Human joints in general and the human knees particularly are subjected to impacts and wear on a daily basis, specifically during jumping. Considering their inefficient healing and the lack of effective replacements, knee joints became a hot topic for biomechanics research. Multiple works aim to model the knee joint behavior in the literature either experimentally or through finite elements simulations. In this work, we study the effects of the Lebanese folkloric dance Dabke jumping and compare it to vertical jumping. Moreover, we tackle the modeling and simulation of a tibiofemoral knee joint under impact using optimized inverse dynamics and the Brinkman model in the biphasic synovial joint domain. This joint model is mainly made of cartilage, a meniscus (both biphasic low permeability materials), and viscous synovial fluid. Because of the degenerated shape in the thickness direction, classical methods require a large number of degrees of freedom to correctly reproduce the knee behavior. To circumvent this problem, proper generalized decomposition (PGD) model reduction techniques are used to simulate the knee synovial joint. A smart, physically based morphing of space is used to accelerate the simulation process using model reduction techniques. The result of the work is a three-dimensional simulation of the velocity and pressure fields inside the synovial domain, as well as the loads and risks in every muscle and ligament. The experimental results are coupled to the simulations one to derive the main risks involved in both vertical jumping and Dabke jumping.
@article{CRMECA_2021__349_2_345_0, author = {Chady Ghnatios and Ilige Hage and Najib Metni}, title = {Knee joint injury risk assessment by means of experimental measurements and proper generalized decomposition}, journal = {Comptes Rendus. M\'ecanique}, pages = {345--369}, publisher = {Acad\'emie des sciences, Paris}, volume = {349}, number = {2}, year = {2021}, doi = {10.5802/crmeca.89}, language = {en}, }
Chady Ghnatios; Ilige Hage; Najib Metni. Knee joint injury risk assessment by means of experimental measurements and proper generalized decomposition. Comptes Rendus. Mécanique, Tome 349 (2021) no. 2, pp. 345-369. doi : 10.5802/crmeca.89. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.89/
[1] Analysis of forces producing fractures of the proximal end of the femur, J. Bone Joint Surg., Volume 42 (1960) no. 3, pp. 633-640 (British volume) | Article
[2] Method and system for knee joint evaluation and diagnostic aid in normal and pathologic state, 3 January 2017 (U.S. Patent No. 9,532,732)
[3] An EMG-driven musculoskeletal model to estimate muscle forces and knee joint moments in vivo, J. Biomech., Volume 36 (2003) no. 6, pp. 765-776 | Article
[4] Calculation of muscle loading and joint contact forces during the rock step in Irish dance, J. Dance Med. Sci., Volume 14 (2010) no. 1, pp. 11-18
[5] Identification of muscles forces during gait of children with foot disabilities, Mechanics, Volume 80 (2009) no. 6, pp. 48-51
[6] Biomechanical model for evaluation of pediatric upper extremity joint dynamics during wheelchair mobility, J. Biomech., Volume 47 (2014) no. 1, pp. 269-276 | Article
[7] A multibody biomechanical model of the upper limb including the shoulder girdle, Multibody Syst. Dyn., Volume 28 (2012) no. 1–2, pp. 83-108 | Article | MR 2947826
[8] Prediction of antagonistic muscle forces using inverse dynamic optimization during flexion/extension of the knee, J. Biomech. Eng., Volume 121 (1999) no. 3, pp. 316-322 | Article
[9] Hip and knee joint loading during vertical jumping and push jerking, Clin. Biomech., Volume 28 (2013) no. 1, pp. 98-103 | Article
[10] An optimization-based simultaneous approach to the determination of muscular, ligamentous, and joint contact forces provides insight into musculoligamentous interaction, Ann. Biomed. Eng., Volume 39 (2011) no. 7, pp. 1925-1934 | Article
