Development and Validation of a Numerical Model for the Mechanical Behavior of Knee Prosthesis Analyzed by the Finite Elements Method

Article Preview

Abstract:

The human knee is a complex joint (the largest joint of the human body). During the different daily activities, this joint is exposed to significant loads and movements, may in some cases exceed the limit of the mechanical capacities of its components, which shows that the pathologies are quite numerous at the level of the human knee and the treatment sometimes requires surgery to either repair or implant (implant total knee prosthesis). As we know very well, the success of a total knee implant is highly dependent on the initial stability of the femoral or tibial implant and the integration of femur and tibia bone tissue with these implants in the long term. Due to the optimal distribution of mechanical stresses in the surrounding bone. It is for this reason that the search for reasonable solutions to compensate the damaged knee prosthesis and reduce the stresses in the cortical bone and spongy has become a very important research axis. In this regard, we have proposed three models of prosthesis knee joint from available literature and study the distribution of Von-Mises stresses and strains in the differents composents of knee prosthesis, know the total displacement between the model intact and model artificial of knee, 3D modeling software Solidworks 2016 is used for 3D modeling of knee prosthesis and finite element analysis software ANSYS 16.2 is used for numerical estimation of von-Mises stresses and strains. We find in this study that the maximum stresses and strains of Von Mises at the level of the tibia and tibial bone decrease, that is to say that the cement and the elastomer play a very important role in the absorption of the stresses and their minimization. On the other hand, the four knee prostheses (Model I (Ti6Al4V), Model II (CoCrMo), Model III (316L SS), Model IV (ZrO2)) implanted by elastomer contribute significantly to the reduction of stresses in the patella bone compared to the Intact Model. In general, both models of the knee prosthesis and reinforced by a stress reduction system (cement, elastomer) gave a lower stress level in the tibia and tibial bone of a normal person compared to a healthy model. The results obtained provide a theoretical basis for choosing an appropriate surgical model.

You might also be interested in these eBooks

Info:

[1] S. Bal, Your guide to knee replacement surgery,, A guideline, University of Missouri Columbia, (2013).

Google Scholar

[2] F. Buechel, and M. Pappas, Principles of human joint replacement: design and clinical application,, Springer-Verlag, (2011).

Google Scholar

[3] X. Peng, G. Liu, and Z. Guo, Finite element contact analysis of a human sagittal knee joint,, World Scientific Publishing Company.

Google Scholar

[4] J. Shi, Finite element analysis of total knee replacement considering gait cycle load and malalignment,, Ph.D. Thesis, University of Wolverhampton, (2007).

Google Scholar

[5] Penrose JM, Holt GM, Beaugonin M, Hose DR. Development of an accurate three-dimensional finite element knee model, Comput Methods Biomech Biomed Engin, 5(4) (2002) 291-300.

DOI: 10.1080/1025584021000009724

Google Scholar

[6] ESI Group. VPS Performance Solution 2013: Solver Reference Manual. Paris, France: ESI Group; (2013).

Google Scholar

[7] Haut Donahue TLH, Hull ML, A finite element model of the human knee joint for the study of tibio-femoral contact, Journal of Biomechanical Engineering, 124(3) (2002) 273-80.

DOI: 10.1115/1.1470171

Google Scholar

[8] Shepherd DET, Seedhom BB, The instantaneous, compressive modulus of human articular cartilage in joints of the lower limb, Rheumatology, 38(2) (1999) 124-32.

DOI: 10.1093/rheumatology/38.2.124

Google Scholar

[9] Whipple R,Advances in bioengineering Advances in Bioengineering, New Orleans, LA, USA, ASME, (1984).

Google Scholar

[10] Tissakht M, Ahmed AM, Tensile stress-strain characteristics of the human meniscal material, Journal of Biomechanics, 4 (1995) 411-22.

DOI: 10.1016/0021-9290(94)00081-e

Google Scholar

[11] Skaggs DL, Warden WH , Radial tie fibers influence the tensile properties of the bovine medial meniscus, Journal of Orthopaedic Research, 12(2) (1994) 176-85.

DOI: 10.1002/jor.1100120205

Google Scholar

[12] Fithian D, Kelly M, Material properties and structure-function relationships in the menisci. Clinical orthopaedics and related research, 252 (1990) 19-4.

DOI: 10.1097/00003086-199003000-00004

Google Scholar

[13] Aspden RM, A model for the function and failure of the meniscus, Engineering in Medicine, 14(3) (1985) 119-22.

Google Scholar

[14] Sabatini A, Goswami T, Hip implants VII: Finite element analysis and optimization of cross-sections, Materials and Design, 29(7) ( 2008) 1438-46.

