Abstract
The main objective of this paper is to present a study of the osteoarthritis phenomena based on a complex three-dimensional model of the human knee joint, using CT cross sections. For that purpose, we used Ansys Workbench software which allows defining models with a high level of difficulty including complex 3D shapes. The virtual biomechanical system of the human knee containing bones, ligaments, menisci, cartilage is studied using the finite elements method. To investigate the role of the articular cartilage in the developing of the osteoarthritis and to analyze and simulate the biomechanical behavior of knee joint, a non-linear analysis was performed. The non-linearities are due to the presence of the contact elements modeled between components surfaces. This paper shows the Von Mises stress distribution and the strain maps found in menisci, in femoral cartilage and in tibial cartilage, applying a load of 800 N, 0º in flexion for healthy knee and for three different cases of 10º physiological varus knee. The behavior of the virtual knee joint can give important information which can be used in the fields of medicine sciences and biomedical robotics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bae YJ, Kyung SP, Jong KS, Dai SK (2012) Biomechanical analysis of the effects of medial meniscectomy on degenerative osteoarthritis. Med Biol Eng Comput 50:53–60
Bahraminasaba M, Saharia BB, Roshdi H, Arumugamc M (2011) Finite element analysis of the effect of shape memory alloy on the stress distribution and contact pressure in total knee replacement. Trends Biomater Artif Organs 25(3):95–100
Bredbenner T, Eliasona T, Potter R, Masona R, Havillb L (2010) Statistical shape modeling describes variation in tibia and femur surface geometry between control and incidence groups from the osteoarthritis initiative database. J Biomech 43(9):1780–1786
Catana M, Tarnita D (2012) The three-dimensional modeling of the complex virtual human knee joint. Bulletin of the Polytechnic Institute of IASI, Tom LVIII (LXII) Fasc, vol. 3, pp. 303–308
Chantarapanich N, Nanakorn P, Chernchujit B (2009) A finite element study of stress distributions in normal and osteoarthritic knee joints. J Med Assoc Thai 92:S97–103
Checa S, Taylor M (2008) Influence of an interpositional spacer on the behaviour of the tibio-femoral joint: A finite element study. Clin Biomech 23:1044–1052
Chung LY (2004) Experimental evaluation of a natural knee contact model using response surface optimization. Degree of Master of Science, University of Florida
Fenning SD (2005) The effects of meniscal sizing on the knee using finite element methods. In: Fritz J, Dolores H (ed.) A dissertation presented to the faculty of Russ College of Engineering and Technology of Ohio University
Harrysson OL, Yasser AH, Nayfeh FJ (2007) Custom-designed orthopedic implants evaluated using finite element analysis of patient-specific computed tomography data: femoral-component case study. BMC Musculoskelet Disord 8:91
Hartley YN (2009) The effect of the frontal plane tibiofemoral angle on the contact stress and strain at the knee joint. Mechanical engineering dissertations, Department of Mechanical and Industrial Engineering, Northeastern University
Henderson C (2009) Use of the novel magnetic resonance based modeling technique to investigate differences in tibiofemoral articular cartilage contact area in subjects with moderate knee osteoarthritis. Master of Science in Mechanical Faculty of the University of Delaware
Kazemi M, Li LP, Savard P, Buschmann MD (2011) Creep behavior of the intact and meniscectomy knee joints. J Mech Behav Biomed Mater 4(7):1351–1358
Kubicek M, Zdenek F (2009) Stress strain analysis of knee joint. Eng Mech 16(5):315–322
Lyu S, Liu D, Tseng C, Wang H, Chau L (2012) Knee health promotion option for osteoarthritic knee: Cartilage regeneration is possible. Osteoarthritis—Diagnosis, Treatment and Surgery, ISBN 978-953-51-0168-0
Machado M, Flores P, Ambrosio J, Completo A (2011) Influence of the contact model on the dynamic response of the human knee joint. Proc IMechE 225(4):344–358
Mohammad K (2011) A musculoskeletal model of a subject specific knee joint with menisci during the stance phase of a walk cycle. Dissertation in engineering and mathematics, University of Missouri-Kansas City
Moroni L, Lambersb F, Wilsonb W, Donkelaar C, Wijn JR, Huiskesb R, Blitterswijka C (2007) Finite element analysis of meniscal anatomical 3D scaffolds: implications for tissue engineering. Open Biomed Eng J 1:23–34
Orsi A, Yang N, Vaziri A, Canavan P, Hashemi H (2011) Development of a failure locus for a 3-dimensional anterior cruciate ligament: a finite element analysis. In: Proceedings of the international mechanical engineering congress and exposition, Denver, Colorado, USA
Ramaniraka NA, Terrier A, Theumann N, Siegrist O (2005) Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis. Clin Biomech 20:434–442
Randall H (2011) Finite element analysis of knee articular cartilage. Thesis presented to Ryerson University, Master of Applied Science in the program of mechanical engineering Toronto, University of Waterloo, Ontario, Canada
Sandholm A, Schwartz C, Pronost N, Zee M, Voigt M, Thalmann D (2011) Evaluation of a geometry-based knee joint compared to a planar knee joint. Virtual Reality Lab, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Tichon DJ (2011) Finite element analysis of the effect of low-speed rear end collisions on the medial meniscus. Master’s theses, University of Connecticut Digital Commons
Vidal-Lesso A, Ledesma O, Lesso AR, Rodríguez C (2011) Dynamic response of femoral cartilage in knees with unicompartmental osteoarthritis. J Appl Res Technol 9(2):173–187
Weiss JA, Gardiner JC (2001) Computational modeling of ligament mechanics. Crit Rev Biomed Eng 29(4):1–70
Yang N, Hashemi N, Canavan P (2007) The effects of tibio-femural angle and body weight on the stress field in the knee joint. In: Proceedings of the IMECE2007 international mechanical engineering congress and exposition, Seattle, Washington, USA
Yang N, Hashemi H, Canavan P, Vaziri A (2009) Effect of frontal plane tibio-femoral angle on the stress and strain at the knee cartilage during the stance phase of gait. Published online in Wiley InterScience
Acknowledgments
This work was supported by the strategic grant POSDRU/CPP107/DMI1.5/S/78421, Project ID78421 (2010), co-financed by the European Social Fund within the S O Program Human Resources Development 2007–2013.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Tarnita, D., Catana, M., Tarnita, D.N. (2014). Nonlinear Analysis of Osteoarthritis Process in Virtual Human Knee Joint. In: Visa, I. (eds) The 11th IFToMM International Symposium on Science of Mechanisms and Machines. Mechanisms and Machine Science, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-319-01845-4_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-01845-4_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01844-7
Online ISBN: 978-3-319-01845-4
eBook Packages: EngineeringEngineering (R0)