Biomechanical characteristics of tibio-femoral joint under different flexion angles by finite element analysis

doi:10.3969/j.issn.2095-4344.0336

Abstract

Abstract:

BACKGROUND: Despite three-dimensional (3D) finite element model is helpful for the analysis of the injury mechanism and mechanical characteristics of knee joint, there are few researches on dynamic movement simulation of knee joint.

OBJECTIVE: A 3D finite element model of normal male knee joint was established to dynamically simulate the movement of knee joint and analyze the biomechanical characteristics and relative movement of the tibio-femoral joint under different flexion angles, so as to provide a 3D finite element model for the investigation of knee biomechanics, and provide basis for the design of personalized knee prosthesis and 3D printing.

METHODS: The knee joint from a healthy male adult was scanned by CT. Then, a normal 3D finite element model of knee joint was constructed by Mimics, Hypermesh and Abaqus. Simulation and stress analysis of knee joint were carried out under different loads.

RESULTS AND CONCLUSION: (1) The constructed finite element model of knee joint could accurately reflect the geometrical structure and biomechanical characteristics of the knee joint, and could simulate multiple movements of knee joint and was effective for biomechanical research of the knee joint. (2) In the process of simulating knee flexion at 0°-60°, the range of knee valgus angle was 3.34°-6.13°, and the range of internal rotation angle was 1.56°-29.17°. The femur had a significant posterior shift relative to tibia, and the shifted distance was from 4.36 mm to 7.23 mm. (3) At knee flexion 0°, the maximum contact stresses of femur cartilage, tibial cartilage and meniscus were 1.45, 1.03 and 2.59 MPa, respectively, and 6.41, 6.73 and 8.65 MPa, respectively at knee flexion 60°. (4) Our findings indicate that in the process of simulating knee flexion at 0°-60°, the range of knee valgus angle is relatively small, and stable, while the range of internal rotation angle is relatively large. In the process of simulating knee flexion at 0°-60°, the contact stress of femoral and tibial cartilage gradually increased with the varied flexion angle, while the changes of contact stress of medial and lateral menisci are different, the changes of medial meniscus are much great, and the contact stress of lateral meniscus is relatively stable. The contact stress of medial meniscus is greater than that of lateral menisci.

中国组织工程研究杂志出版内容重点：人工关节；骨植入物；脊柱；骨折；内固定；数字化骨科；组织工程

Key words: Knee Joint, Menisci, Tibial, Cartilage, Biomechanics, Finite Element Analysis

CLC Number:

R318

Wang Jun-ran, Du Wei-jin, Wang Chang-jiang, Guo Yuan, Chen Wei-yi. Biomechanical characteristics of tibio-femoral joint under different flexion angles by finite element analysis [J]. Chinese Journal of Tissue Engineering Research, 2018, 22(31): 4975-4981.

Figures/Tables 5

References

[1] 贾焕英.膝关节软骨损伤磁共振扫描序列临床应用价值的研究[J].中国药物与临床,2017,17(6):826-827.

[2] 林昊,张余,李国安.人工全膝关节研究新进展[J].医用生物力学, 2012,27(2):115-121.

[3] 李春娥.膝关节有限元模型研究进展[J].科技经济导刊,2017, 1(9):158.

[4] Tanska P, Mononen ME, Korhonen RK. A multi-scale finite element model for investigation of chondrocyte mechanics in normal and medial meniscectomy human knee joint during walking. J Biomech. 2015;48(8):1397-1406.

[5] Naghibi BH, Janssen D, Van GS, et al. The influence of ligament modelling strategies on the predictive capability of finite element models of the human knee joint. J Biomech. 2017;65(5):1-11.

[6] Kang KT, Koh YG, Son J, et al. Finite element analysis of the biomechanical effects of 3 posterolateral corner reconstruction techniques for the knee joint. Arthroscopy. 2017;33(8):1537-1550.

[7] Woiczinski M, Steinbrück A, Weber P, et al. Development and validation of a weight-bearing finite element model for total knee replacement. Comput Methods Biomech Biomed Engin. 2016;19(10):1033.

[8] Ali AA, Shalhoub SS, Cyr AJ, et al. Validation of predicted patellofemoral mechanics in a finite element model of the healthy and cruciate-deficient knee. J Biomech. 2016;49(2): 302-309.

[9] Dong R, Liu Y, Zhang X, et al. The evaluation of the role of medial collateral ligament maintaining knee stability by a finite element analysis. J Orthop Surg Res. 2017;12(1):64-71.

