Abstract
A computational wear simulator is an efficient tool for evaluating the wear of artificial knee joints. The classical Archard’s wear law-based simulator has questionable accuracy and is focused on walking. In this study, an in silico polyethylene wear simulation of total knee replacements was developed considering the various highly demanding daily activities. A good predicted accuracy (error = 8.1%) was found through comparison of the experimental results. A relatively larger averaged wear loss was found under the loading condition (1.53 mg/mc) of daily activities compared with the walking condition (1.32 mg/mc). The squatting movement (2.57 mg/mc) produces the highest overall wear rate. In addition, a relatively larger amount of wear was found on the medial side knee prosthesis than that on the lateral side. The enhanced in silico polyethylene wear simulator provides an accurate and comprehensive tool for wear prediction in preclinical wear testing.
Similar content being viewed by others
References
Abdelgaied, A., J. Fisher, and L. M. Jennings. A comprehensive combined experimental and computational framework for pre-clinical wear simulation of total knee replacements. J. Mech. Behav. Biomed. Mater. 78:282–291, 2018.
Abdelgaied, A., F. Liu, C. Brockett, L. Jennings, J. Fisher, and Z. Jin. Computational wear prediction of artificial knee joints based on a new wear law and formulation. J. Biomech. 44:1108–1116, 2011.
Archard, J. F., and W. Hirst. The wear of metals under unlubricated conditions. Proc. R. Soc. 236:397–410, 1956.
Battaglia, S., C. Belvedere, S. A. Jaber, S. Affatato, V. D’Angeli, and A. Leardini. A new protocol from real joint motion data for wear simulation in total knee arthroplasty: stair climbing. Med. Eng. Phys. 36:1605–1610, 2014.
Bergmann, G., A. Bender, F. Graichen, J. Dymke, A. Rohlmann, A. Trepczynski, M. O. Heller, and I. Kutzner. Standardized loads acting in knee implants. PLoS ONE 9:e86035, 2014.
Brockett, C. L., A. Abdelgaied, T. Haythornthwaite, C. Hardaker, J. Fisher, and L. M. Jennings. The influence of simulator input conditions on the wear of total knee replacements: an experimental and computational study. Proc. Inst. Mech. Eng. H 230:429–439, 2016.
Dassault Systèmes. Abaqus 2018 Documentation. 2018.
DesJardins, J. D., S. A. Banks, L. C. Benson, T. Pace, and M. LaBerge. A direct comparison of patient and force-controlled simulator total knee replacement kinematics. J. Biomech. 40:3458–3466, 2007.
Fregly, B. J., T. F. Besier, D. G. Lloyd, S. L. Delp, S. A. Banks, M. G. Pandy, and D. D. D’Lima. Grand challenge competition to predict in vivo knee loads. J. Orthop. Res. 30:503–513, 2012.
Galvin, A. L., L. Kang, I. Udofia, L. M. Jennings, H. M. J. McEwen, Z. Jin, and J. Fisher. Effect of conformity and contact stress on wear in fixed-bearing total knee prostheses. J. Biomech. 42:1898–1902, 2009.
Goreham-Voss, C. M., P. J. Hyde, R. M. Hall, J. Fisher, and T. D. Brown. Cross-shear implementation in sliding-distance-coupled finite element analysis of wear in metal-on-polyethylene total joint arthroplasty: intervertebral total disc replacement as an illustrative application. J. Biomech. 43:1674–1681, 2010.
Innocenti, B., L. Labey, A. Kamali, W. Pascale, and S. Pianigiani. Development and validation of a wear model to predict polyethylene wear in a total knee arthroplasty: a finite element analysis. Lubricants 2:193–205, 2014.
Kang, L., A. L. Galvin, T. D. Brown, Z. Jin, and J. Fisher. Quantification of the effect of cross-shear on the wear of conventional and highly cross-linked UHMWPE. J. Biomech. 41:340–346, 2008.
Kang, L., A. L. Galvin, J. Fisher, and Z. Jin. Enhanced computational prediction of polyethylene wear in hip joints by incorporating cross-shear and contact pressure in additional to load and sliding distance: effect of head diameter. J. Biomech. 42:912–918, 2009.
Kang, K.-T., Y.-G. Koh, M. Jung, J.-H. Nam, J. Son, Y. H. Lee, S.-J. Kim, and S.-H. Kim. The effects of posterior cruciate ligament deficiency on posterolateral corner structures under gait- and squat-loading conditions. Bone Jt. Res. 6:31–42, 2017.
Kang, K. T., J. Son, H. J. Kim, C. Baek, O. R. Kwon, and Y. G. Koh. Wear predictions for UHMWPE material with various surface properties used on the femoral component in total knee arthroplasty: a computational simulation study. J. Mater. Sci. Mater. Med. 28:10, 2017.
Knight, L. A., S. Pal, J. C. Coleman, F. Bronson, H. Haider, D. L. Levine, M. Taylor, and P. J. Rullkoetter. Comparison of long-term numerical and experimental total knee replacement wear during simulated gait loading. J. Biomech. 40:1550–1558, 2007.
Kretzer, J. P., J. Reinders, R. Sonntag, S. Hagmann, M. Streit, S. Jeager, and B. Moradi. Wear in total knee arthroplasty: just a question of polyethylene? Metal ion release in total knee arthroplasty. Int. Orthop. 38:335–340, 2014.