[11] Creep behavior of the intact and meniscectomy knee joints, J. Mech. Behav. Biomed. Mater., Volume 4 (2011) no. 7, pp. 1351-1358 | Article
[12] A viscoelastic poromechanical model of the knee joint in large compression, Mech. Eng. Phys., Volume 36 (2014), pp. 998-1006
[13] A validated three-dimensional computational model of a human knee joint, J. Biomech. Eng., Volume 121 (1999) no. 6, pp. 657-662 | Article
[14] A finite element model of the human knee joint for the study of tibio-femoral contact, J. Biomech. Eng., Volume 124 (2002) no. 3, pp. 273-280 | Article
[15] Finite element modeling of soft tissues: material models, tissue interaction and challenges, Clin. Biomech. (Bristol, Avon), Volume 29 (2014) no. 4, pp. 363-372 | Article
[16] A human knee joint model considering fluid pressure and fiber orientation in cartilages and menisci, Med. Eng. Phys., Volume 33 (2011) no. 4, pp. 497-503
[17] Role of cartilage collagen fibrils networks in knee joint biomechanics under compression, J. Biomech., Volume 41 (2008) no. 16, pp. 3340-3348 | Article
[18] A porous implant model for a knee joint, Int. J. Bio-med. Comput., Volume 29 (1991) no. 1, pp. 45-59 | Article
[19] Creep behavior of the intact and meniscectomy knee joints, J. Mech. Behav. Biomed. Mater., Volume 4 (2011) no. 7, pp. 1351-1358 | Article
[20] A viscoelastic poromechanical model of the knee joint in large compression, Mech. Eng. Phys., Volume 36 (2014), pp. 998-1006
[21] Compression-rate-dependent nonlinear mechanics of normal and impaired porcine knee joints, BMC Musculoskelet. Disord., Volume 18 (2017) no. 447, pp. 1-10
[22] 3D modeling of squeeze flows occuring in composite laminates, Int. J. Mater. Form., Volume 8 (2015), pp. 73-83 | Article
[23] Understanding the role of viscous solvent confinement in the tribological behavior of polymer brushes: a bioinspired approach, Soft Matter, Volume 9 (2013), pp. 10572-10585 | Article
[24] Fluid load support during local indentation of cartilage with a spherical probe, J. Biomech., Volume 45 (2012), pp. 1036-1041 | Article
[25] An analytical model to predict interstitial lubrication of cartilage in migration contact areas, J. Biomech., Volume 47 (2014), pp. 148-153 | Article
[26] Modelling of fluid support inside articular cartilage during sliding, J. Eng. Tribol., Volume 221 (2007), pp. 165-174
[27] Finite element prediction of cartilage contact stresses in normal human hips, J. Orthop. Res., Volume 30 (2012), pp. 1133-1139 | Article
[28] Modeling soft permeable matter with the proper generalized decomposition (PGD) approach, and verification by means of nanoindentation, Soft Matter, Volume 13 (2017), pp. 4482-4493 | Article
[29] Parametric 3D elastic solutions of beams involved in frame structures, Adv. Aircr. Spacecr. Sci., Volume 2 (2015), pp. 233-248 | Article
[30] Improving computational efficiency in LCM by using computational geometry and model reduction techniques, Key Eng. Mater., Volume 611–612 (2014), pp. 339-343 | Article
[31] Recent advances in the use of the proper generalized decomposition for solving multidimensional models, Arch. Comput. Methods Eng., Volume 17 (2010), pp. 327-350 | Article | MR 2739942
[32] Soft-tissue artefact assessment during step-up using fluoroscopy and skin-mounted markers, J. Biomech., Volume 40 (2007) no. 1, p. S18-S24 [published correction appears in J. Biomech. 41 (2008), no. 10, p. 2332-2335] | Article
[33] Generalized mathematical representation of the soft tissue artefact, J. Biomech., Volume 47 (2014) no. 2, pp. 476-481 | Article
[34] An introduction to moving least squares meshfree methods, Meshfree Comput. Mech., Volume 11 (2002), pp. 825-867 | Zbl 1120.74856
