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The prediction of stress-relaxation of ligaments and tendons using the quasi-linear viscoelastic model

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Abstract

Recent studies have questioned the ability of the quasi-linear viscoelastic (QLV) model to predict stresses and strains in response to loading conditions other than those used to fit the model. The objective of this study was to evaluate the ability of several models in the literature to predict the elastic stress response of ligament and tendon at strain levels higher than the levels used to fit the model. The constitutive models were then used to evaluate the ability of the QLV model to predict the overall stress response during stress relaxation. The models expressing stress as an exponential function of strain significantly overestimated stress when used at higher strain levels. The polynomial formulation of the Mooney–Rivlin model more accurately predicted the stress–strain behavior of ligament and tendon. The results demonstrate that the ability of the QLV model to accurately predict the stress-relaxation response is dependent in part on the accuracy of the function used to model the elastic response of the soft tissue.

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Author notes

  1. L. E. DeFrate

    Present address: Department of Surgery, Division of Orthopaedic Surgery, Duke University Medical Center, Durham, NC, 27710, USA

Authors and Affiliations

  1. Bioengineering Laboratory, Department of Orthopaedic Surgery, Massachusetts General Hospital and Harvard Medical School, 55 Fruit st, Boston, MA, 02114, USA

    L. E. DeFrate & G. Li

  2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA

    L. E. DeFrate

Authors
  1. L. E. DeFrate
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  2. G. Li
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Correspondence to G. Li.

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DeFrate, L.E., Li, G. The prediction of stress-relaxation of ligaments and tendons using the quasi-linear viscoelastic model. Biomech Model Mechanobiol 6, 245–251 (2007). https://doi.org/10.1007/s10237-006-0056-8

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  • DOI: https://doi.org/10.1007/s10237-006-0056-8

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