Skip to main content

Numerical Analysis of the Knee Articulation Leg. The Angular Position Parameters and Forces Acting on the Joint Were Obtained and Applied into the Corresponding, During Different Stages of the Gait Process

  • Chapter
  • First Online:
Engineering Design Applications

Abstract

The knee is a diarthrodial joint or a wide mobility joint (or a wide mobility joint), which involves an extremely complex mechanical analysis. The knee possesses a great stability in complete extension to support the corporal weight, and has the necessary mobility to perform diverse daily activities (jump, gait, trot, run, among others) and efficiently orients the foot in relation to the irregularities of the ground. At present, a general understanding is possessed of the forces acting onto the bone structural components of the knee joint during daily activities. On the other hand, by applying Finite Element algorithms it is possible to numerically simulate the anatomic systems that constitute the human body. This algorithm has turned out to be an important tool to determine research behavior of the bone is not an organism, to determinate the behavior of bones from a mechanical point of view. Additionally, they are applied as a foundation for prosthesis design and numerical model generation to solve problems related to clinical conditions. For example, the degenerative osteoarthritis of the knee is a chronic degenerative disease that is active in persons between the ages of 50 to 60 years old and involves severe wear of the joint. This condition can be accelerated by multiple circumstances, the main one big effect of articulated overload (obesity, knee deformation, meniscus injuries, among others). In this paper we propose that a static structural analysis of the knee joint, which involves three phases of the human gait: normal support, contact (foot-ground) and balancing of the leg. The angular position parameters and the forces acting on the joint were obtained, and applied into the corresponding numerical analyses for each gait phase. The numerical analyses are based on the kinetic and kinematic studies of the knee, to determine the orientation and range of mobility of the joint. The numerical model of the knee joint was developed from a Computed Axial Tomography scan which would assure bio-fidelity in the numerical evaluation. Obtaining as results: the von Misses equivalent stress, the maximum and minimum principal stresses and the total displacement. It was determined by this research, that the knee capacity to support the loads in each step of the gait process and it helped to establish a data base for the design and development of joint knee prosthesis.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Platzer, W.: Colour Atlas of Human Anatomy, Vol. 1; Locomotor System, 5th edition, Ed. Thieme, pp. 194 (2004)

    Google Scholar 

  2. Yu, L., Tang, X., Du, L., Rao, C., Measurement-based research on the biomechanics characteristics of a knee joint. In: 2nd International Conference on Bioinformatics and Biomedical Engineering; ICBBE 2008, pp. 1233–1236 (2008)

    Google Scholar 

  3. Felson, D.T.: Osteoarthritis of the knee. N. Engl. J. Med. 354, 84–848 (2006)

    Article  Google Scholar 

  4. Murray, C.J.L., López, A.D.: Alternative projections of mortality and disability by cause 1990–2020; Global burden of disease study. Lancet 349(9064), 1498–1504 (1997)

    Article  Google Scholar 

  5. Bendjaballah, M.Z., Shirazi-Adl, A., Zukor, D.J.: Biomechanics of the human knee joint in compression; Reconstruction, mesh generation and finite element analysis. In: The Knee. Elsevier, Netherlands, Vol. 2, No. 2, pp. 69–79 (1995)

    Article  Google Scholar 

  6. Heegard, J., Leyvraz, P.F., Curnier, A., Rakotomanana, L., Huiskes, R.: The biomechanics of the human patella during passive knee flexion. J. Biomech. 28(11), 1265–1279 (1995)

    Article  Google Scholar 

  7. Beynnon, B., Yu, J., Huston, D., Fleming, B., Johnson, R., Haugh, L., Pope, M.H.: A sagittal plane model of the knee and cruciate ligaments with application of a sensitivity analysis. J. Biomech. Eng. 118(2), 227–239 (1996)

    Article  Google Scholar 

  8. Zhang, X. S., Gou, Y. and Chen, W.: 3D finite element method modelling and contact pressure analysis of the total knee joint in flexion. In: International Conference on Bioinformatics and Biomedical Engineering, ICBBE, pp. 1–3 (2009)

