Abstract
Fatigue lifetime of HDPE structures such as pipes is recognized to show a large scatter. This study aims to compare different statistical methods and distributions, in order to give convenient modeling of tensile and fatigue test results of commercially available polyethylene compression molded sheets. The median rank, the maximum likelihood and the Kolmogorov-Smirnov fitting are compared for the estimation of Weibull parameters. The choice of the best distribution to fit fatigue lifetime is discussed on the basis of the goodness-of-fit results. It is found that whether the three-parameter distributions of Weibull and lognormal types are suitable for lifetime prediction, the two-parameter Weibull is more conservative for probabilistic fatigue design.
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References
Krishnaswamy RK (2005) Analysis of ductile and brittle failures from creep rupture testing of high-density polyethylene (HDPE) pipes. Polymer 46(25):11664–11672
Pugno N, Ciavarella M, Cornetti P, Carpinteri A (2006) A generalized Paris’ law for fatigue crack growth. J Mech Phys Solids 54:1333–1349
Molent L, Jones R, Barter S, Pitt S (2006) Recent developments in fatigue crack growth assessment. Int J Fatigue 28(12):1759–1768
Schijve J (2005) Statistical distribution functions and fatigue of structures. Int J Fatigue 27:1031–1039
Zhou Y, Lu X, Zhou Z, Brown N (1996) The relative influence of molecular structure on brittle fracture by fatigue and under constant loads in polyethylene. Polym Eng Sci 36(16):2101–2107
Pinter G, Haager M, Balika W, Lang RW (2006) Cyclic crack growth tests with CRB specimens for the evaluation of the long-term performance of PE pipe grades. In: Polym testing
Favier V, Giroud T, Strijko E, Hiver JM, G’Sell C, Hellinckx S, Goldberg A (2002) Slow crack propagation in polyethylene under fatigue at controlled stress intensity. Polymer 43:1375–1382
Ward AL, Lu X, Brown N (1990) Accelerated test for evaluating slow crack growth of polyethylene copolymers in Igepal and air. Polym Eng Sci 30(18):1175–1179
Kasakevich ML, Moet A (1990) Comparative crack layer analysis of fatigue and creep crack propagation in high density polyethylene. Polymer 31(3):435–439
Parsons M, Stepanov EV, Hiltner A, Baer E (2000) Correlation of fatigue and creep slow crack growth in a medium density polyethylene pipe material. J Mater Sci 35:2659–2674
Reynolds PT, Lawrence CC (1993) Mechanisms of deformation on the fatigue polyethylene pipe. J Mater Sci 28(9):2277–2282
Kiass N, Khelif R, Boulanouar L, Chaoui K (2005) An experimental approach to mechanical properties variability through HDPE pipe wall. J Appl Polym Sci 97:272–281
Pfingsten T, Glien K (2006) Statistical analysis of slow crack growth experiments. J Eur Ceram Soc 26:3061–3065
Wu WF, Ni CC (2007) Statistical aspects of some fatigue crack growth data. Eng Fract Mech 74(18):2952–2963
François D (2001) Essais mécaniques et lois de comportement. Hermes Science, Lague
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Khelif, R., Chateauneuf, A. & Chaoui, K. Statistical analysis of HDPE fatigue lifetime. Meccanica 43, 567–576 (2008). https://doi.org/10.1007/s11012-008-9133-7
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DOI: https://doi.org/10.1007/s11012-008-9133-7