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A comparison between \(K\) and \(G\) approaches for a viscoelastic material: the case of environmental stress cracking of HDPE

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Abstract

According to linear elastic fracture mechanics the stress intensity factor and the energy release rate are two fracture parameters linked by the elastic modulus and Poisson’s ratio of the considered material. This concept has been extended to the analysis of linear viscoelastic materials, by introducing time-dependent quantities; it is also used for nonlinear viscoelastic polymers, even if its accuracy in this case is still an open question. In this work the slow crack growth and the environmental stress cracking resistance of two high-density polyethylene grades were investigated, differing for their molecular weight distribution and fracture resistance. The description of the fracture behavior of the two materials provided by the stress intensity factor or the energy release rate turned out to be equivalent, despite the nonlinear mechanical behavior exhibited by the two polymers. Moreover, a time-dependent effective modulus, related to the two fracture parameters, was evaluated: its value was in good agreement with the modulus experimentally determined from tensile tests. A constant relevant effective strain was found despite the different testing conditions (i.e. applied mechanical loading, temperature and presence of an active environment), its value being equal for the two considered polyethylenes.

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Acknowledgements

The authors wish to thank Oscar Bressan (Politecnico di Milano) for helping with experiments and specimen preparation and Matteo Lega (FATER S.p.A.) for the preparation of the active solutions.

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Authors and Affiliations

  1. Dipartimento di Chimica, Materiali e Ingegneria Chimica “G. Natta”, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Marco Contino, Luca Andena, Vincenzo La Valle & Marta Rink

  2. R&D Division, Fater S.p.A., Via Ardeatina 100, 00071, Pomezia, Rome, Italy

    Giuliano Marra & Stefano Resta

Authors
  1. Marco Contino
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  2. Luca Andena
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  3. Vincenzo La Valle
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  4. Marta Rink
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  5. Giuliano Marra
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  6. Stefano Resta
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Correspondence to Marco Contino.

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Contino, M., Andena, L., La Valle, V. et al. A comparison between \(K\) and \(G\) approaches for a viscoelastic material: the case of environmental stress cracking of HDPE. Mech Time-Depend Mater 24, 381–394 (2020). https://doi.org/10.1007/s11043-019-09426-z

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