

  • Stojimirovic, A., Kadota, K. and Chudnovsky, A. (1992b). An equilibrium process zone in polymeric materials. Journal of Applied Polymer Science 46, 1051–1056.

    Article  Google Scholar 

  • Tam, E.P. and Martin, G.C. (1984–85). Fatique models for glassy polymers. Journal of Macromolecular Science-Physics B 23(4–6) 415–433.

    Google Scholar 

  • Ungsuwarungsri, T. and Knauss, W.G. (1988). A nonlinear analysis of an equilibrium crack. Journal of Applied Mechanics 55, 44–51, 52–58.

    Article  Google Scholar 

  • Williams, J.G. (1984). Fracture Mechanics of Polymers, Ellis Horwood Lim.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chudnovsky, A., Shulkin, Y. Application of the crack layer theory to modeling of slow crack growth in polyethylene. International Journal of Fracture 97, 83–102 (1999). https://doi.org/10.1023/A:1018683624720

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018683624720

Navigation