[10] Rybicki EF, Simonen FA, Jr WE. On the mathematical analysis of stress in the human femur. J Biomech. 1972; 5(2): 203-215.

[11] Wismans J, Veldpaus F, Janssen J, et al. A three-dimensional mathematical model of the knee-joint. J Biomech. 1980;13(8): 677-679.

[12] Bendjaballah MZ, Shirazi A. Biomechanics of the human knee joint in compression: reconstruction, mesh generation and finite element analysis. Knee. 1995;2(2):69-79.

[13] Jilani A, Shirazi-Adl A, Bendjaballah MZ. Biomechanics of human tibio-femoral joint in axial rotation. Knee. 1997;4(4): 203-213.

[14] Caruntu DI, Hefzy MS. 3-D anatomically based dynamic modeling of the human knee to include tibio-femoral and patello-femoral joints. J Biomech Eng. 2004;126(1):44-53.

[15] Zielinska B, Donahue TL. 3D finite element model of meniscectomy: changes in joint contact behavior. J Biomech Eng. 2006;128(1):115-123.

[16] 姜华亮,华锦明,许新忠,等.正常人膝关节三维有限元模型的建立[J].苏州大学学报:医学版,2008,28(3):421-422.

[17] Baldwin MA, Clary CW, Fitzpatrick CK, et al. Dynamic finite element knee simulation for evaluation of knee replacement mechanics. J Biomech. 2012;45(3):474-483.

[18] 鲍春雨,郭宝川,孟庆华.人体膝关节有限元模型建立及其有效性验证[J].应用力学学报,2017,34(3):559-563.

[19] 陈文栋,杨光.不同载荷条件下半月板动态仿真生物力学分析[J].中国组织工程研究,2017,21(11):1742-1747.

[20] Manda K, Ryd L, Eriksson A. Finite element simulations of a focal knee resurfacing implant applied to localized cartilage defects in a sheep model. J Biomech. 2011;44(5):794-801.

[21] 崔晓倩,王辅忠,张慧春.膝关节股骨远端软骨硬化前后力学性能分析[J].医用生物力学,2015,30(1):25-29.

[22] Rao C, Fitzpatrick CK. A statistical finite element model of the knee accounting for shape and alignment variability. Medical Engineering&Physics. 2013,35(10):1450-1456.

[23] 万超,郝智秀,温诗铸.前交叉韧带力学特性差异对膝关节有限元仿真结果的影响[J].医用生物力学,2012,27(4):375-380.

[24] Donzelli PS, Spilker RL, Ateshian GA, et al. Contact analysis of biphasic transversely isotropic cartilage layers and correlations with tissue failure. J Biomech. 1999;32(10): 1037-1047.

[25] Marouane H, Shiraziadl A, Hashemi J. Quantification of the role of tibial posterior slope in knee joint mechanics and ACL force in simulated gait. J Biomech. 2015;48(10):1899-905.

[26] 吴辉群,严培培,耿兴云,等.基于Mimics软件虚拟人膝关节三维图像融合实验[J].中国组织工程研究,2011,15(48):8943-8946.

[27] Song Y, Debski RE, Musahl V, et al. A three -dimensional finite element model of the human anterior cruciate ligament: a computational analysis with experimental validation. J Biomech. 2004;37(3):383- 390.

[28] Peña AE, Calvo B, Martã¬Nez MA, et al. A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. J Biomech. 2006;39(9):1686-1701.

[29] Suggs J, Wang C, Li G. The effect of graft stiffness on knee joint biomechanics after ACL reconstruction-a 3D computational simulation. Clin Biomech. 2003;18(1):35-43.

[30] Wascher DC, Markolf KL, Shapiro MS,et al. Direct in vitro measurement of forces in the cruciate ligaments. Part I: the effect of multiplane loading in the intact knee. J Bone Joint Surg Am. 1993;75(3):377-386.

[31] Morkolf K. Stiffness and laxity of the knee-the contributions of the supporting structures. J Bone Joint Surg A. 1976;58(5): 583-594.

[32] Naghibi H, Khoshgoftar M, Sprengers A, et al. A comparison between dynamic implicit and explicit finite element simulations of the native knee joint. Med Eng Phys. 2016; 10(38):1123-1130.

[33] 王光达,张祚福,齐晓军,等.膝关节三维有限元模型的建立及生物力学分析[J].中国组织工程研究,2010,14(52):9702-9705.