Abstract
Many active sportsmen trend to get injured in knee ligaments. For that reason, singular researches on the deformations limits of Anterior Cruciate Ligament (ACL) which ensure the stability of knee have been made. Understanding in detail the running of the knee plays an important role in the design of orthotics and prosthetics, and may also modify surgical protocols. As a consequence, the injury risk will be minimized with the right knowledge of the knee functioning. The Isogeometric Analysis has the potential to facilitate the study of the most of biomechanical models, which are usually geometrically complex. In this work, we present the deformation of ACL at an injury position using the isogeometric approach (IGA), suggested by Cottrell (Isogeometric analysis toward integration of CAD and FEA. Wiley, Hoboken, 2009) and Hughes et al. (Comput Methods Appl Mech Eng 194:4135–4195, 2005). Also is emphasized the potential of IGA formulations in future of the Biomechanics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J Cottrell. Isogeometric analysis toward integration of CAD and FEA. Wiley, Chichester, West Sussex, U.K. Hoboken, NJ, 2009.
T.J.R. Hughes, J.A. Cottrell, and Y. Bazilevs. Isogeometric analysis: Cad, finite elements, nurbs, exact geometry and mesh refinement. Computer Methods in Applied Mechanics and Engineering, 194(39 – 41):4135 – 4195, 2005.
Gerard J. Tortora and Bryan H. Derrickson. Principles of Anatomy and Physiology, 12th Edition. Wiley, 2008.
FREDDIE H. FU, CHRISTOPHER D. HARNER, DARREN L. JOHNSON, MARK D. MILLER, and SAVIO L.-Y. WOO. Biomechanics of knee ligaments basic concepts and clinical application. The Journal of Bone & Joint Surgery, 75(11):1716–1727, 1993.
Savio L.-Y. Woo, Steven D. Abramowitch, Robert Kilger, and Rui Liang. Biomechanics of knee ligaments: injury, healing, and repair. Journal of Biomechanics, 39(1):1 – 20, 2006.
J.A. Cottrell, A. Reali, Y. Bazilevs, and T.J.R. Hughes. Isogeometric analysis of structural vibrations. Computer Methods in Applied Mechanics and Engineering, 195(41–43):5257 – 5296, 2006. John H. Argyris Memorial Issue. Part {II}.
T. Elguedj, Y. Bazilevs, V.M. Calo, and T.J.R. Hughes. and projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order {NURBS} elements. Computer Methods in Applied Mechanics and Engineering, 197(33–40):2732 – 2762, 2008.
Chien H. Thai, H. Nguyen-Xuan, N. Nguyen-Thanh, T-H. Le, T. Nguyen-Thoi, and T. Rabczuk. Static, free vibration, and buckling analysis of laminated composite reissnermindlin plates using nurbs-based isogeometric approach. International Journal for Numerical Methods in Engineering, 91(6):571–603, 2012.
D.J. Benson, Y. Bazilevs, M.C. Hsu, and T.J.R. Hughes. Isogeometric shell analysis: The reissnermindlin shell. Computer Methods in Applied Mechanics and Engineering, 199(5–8):276 – 289, 2010. Computational Geometry and Analysis.
J.A. Cottrell, T.J.R. Hughes, and A. Reali. Studies of refinement and continuity in isogeometric structural analysis. Computer Methods in Applied Mechanics and Engineering, 196(41–44):4160 – 4183, 2007.
Les Piegl. The NURBS book. Springer, Berlin New York, 1997.
V. Phu Nguyen, S. P. A. Bordas, and T. Rabczuk. Isogeometric analysis: an overview and computer implementation aspects. ArXiv e-prints, May 2012.
T.J.R. Hughes, A. Reali, and G. Sangalli. Efficient quadrature for nurbs-based isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 199(5–8):301 – 313, 2010. Computational Geometry and Analysis.
F. Auricchio, F. Calabr, T.J.R. Hughes, A. Reali, and G. Sangalli. A simple algorithm for obtaining nearly optimal quadrature rules for nurbs-based isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 249–252(0):15 – 27, 2012. Higher Order Finite Element and Isogeometric Methods.
Acknowledgments
The authors truly acknowledge the funding provided by Ministério da Ciência, Tecnologia e Ensino Superior Fundação para a Ciência e a Tecnologia (Portugal), under grant SFRH/BPD/75072/2010, and by FEDER/FSE, under grant PTDC/EMETME/098050/2008.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Ferreira, J.P.S., Parente, M.P.L., Natal Jorge, R.M. (2015). Injury Simulation of Anterior Cruciate Ligament Using Isogeometric Analysis. In: Tavares, J., Natal Jorge, R. (eds) Computational and Experimental Biomedical Sciences: Methods and Applications. Lecture Notes in Computational Vision and Biomechanics, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-15799-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-15799-3_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15798-6
Online ISBN: 978-3-319-15799-3
eBook Packages: EngineeringEngineering (R0)