[35] Proper generalized decomposition based dynamic data-driven of thermal processes, Comput. Methods Appl. Mech. Eng., Volume 213–216 (2012), pp. 29-41 | Article
[36] Biomechanics and Motor Control of Human Movement, John Wiley & Sons, Hoboken, NJ, 2009
[37] Model-based estimation of muscle forces exerted during movements, Clin. Biomech., Volume 22 (2007), pp. 131-154 | Article
[38] An optimization-based simultaneous approach to the determination of muscular, ligamentous, and joint contact forces provides insight into musculoligamentous interaction, Ann. Biomed. Eng., Volume 39 (2011) no. 7, pp. 1925-1934 | Article
[39] Moment arms and musculotendon lengths estimation for a three-dimensional lower-limb model, J. Biomech., Volume 37 (2004) no. 9, pp. 1447-1453 | Article
[40] Morphological muscle and joint parameters for musculoskeletal modelling of the lower extremity, Clin. Biomech., Volume 22 (2007), pp. 239-247 | Article
[41] Fabrication and in vitro evaluation of an articular cartilage extracellular matrix-hydroxyapatite bilayered scaffold with low permeability for interface tissue engineering, Biomed. Eng. Online, Volume 13 (2014) no. 80, pp. 1-18
[42] Permeability of articular cartilage, Nature, Volume 219 (1968) no. 5160, p. 1260-1261 | Article
[43] Anisotropic hydraulic permeability in compressed articular cartilage, J. Biomech., Volume 39 (2006), pp. 131-137 | Article
[44] Lubrication and cartilage, J. Anatomy, Volume 121 (1976) no. 1, pp. 107-118
[45] Finite Element Method for Flow Problems, Wiley, 2003
[46] Finite element analysis of incompressible viscous flows by the penalty function formulation, J. Comput. Phys., Volume 30 (1979), pp. 1-60 | Article | MR 524162 | Zbl 0412.76023
[47] The Proper Generalized Decomposition for Advanced Numerical Simulations, SpringerBriefs, 2014 | Article | Zbl 1287.65001
[48] Tibiofemoral cartilage thickness distribution and its correlation with anthropometric variables, Proc. Inst. Mech. Eng. H, Volume 222 (2008) no. 1, pp. 29-39 | Article
[49] The width: thickness ratio of the patella, Clin. Orthop. Relat. Res., Volume 466 (2008) no. 5, pp. 1198-1203 | Article
[50] Revision 1 size and position of the healthy meniscus, and its correlation with sex, height, weight, and bone area—a cross-sectional study, BMC Musculoskelet. Disord., Volume 12 (2011) no. 248, pp. 1-9
[51] A three-dimensional quantitative method to measure meniscus shape, position, and signal intensity using MR images: a pilot study and preliminary results in knee osteoarthritis, Magn. Reson. Med., Volume 63 (2010) no. 5, pp. 1162-1171 | Article
[52] Reliability of bony landmarks for restoration of the joint line in revision knee arthroplasty, Knee Surg. Sports Traumatol. Arthrosc., Volume 16 (2008), pp. 263-269 | Article
[53] Use of Insall-Salvati ratio and knee joint line positioning by MR imaging to restore joint lines during revision knee arthroplasty in the Chinese population, Kuwait Med. J., Volume 48 (2016) no. 1, pp. 17-24
[54] Integration of PGD-virtual charts into an engineering design process, Comput. Mech., Volume 57 (2016), pp. 637-651 | Article | MR 3472669 | Zbl 1382.74104
[55] First steps in the space separated representation of models defined in complex domains, ASME 11th Biennial Conference on Engineering Systems Design and Analysis (2012), pp. 37-42
[56] On the space separated representation when addressing the solution of PDE in complex domains, Discrete Contin. Dyn. Syst.-S, Volume 9 (2016) no. 2, pp. 475-500 | MR 3485906
[57] Advanced separated spatial representations for hardly separable domains, Comput. Methods Appl. Mech. Eng., Volume 354 (2019), pp. 802-819 | Article | MR 3963696 | Zbl 1441.74303
[58] Meniscal injuries: a critical review, J. Back Musculoskelet. Rehabil., Volume 15 (2000) no. 2, pp. 55-62 | Article