    Google Scholar 

  9. Perry, J., Burnfield, M.: Gait Analysis; Normal and Pathologic Function, 2nd edn., Bunch, W.H. (eds.), pp. 76–111 (1992)

    Google Scholar 

  10. Winter, D. A.: Biomechanics and Motor Control of Human Movement. Wiley, New York, 1st edn., pp. 61–65 (1990)

    Google Scholar 

  11. Morrison, J.B.: The mechanics of the knee joint in relation to normal walking. J. Biomech. 3(1), 51–61 (1970)

    Article  Google Scholar 

  12. Fernández-Fairén, M.: Biomechanical basis of tibial osteotomy. Biomechanical iv(7), 122–126 (1996)

    Google Scholar 

  13. Maquet, P.: Biomechanics of the knee and surgical possibilities of healing osteoarthritis knee joints. Clin. Orthop. Relat. Res. 146, 102–110 (1980)

    Google Scholar 

  14. Enderle, J., Blanchard, S., Bronzino, J.: Introduction to Biomedical Engineering. Academic Press, USA, pp. 1–125 (2000)

    Google Scholar 

  15. Smith, P.N., Refshange, K.M., Scarvell, J.M.: Development of the concepts of knee kinematics. Arch. Phys. Med. Rehabil. 84(12), 1895–1902 (2003)

    Article  Google Scholar 

  16. Le Veau, B.: Biomecánica del Movimiento Humano. Trillas, Mexico, pp. 27–47 (1991)

    Google Scholar 

  17. Rosenberg, A., Micos, R.: Biomecánica de la rodilla, Lesiones de los Ligamentos y del Aparato Extensor de la Rodilla. Diagnóstico y Tratamiento, 1st edn. Mosby, USA, pp. 26–45 (1992)

    Google Scholar 

  18. Blandine, C.: Anatomía para el movimiento; Introducción al Análisis de las Técnicas Corporales, 2nd edn., Curbet-Narques Impressors, pp 15–22 (2004)

    Google Scholar 

  19. González-Jemio, F., Mustafá-Milán, O., Antezana-Arzabe, A.: Alteraciones biomecánicas articulares en la obesidad. Gaceta Médica Boliviana 34(1), 5256 (2011)

    Google Scholar 

  20. Méndez-Romero, D.: Análisis Numérico de las Fuerzas y Efectos que se Involucran en el Movimiento de la Rodilla, M. Sc. Thesis, SEPI ESIME Zacatenco, Instituto Politécnico Nacional (2012)

    Google Scholar 

  21. Hibbeler, R. C.: Engineering Mechanics; Statics. Pretince Hall, USA (2010)

    Google Scholar 

  22. Jorge-Rellán, J., Guerrero-Rosales, M.A., Vigil-Castiello, F.J., Álvarez-Iglesias, B., Maestro-Fernández, A., Femández-Lombardía, J., Paz-Aparicio, A., Rodríguez-López, L., García-González, P., Fernández-Lombardía, M.I.: Mechanical behaviour simulation of the posterolateral fascicle fixation by means of a biocompatible screw for anterior cruciate ligament repairs. Trauma Fund MAPFRE 23(2), 77–83 (2012)

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the financial support from the Mexican government by Consejo Nacional de Ciencia y Tecnología (CONACyT) and the Instituto Politécnico Nacional.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guillermo Urriolagoitia-Sosa .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Urriolagoitia-Sosa, G. et al. (2019). Numerical Analysis of the Knee Articulation Leg. The Angular Position Parameters and Forces Acting on the Joint Were Obtained and Applied into the Corresponding, During Different Stages of the Gait Process. In: Öchsner, A., Altenbach, H. (eds) Engineering Design Applications. Advanced Structured Materials, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-79005-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-79005-3_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-79004-6

  • Online ISBN: 978-3-319-79005-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics