Pertinence of Sheep Knee Joint for Calibration of Ligaments’ Constitutive Equations; Experimental and Theoretical Study

[1] M. Majewski, H. Susanne, S. Klaus, Epidemiology of athletic knee injuries: A 10-year study, Knee, 13(3) (2006) 184-188.

[2] H. Haapasalo, J. Parkkari, P. Kannus, A. Natri, M. Järvinen, Knee injuries in leisure-time physical activities: A prospective one-year follow-up of a finnish population cohort, International Journal of Sports Medicine, 28(1) (2007) 72-77.

[3] Y. Gijssen, I.N. Sierevelt, J.G.M. Kooloos, L. Blankevoort, Stiffness of the healing medial collateral ligament of the mouse, Connective Tissue Research, 45(3) (2004) 190-195.

[4] L.C. Vaughan, The use of carbon fibre implants for the repair of Achilles tendon rupture in dogs, Journal of Small Animal Practice, 22(10) (1981) 629-634.

[5] V.M. Goldberg, A. Burstein, M. Dawson, The influence of an experimental immune synovitis on the failure mode and strength of the rabbit anterior cruciate ligament, Journal of Bone and Joint Surgery - Series A, 64(6) (1982) 900-906.

[6] A. Viidik, Elasticity and Tensile Strength of the Anterior Cruciate Ligament in Rabbits as Influenced by Training, Acta Physiologica Scandinavica, 74(3) (1968) 372-380.

[7] S.D. Abramowitch, C.D. Papageorgiou, R.E. Debski, T.D. Clineff, S.L.Y. Woo, A biomechanical and histological evaluation of the structure and function of the healing medial collateral ligament in a goat model, Knee Surgery, Sports Traumatology, Arthroscopy, 11(3) (2003) 155-162.

[8] N.M. Germscheid, G.M. Thornton, D.A. Hart, K.A. Hildebrand, A biomechanical assessment to evaluate breed differences in normal porcine medial collateral ligaments, Journal of Biomechanics, 44(4) (2011) 725-731.

[9] F.R. Noyes, E.S. Grood, The strength of the anterior cruciate ligament in humans and rhesus monkeys: Age related and species related changes, Journal of Bone and Joint Surgery - Series A, 58(8) (1976) 1074-1082.

[10] W.G. Clancy Jr, R.G. Narechania, T.D. Rosenberg, J.G. Gmeiner, D.D. Wisnefske, T.A. Lange, Anterior and posterior cruciate ligament reconstruction in rhesus monkeys. A histological, microangiographic, and biomechanical analysis, Journal of Bone and Joint Surgery - Series A, 63(8) (1981) 1270-1284.

[11] P.B. Vasseur, R.R. Pool, S.P. Arnoczky, R.E. Lau, Correlative biomechanical and histologic study of the cranial cruciate ligament in dogs, American Journal of Veterinary Research, 46(9) (1985) 1842-1854.

[12] D.H. O’Donoghue, C.J. Rockwood, G.R. Frank, S.C. Jack, R. Kenyon, Repair of the anterior cruciate ligament in dogs, The Journal of Bone & Joint Surgery, 48(3) (1966) 503-519.

[13] B.L. Proffen, M. McElfresh, B.C. Fleming, M.M. Murray, A comparative anatomical study of the human knee and six animal species, Knee, 19(4) (2012) 493-499.

[14] C. Wex, S. Arndt, A. Stoll, C. Bruns, Y. Kupriyanova, Isotropic incompressible hyperelastic models for modelling the mechanical behaviour of biological tissues: A review, Biomedizinische Technik, 60(6) (2015) 577-592.

[15] M. Asgari, S. Keyvanian, Crash injury analysis of knee joint considering pedestrian safety, Journal of Biomedical Physics and Engineering, (2018).

[16] D. Sharifikia, M. Asgari, Dynamic analysis of healthy and edge-to-edge repaired mitral valve behavior subjected to high G accelerations, Journal of Mechanics in Medicine and Biology, 17(2) (2017).

[17] D.A. Morrow, T.H. Donahue, G.M. Odegard, K.R. Kaufman, A method for assessing the fit of a constitutive material model to experimental stress-strain data, Computer Methods in Biomechanics and Biomedical Engineering, 13(2) (2010) 247-256.

[18] C. Wan, Z. Hao, S. Wen, A review on research on development of ligament constitutive relations on macro, meso, and micro levels, Acta Mechanica Solida Sinica, 26(4) (2013) 331-343.

[19] K. Tanaka, M. Ogawa, Y. Inagaki, Y. Tanaka, H. Nishikawa, K. Hattori, Human knee joint sound during the Lachman test: Comparison between healthy and anterior cruciate ligament-deficient knees, Journal of Orthopaedic Science, 22(3) (2017) 488-494.

[20] C. Wan, Z. Hao, L. Tong, J. Lin, Z. Li, S. Wen, An update on the constitutive relation of ligament tissues with the effects of collagen types, Journal of the Mechanical Behavior of Biomedical Materials, 50 (2015) 255-267.

[21] I.Z. Oskui, A. Hashemi, H. Jafarzadeh, Biomechanical behavior of bovine periodontal ligament: Experimental tests and constitutive model, Journal of the Mechanical Behavior of Biomedical Materials, 62 (2016) 599-606.

