This is the author accepted manuscript. The final version is available from SAGE Publications via http://dx.doi.org/10.1177/0309324715610027The one-dimensional impact problem in the case of Fung?s quasi-linear viscoelastic model is studied for the relaxation function of the standard solid model (or Zener model). Additionally, quasi-linear viscoelastic Maxwell and Kelvin?Voigt models are recovered as limit cases. The results of numerical simulations for some illustrative values of the dimensionless problem parameters are presented. The obtained results can be of interest for biomedical testingauthorsversionPeer reviewe

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FP7 IRSES Marie Curie grant TAMER No 610547A one-dimensional impact problem for articular cartilage is considered. Behavior of the coefficient of restitution, peak strain, maximum stress in the drop-weight impact experiment is studied in detail. The non-linear viscoelastic Hunt?Crossley model previously used to fit experimental data is compared with a new quasi-linear viscoelastic Kelvin?Voigt model enriched in Fung's non-linear assumptions. It has been shown that the new model, having clear physical sense, better describes the experimental data.authorsversionPeer reviewe

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