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The Use of the Zhurkov Equation to Describe Polymer Ageing Processes

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Ageing Studies and Lifetime Extension of Materials
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Abstract

The use of the Zhurkov equation to predict the durability of polymers is discussed. It is expected that it will be obeyed when failure is controlled by a single, stress-biased, thermally activated process (e.g. a chain scission event). The mechanisms of failure are therefore considered and conditions identified for which the Zhurkov equation is likely to apply. Crack growth through chain scission at the crack tip is considered and the effect of the stress concentration is analysed. Estimates for the activation energy (42kJ/mol) and the activation volume (0.35nm3) are derived from data obtained with polystyrene samples.

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References

  • Audouin,L,. DeBruijn,J.C.M., Langlois,V. and Verdu,J., 1994, Review: Role of oxygen diffusion in polymer ageing: kinetic and mechanical aspects. J Mater.Sci. 29: 569–583

    Article  CAS  Google Scholar 

  • Audouin,L., Gueguen,V., Tcharkhtchi, A. and Verdu,J., 1995, “Close loop” mechanistic schemes for hydrocarbon polymer oxidation. J.Polym.Sci.A:PolymerChem. 33: 921–927

    Article  CAS  Google Scholar 

  • Bueche,F., 1955, Tensile strength of plastics above the glass temperature. J Appl.Phys. 26: 1133–1140

    Article  CAS  Google Scholar 

  • Bueche,F., 1957, Tensile strength of plastics below the glass temperature. J Appl.Phys. 28: 784–787

    Article  CAS  Google Scholar 

  • Bueche,F., 1958, Tensile strength of plastics:effects of flaws and chain relaxation. J Appl.Phys. 29:1231–1234

    Article  CAS  Google Scholar 

  • Gillen,K.T., Wise,J. and Clough,R.L., 1995, General solution for the basic autooxidation scheme. Polym.Degrnd.Stab. 47: 149–161

    Article  CAS  Google Scholar 

  • Haworth,B. and White,J.R., 1981, Some measurements of internal stress and activation volume in acrylic polymers. J Mater.Sci. 16: 3263–3274

    Article  CAS  Google Scholar 

  • Kelly,C.T. and White, J.R., 1997, Photo-degradation of polyethylene and polypropylene at slow strain rate. Polym.Degrad.Stab. 56: 367–383

    Article  CAS  Google Scholar 

  • Krausz,A.S. and Eyring,H., 1975, Deformation Kinetics. Wiley-Intersci., New York

    Google Scholar 

  • Li Tong and White,J.R.,1996, Photo-oxidation of thermoplastics in bending and compression. Polym.Degrad.Stab. 53: 381–396

    Article  CAS  Google Scholar 

  • Magnus,R., 1991, Multilayer weathering of PVC. Kunststoffe German Plastics 81(12): 19–21 [Translation of Kunststoffe 81:1113-1117]

    Google Scholar 

  • Nabarro,F.R.N. and deVilliers,H.L., 1995, The Physics of Creep. Taylor and Francis, London

    Google Scholar 

  • O’Donnell,B. and White, J.R., 1994a, Stress-accelerated photo-oxidation of polypropylene and glass fibre-reinforced polypropylene. Polym.Degrad.Stab. 44: 211–222

    Article  Google Scholar 

  • O’Donnell,B. and White,J.R.,1994b, Photo-oxidation of polystyrene under load. J.Mater.Sci. 29: 3955–3963

    Article  Google Scholar 

  • Popov,A., Rapoport,N. and Zaikov,G., 1991, Oxidation of Stressed Polymers. Gordon and Breach, New York [Translation of Okislenie orientirovannykh i napriazhennykh polimerov. Khimiya Publishers, Moscow, 1987].

    Google Scholar 

  • Rabello,M.S. and White,J.R., 1996, Photodegradation of polypropylene mouldings containing weld lines: mechanical properties and surface cracking. Plast.Rubb.Compos.Process.Appl. 25: 237–248

    CAS  Google Scholar 

  • Rabello,M.S. and White,J.R., 1997a, The role of physical structure and morphology on the photodegradation behaviour of polypropylene mouldings. Polym.Degrad.Stab. 56: 55–73

    Article  CAS  Google Scholar 

  • Rabello,M.S. and White,J.R., 1997b, Photodegradation of polypropylene containing a nucleating agent. J.Appl.Polym.Sci. 64:2505–2517

    Article  CAS  Google Scholar 

  • Sherman,E.S., Rarn,A. and Kenig,S., 1982, Tensile failure of weathered polycarbonate. Polym.Eng.Sci. 22:457–465

    Article  CAS  Google Scholar 

  • Struik,L.C.E., 1978, Physical Aging in Amorphous Polymers and Other Materials. Elsevier, Amsterdam

    Google Scholar 

  • White,J.R. and Turnbull,A., 1994, Weathering of polymers: mechanisms of degradation and stabilization, testing strategies and modelling. J.Mater.Sci. 29: 584–613

    Article  CAS  Google Scholar 

  • Wise,J., Gillen,K.T. and Clough,R.L. 1997, Quantitative model for the time development of diffusion-limited oxidation profiles. Polymer. 38:1929–1944

    Article  CAS  Google Scholar 

  • Young,W.C., 1989, Roark’s Formulas for Stress and Strain. McGraw-Hill, New York

    Google Scholar 

  • Zhurkov,S.N., 1965, Kinetic concept of the strength of solids. Int.J.Fract.Mechs. 1: 311–323

    CAS  Google Scholar 

  • Zhurkov,S.N., Zakrevskyi,V.A., Korsukov,V.E. and Kuksenko,A-F., 1972, Mechanism of submicrocrack generation in stressed polymers. J.Polm.Sci.,A-2,Polymer Phys.Ed. 10 1509–1520

    Article  CAS  Google Scholar 

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White, J.R. (2001). The Use of the Zhurkov Equation to Describe Polymer Ageing Processes. In: Mallinson, L.G. (eds) Ageing Studies and Lifetime Extension of Materials. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1215-8_52

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  • DOI: https://doi.org/10.1007/978-1-4615-1215-8_52

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5444-4

  • Online ISBN: 978-1-4615-1215-8

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