[22] B.C. Marchi, C.M. Luetkemeyer, E.M. Arruda, Evaluating continuum level descriptions of the medial collateral ligament, International Journal of Solids and Structures, 138 (2018) 245-263.

[23] B. Pierrat, J. Molimard, L. Navarro, S. Avril, P. Calmels, Evaluation of the mechanical efficiency of knee orthoses: A combined experimental-numerical approach, Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 228(6) (2014) 533-546.

[24] L.G. Coles, S. Gheduzzi, A.W. Miles, In vitro method for assessing the biomechanics of the patellofemoral joint following total knee arthroplasty, Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 228(12) (2014) 1217-1226.

[25] M. Lowry, H. Rosenbaum, P.S. Walker, Evaluation of total knee mechanics using a crouching simulator with a synthetic knee substitute, Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 230(5) (2016) 421-428.

[26] L.C. Slane, J.A. Slane, J. D’Hooge, L. Scheys, The challenges of measuring in vivo knee collateral ligament strains using ultrasound, Journal of Biomechanics, 61 (2017) 258-262.

[27] H. Naghibi Beidokhti, D. Janssen, S. van de Groes, J. Hazrati, T. Van den Boogaard, N. Verdonschot, The influence of ligament modelling strategies on the predictive capability of finite element models of the human knee joint, Journal of Biomechanics, 65 (2017) 1-11.

[28] J.Y. Na, K. Song, S. Kim, H.B. Lee, J.K. Kim, J.H. Kim, J.W. Lee, J. Kwon, Evaluation of porcine xenograft in collateral ligament reconstruction in beagle dogs, Research in Veterinary Science, 97(3) (2014) 605-610.

[29] R.W. Ogden, LARGE DEFORMATION ISOTROPIC ELASTICITY - ON THE CORRELATION OF THEORY AND EXPERIMENT FOR INCOMPRESSIBLE RUBBERLIKE SOLIDS, Rubber Chemistry and Technology, 46(2) (1973) 398-416.

[30] O.H. Yeoh, Some Forms of the Strain Energy Function for Rubber, Rubber Chemistry and Technology, 66(5) (1993) 754-771.

[31] Y.C. Fung, Elasticity of soft tissues in simple elongation, The American journal of physiology, 213(6) (1967) 1532-1544.

[32] H. Demiray, A note on the elasticity of soft biological tissues, Journal of Biomechanics, 5(3) (1972) 309-311.

[33] A. Delfino, N. Stergiopulos, J.E. Moore Jr, J.J. Meister, Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation, Journal of Biomechanics, 30(8) (1997) 777-786.

[34] D. Barba, L. Barker, A. Chhabra, Anatomy and Biomechanics of the Posterior Cruciate Ligament and Posterolateral Corner, Operative Techniques in Sports Medicine, 23(4) (2015) 256-268.

[35] J. Buschmann, G. Meier, Biomechanics of Tendons and Ligaments, Woodhead Publishing Cambridge, United Kingdom, 2017.

[36] B.F. Morrey, S.J. Sanchez, M.E. Morrey, Morrey’s The Elbow and Its Disorders, Elsevier, Philadelphia, 2018.

[37] W. Hasenkamp, J. Villard, J.R. Delaloye, A. Arami, A. Bertsch, B.M. Jolles, K. Aminian, P. Renaud, Smart instrumentation for determination of ligament stiffness and ligament balance in total knee arthroplasty, Medical Engineering and Physics, 36(6) (2014) 721-725.

[38] S.L.Y. Woo, C.A. Orlando, J.F. Camp, W.H. Akeson, Effects of postmortem storage by freezing on ligament tensile behavior, Journal of Biomechanics, 19(5) (1986) 399-404.

[39] P.J. Arnoux, P. Chabrand, M. Jean, J. Bonnoit, A visco-hyperelastic model with damage for the knee ligaments under dynamic constraints, Computer Methods in Biomechanics and Biomedical Engineering, 5(2) (2002) 167-174.

[40] K. Smeets, J. Slane, L. Scheys, S. Claes, J. Bellemans, Mechanical Analysis of Extra-Articular Knee Ligaments. Part One: Native knee ligaments, Knee, 24(5) (2017) 949-956.

[41] G.A. Holzapfel, R.W. Ogden, Biomechanics of soft tissue in cardiovascular system, Springer-Verlag Wien, 2003.

[42] Y.C. Fung, Biomechanics: Mechanical Properties of Living Tissues, 2 ed., Springer-Verlag New York, 1993.

[43] J.A. Weiss, B.N. Maker, R.M. Greenwald, Finite element implementation of incompressible, transversely isotropic hyperelasticity, in: American Society of Mechanical Engineers, Bioengineering Division (Publication) BED, 1994, pp. 137-138.

[44] R.W. Ogden, G. Saccomandi, I. Sgura, Fitting hyperelastic models to experimental data, Computational Mechanics, 34(6) (2004) 484-502.

[45] Pierre-Jean Arnoux, Damien Subit, Catherine Masson Patrick Chabrand, C. Brunet, Knee ligaments mechanics From experiments to FE simulations, Revue Européenne des Éléments Finis, 14(4) (2005) 577-600.

[46] D. de Bortoli, E. Mötke Wrubleski, R. Marczak, J. Gheller Jr, HYPERFIT – CURVE FITTING SOFTWARE FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL MODELS, 2011.