Abstract
The aim of the work was an analysis of the seven hyperelastic material models ability to capture tendon (from a sheep and domestic pig) response during quasi-static tensile loading. In the first step, animal tendons were tested under tensile loading; then the neo-Hookean, Mooney-Rivlin, Ogden, Humprey, Martins, Veronda-Wenstmann and Yeoh material models were fitted to tendons tensile data. Three different approaches to a modeling procedure were used: (1) models were fitted to tensile data for all tested specimens and coefficients of models were averaged, (2) on the base on registered tensile curves, one average stress-stretch curve was determined and then models were fitted, and (3) for two above described variants, the tensile data were limited to the first and second phase of elongation during fitting procedure and extrapolated to the third phase. Models sensitivity to limitation of experimental data and possibility of predicting tensile behavior in full range of elongation were analyzed. The range of experimental data used to fit the model was crucial factor for the predictive ability of each model.
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References
Fung, Y.C.: Biomechanics. Mechanical Properties of Living Tissues. Springer, USA (1993)
Maganaris, C.N., Narici, M.V.: Mechanical properties of tendons. In: Maffulli, N., Renström, P., Leadbetter, W.B. (eds.) Tendon Injuries, pp. 14–21. Springer, London (2005)
Abraham, A., Moyer, J., Villegas, D., Odegard, G., Donahue, T.: Hyperelastic properties of human meniscal attachments. J. Biomech. 44(3), 413–418 (2011)
Pena, E., Calvo, B., Martinez, M.A., Doblare, M.: An anisotropic visco-hyperelastic model for ligaments at finite strains. Formulation and computational aspects. Int. J. Solids Struct. 44, 760–778 (2007)
De Frate, 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)
Pena, E., Pena, J.A., Doblare, M.: On modelling nonlinear viscoelastic effects in ligaments. J. Biomech. 41, 2659–2666 (2008)
Safshekan, F., Tafazzoli-Shadpour, M., Abdouss, M., Shadmehr, M.B.: Mechanical characterization and constitutive modeling of human trachea: age and gender dependency. Materials (Basel) 9(6), 456 (2016)
Martins, P., Jorge, R.N., Ferreira, A.: A comparative study of several material models for prediction of hyperelastic properties: application to silicone-rubber and soft tissues. Strain 42, 135–147 (2006)
Chagnon, G., Rebouah, M., Favier, D.: Hyperelastic energy densities for soft biological tissues: a review. J. Elast. 120, 129–160 (2015)
Fang, F., Lake, S.P.: Modelling approaches for evaluating multiscale tendon mechanics. Interface Focus (2016). https://doi.org/10.1098/rsfs.2015.0044
Guo, Z.Y., Peng, X.Q., Moran, B.: A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrous. J. Mech. Phys. Solids 54, 1952–1971 (2006)
Weiss, J., Gardiner, J., Ellis, B., Lujan, T., Phatak, N.: Three-dimensional finite element modeling of ligaments: technical aspects. Med. Eng. Phys. 27, 845–861 (2005)
Polak, K., Czyż, M., Ścigała, K., Jarmundowicz, W., Będziński, R.: Biomechanical characteristics of the porcine denticulate ligament in different vertebra levels of the cervical spine - preliminary results of an experimental study. J. Mech. Behav. Biomed. Mater. 34, 165–170 (2014)
Johnson, G., Livesay, G., Woo, S., Rajagopal, K.: A single integral finite strain viscoelastic model of ligaments and tendons. J. Biomech. Eng. 118, 221–226 (1996)
Janjic, N., Ninkovic, S., Harhaji, V., Stankovic, M., Savic, D., Milankov, M.: Biomechanical properties of porcine tendon. ICET-2013;T.1–1.9:1–4 (2013)
Chakraborty, S., Mondal, D., Motalab, M.: Constitutive modeling of the human anterior cruciate ligament (ACL) under uniaxial loading using viscoelastic prony series and hyperelastic five parameter Mooney-Rivlin model. In: AIP Conference Proceedings (2016). https://doi.org/10.1063/1.4958358
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Liber-Kneć, A., Łagan, S. (2020). Experimental and Constitutive Approaches for a Study of Mechanical Properties of Animal Tendons. In: Korbicz, J., Maniewski, R., Patan, K., Kowal, M. (eds) Current Trends in Biomedical Engineering and Bioimages Analysis. PCBEE 2019. Advances in Intelligent Systems and Computing, vol 1033. Springer, Cham. https://doi.org/10.1007/978-3-030-29885-2_26
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