Abstract
An inverse iterative finite element analysis procedure was developed to investigate mechanical properties of porcine articular cartilage under compression load. Specimen consists of articular cartilage and bone was cut from porcine femur for this study. The specimen was mounted on metal base plate and the compression tests were performed by using material test machine with flat compression plate. The ramp-hold compression tests with different ramping displacement rates and long-term compression test with very low displacement rate were performed on the specimens. The force and compression displacement as function of time were recorded. The profile of specimen was obtained from for generating the geometry model of specimen. The finite element model which consists of bone and cartilage parts was generated from the geometry model of specimen. In this study, bone and cartilage were considered as linear elastic material and hyperviscoelastic material respectively. The generalized pattern search method was used for the optimization process to find the long-term hyperelastic and viscoelastic parameters of cartilage by minimize the experimental loading forces and the reaction forces computed form finite element analysis. The results shows 2nd order reduce polynomial hyperelastic model with two viscoelastic time constants can well describe the mechanical response of articular cartilage and bone specimen under flat plate compression.
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Sweigart, M.A., C.F. Zhu, D.M. Burt, P.D. deHoll, C.M. Agrawal, T.O. Clanton, and K.A. Athanasiou, Intraspecies and interspecies comparison of the compressive properties of the medial meniscus. Annals of Biomedical Engineering, 2004. 32(11): p. 1569–1579.
Pena, E., B. Calvo, M.A. Martinez, D. Palanca, and M. Doblare, Finite element analysis of the effect of meniscal tears and meniscectomies on human knee biomechanics. Clinical Biomechanics, 2005. 20(5): p. 498–507.
Barber, F.A., M.A. Herbert, F.A. Schroeder, J. Aziz-Jacobo, and M.J. Sutker, Biomechanical Testing of New Meniscal Repair Techniques Containing Ultra High-Molecular Weight Polyethylene Suture. Arthroscopy-the Journal of Arthroscopic and Related Surgery, 2009. 25(9): p. 959–967.
Beek, M., J.H. Koolstra, and T.M.G.J. van Eijden, Human temporomandibular joint disc cartilage as a poroelastic material. Clinical Biomechanics, 2003. 18(1): p. 69–76.
Gupta, S., J. Lin, P. Ashby, and L. Pruitt, A fiber reinforced poroelastic model of nanoindentation of porcine costal cartilage: A combined experimental and finite element approach. Journal of the Mechanical Behavior of Biomedical Materials, 2009. 2(4): p. 326–338.
Park, S. and G.A. Ateshian, Dynamic response of immature bovine articular cartilage in tension and compression, and nonlinear viscoelastic modeling of the tensile response. Journal of Biomechanical Engineering-Transactions of the Asme, 2006. 128(4): p. 623–630.
Fulcher, G.R., D.W.L. Hukins, and D.E.T. Shepherd, Viscoelastic properties of bovine articular cartilage attached to subchondral bone at high frequencies. Bmc Musculoskeletal Disorders, 2009. 10: p. -.
Egan, J.M., A viscoelastic analysis of the tensile weakening of deep femoral head articular cartilage. Proceedings of the Institution of Mechanical Engineers Part H-Journal of Engineering in Medicine, 2000. 214(H3): p. 239–247.
Ehlers, W. and B. Markert, A linear viscoelastic two-phase model for soft tissues: Application to articular cartilage Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2000. 80: p. S149-S152.
Garcia, J.J., N.J. Altiero, and R.C. Haut, Estimation of in situ elastic properties of biphasic cartilage based on a transversely isotropic hypo-elastic model. Journal of Biomechanical Engineering-Transactions of the Asme, 2000. 122(1): p. 1–8.
DiSilvestro, M.R., Q.L. Zhu, and J.K.F. Suh, Biphasic poroviscoelastic simulation of the unconfined compression of articular cartilage: II - Effect of variable strain rates. Journal of Biomechanical Engineering-Transactions of the Asme, 2001. 123(2): p. 198–200.
DiSilvestro, M.R., Q.L. Zhu, M. Wong, J.S. Jurvelin, and J.K.F. Suh, Biphasic poroviscoelastic simulation of the unconfined compression of articular cartilage: I - Simultaneous prediction of reaction force and lateral displacement. Journal of Biomechanical Engineering-Transactions of the Asme, 2001. 123(2): p. 191–197.
Liu, K.F., M.R. VanLandingham, and T.C. Ovaert, Mechanical characterization of soft viscoelastic gels via indentation and optimization-based inverse finite element analysis. Journal of the Mechanical Behavior of Biomedical Materials, 2009. 2(4): p. 355–363.
Torczon, V., ON the convergence of pattern search algorithms. Siam Journal on Optimization, 1997. 7(1): p. 1–25.
Audet, C. and J.E. Dennis, Analysis of generalized pattern searches. Siam Journal on Optimization, 2003. 13(3): p. 889–903.
Lewis, R.M. and V. Torczon, Pattern search methods or linearly constrained minimization. Siam Journal on Optimization, 2000. 10(3): p. 917–941.
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Liou, NS., Jeng, YR., Yen, SH., Chen, SF., Wu, KT. (2011). Investigating Mechanical Properties of Porcine Articular Cartilage by Flat Plate Compression Tests. In: Proulx, T. (eds) Mechanics of Biological Systems and Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0219-0_29
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DOI: https://doi.org/10.1007/978-1-4614-0219-0_29
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