DOI: 10.1016/j.matdes.2007.09.002

Google Scholar

[15] Wang GZ, Xuan FZ, Effects of triaxial stress on martensite transformation, stress-strain and failure behavior in front of crack tips in shape memory alloy NiTi, Materials Science and Engineering A, 527(6) (2010) 1529-36.

DOI: 10.1016/j.msea.2009.10.038

Google Scholar

[16] Kleinstreuer C, Li Z, Computational mechanics of Nitinol stent grafts, Journal of Biomechanics, 41(11) (2008) 2370-8.

DOI: 10.1016/j.jbiomech.2008.05.032

Google Scholar

[17] Au AG, D Palathinkal, Liggins AB, Raso VJ, J. Carey, Lambert RG, Amirfazli A, A NURBS-based technique for subject-specific construction of knee bone geometry, Computer Methods and Programs in Biomedicine 92 (2008) 20–34.

DOI: 10.1016/j.cmpb.2008.05.009

Google Scholar

[18] AZoM™.com Pty, Ltd Copyright © 2000-2014 retrieved on 28/02/2014 Accelerated Ageing and Characterisation of UHMWPE used in Orthopaedic Implants' from http://www.azom.com/properties.aspx,ArticleID=909.

Google Scholar

[19] Hosseini S, Biomedical Engineering-Technical Applications in Fatigue of Ti-6Al-4V, INTECH Open Access Publisher, 3 (2012) 75-91.

DOI: 10.5772/45753

Google Scholar

[20] American Society for Testing and Materials, 1992, F75-87, 42, F90-87, 47; F562-84,150.

Google Scholar

[21] Geringer J, Atmani F, Forest B, Friction–corrosion of AISI 316L/bone cement and AISI 316, L/PMMA contacts, Ionic strength effect on tribological behaviour, Wear, 267 (5–8) (2009) 763-769.

DOI: 10.1016/j.wear.2008.12.087

Google Scholar

[22] Yuan Guo, Xushu Zhang, Weiyi Chen, 2008, THREE-DIMENSIONAL FINITE ELEMENT SIMULATION OF TOTAL KNEE JOINT IN GAIT CYCLE, Acta Mechanica Solida Sinica, Vol (22) No (4) August (2009).

DOI: 10.1016/s0894-9166(09)60283-4

Google Scholar

[23] Sawatari T, Tsumura H, Iesaka K, Furushiro Y, Torisu T. Three‑dimensional finite element analysis of unicompartmental knee arthroplasty – The influence of tibial component inclination. J Orthop Res, (23) (2005) 549‑54.

DOI: 10.1016/j.orthres.2004.06.007

Google Scholar

[24] Zhu GD, Guo WS, Zhang QD, Liu ZH, Cheng LM, Finite element analysis of mobile‑bearing unicompartmental knee arthroplasty: The influence of tibial component coronal alignment, Chin Med J, 128 (2015) 2873‑8.

DOI: 10.4103/0366-6999.168044

Google Scholar

[25] Iesaka K, Tsumura H, Sonoda H, Sawatari T, Takasita M, Torisu T, The effects of tibial component inclination on bone stress after unicompartmental knee arthroplasty, J Biomech, 35 (2002) 969‑74.

DOI: 10.1016/s0021-9290(01)00244-5

Google Scholar

[26] Simpson DJ, Price AJ, Gulati A, Murray DW, Gill HS, Elevated proximal tibial strains followin unicompartmental knee replacement – A possible cause of pain, Med Eng Phys 31(2009) 752‑7.

DOI: 10.1016/j.medengphy.2009.02.004

Google Scholar

[27] Kwon OR, Kang KT, Son J, Kwon SK, Jo SB, Suh DS, Biomechanical comparison of fixed‑ and mobile‑bearing for unicomparmental knee arthroplasty using finite element analysis, J Orthop Res, 32( 2014).

DOI: 10.1002/jor.22499

Google Scholar

[28] Peña E, Calvo B, Martínez MA, Doblaré M, A three‑dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint, Biomech J, 39 (2006) 1686‑701.

DOI: 10.1016/j.jbiomech.2005.04.030

Google Scholar

[29] Hopkins AR, New AM, Rodriguez‑y‑Baena F, Taylor M, Finite element analysis of unicompartmental knee arthroplasty, Med Eng Phys, 32 (2010) 14‑21.

DOI: 10.1016/j.medengphy.2009.10.002

Google Scholar

[30] Bao HR, Zhu D, Gong H, Gu GS, The effect of complete radial lateral meniscus posterior root tear on the knee contact mechanics: A finite element analysis. J Orthop Sci, 18 (2013) 256‑63.

DOI: 10.1007/s00776-012-0334-5

Google Scholar