Laurent, M. P., T. S. Johnson, J. Q. Yao, C. R. Blanchard, and R. D. Crowninshield. In vitro lateral versus medial wear of a knee prosthesis. Wear 255:1101–1106, 2003.
Lee, R. K., L. A. Korduba, and A. Wang. An improved theoretical model of orientation softening and cross-shear wear of ultra high molecular weight polyethylene. Wear 271:2230–2233, 2011.
Lin, Y. T., J. S. S. Wu, and J. H. Chen. The study of wear behaviors on abducted hip joint prostheses by an alternate finite element approach. Comput. Methods Programs Biomed. 131:143–155, 2016.
Liu, F., A. Galvin, Z. Jin, and J. Fisher. A new formulation for the prediction of polyethylene wear in artificial hip joints. Proc. Inst. Mech. Eng. H 225:16–24, 2011.
Mell, S. P., S. Fullam, M. A. Wimmer, and H. J. Lundberg. Finite element evaluation of the newest ISO testing standard for polyethylene total knee replacement liners. Proc. Inst. Mech. Eng. H 232:545–552, 2018.
Miura, H., H. Higaki, Y. Nakanishi, T. Mawatari, T. Moro-Oka, T. Murakami, and Y. Iwamoto. Prediction of total knee arthroplasty polyethylene wear using the wear index. J. Arthroplasty 17:760–766, 2002.
Morlock, M., E. Schneider, A. Bluhm, M. Vollmer, G. Bergmann, V. Müller, and M. Honl. Duration and frequency of every day activities in total hip patients. J. Biomech. 34:873–881, 2001.
National joint registry 15th annual report 2018. 2018.https://doi.org/10.1038/nmat2505
Naudie, D. D. R., D. J. Ammeen, G. A. Engh, and C. H. Rorabeck. Wear and osteolysis around total knee arthroplasty. J. Am. Acad. Orthop. Surg. 15:53–64, 2007.
O’Brien, S. T., Y. Luo, and J. M. Brandt. In-vitro and in silico investigations on the influence of contact pressure on cross-linked polyethylene wear in total knee replacements. Wear 332–333:687–693, 2015.
O’Brien, S., Y. Luo, C. Wu, M. Petrak, E. Bohm, and J. M. Brandt. Computational development of a polyethylene wear model for the articular and backside surfaces in modular total knee replacements. Tribol. Int. 59:284–291, 2013.
Ranawat, A. S., S. S. Mohanty, S. E. Goldsmith, V. J. Rasquinha, J. A. Rodriguez, and C. S. Ranawat. Experience with an all-polyethylene total knee arthroplasty in younger, active patients with follow-up from 2 to 11 years. J. Arthroplasty 20:7–11, 2005.
Reinders, J., R. Sonntag, L. Vot, C. Gibney, M. Nowack, and J. P. Kretzer. Wear testing of moderate activities of daily living using in vivo measured knee joint loading. PLoS ONE 10:9–11, 2015.
Schwenke, T., and M. A. Wimmer. Cross-shear in metal-on-polyethylene articulation of orthopaedic implants and its relationship to wear. Wear 301:168–174, 2013.
Schwiesau, J., C. Schilling, C. Kaddick, S. Utzschneider, V. Jansson, B. Fritz, W. Blömer, and T. M. Grupp. Definition and evaluation of testing scenarios for knee wear simulation under conditions of highly demanding daily activities. Med. Eng. Phys. 35:591–600, 2013.
Shu, L., S. Li, and N. Sugita. Systematic review of computational modelling for biomechanics analysis of total knee replacement. Biosurf. Biotribol. 6:3–11, 2020.
Shu, L., K. Yamamoto, S. Kai, J. Inagaki, and N. Sugita. Symmetrical cruciate-retaining versus medial pivot prostheses: the effect of intercondylar sagittal conformity on knee kinematics and contact mechanics. Comput. Biol. Med. 108:101–110, 2019.
Shu, L., K. Yamamoto, J. Yao, P. Saraswat, Y. Liu, M. Mitsuishi, and N. Sugita. A subject-specific finite element musculoskeletal framework for mechanics analysis of a total knee replacement. J. Biomech. 77:146–154, 2018.
Twiggs, J. G., E. A. Wakelin, J. P. Roe, D. M. Dickison, B. A. Fritsch, B. P. Miles, and A. J. Ruys. Patient-specific simulated dynamics after total knee arthroplasty correlate with patient-reported outcomes. J. Arthroplasty 33:2843–2850, 2018.
Wang, A. A unified theory of wear for ultra-high molecular weight polyethylene in multi-directional sliding. Wear 248:38–47, 2001.
Wang, X. H., H. Li, X. Dong, F. Zhao, and C. K. Cheng. Comparison of ISO 14243-1 to ASTM F3141 in terms of wearing of knee prostheses. Clin. Biomech. 63:34–40, 2019.
Willing, R., and I. Y. Kim. Three dimensional shape optimization of total knee replacements for reduced wear. Struct. Multidiscip. Optim. 38:405–414, 2009.
Wu, J. S. S., J. P. Hung, C. S. Shu, and J. H. Chen. The computer simulation of wear behavior appearing in total hip prosthesis. Comput. Methods Programs Biomed. 70:81–91, 2003.
Zhang, J., Z. Chen, Y. Gao, X. Zhang, L. Guo, and Z. Jin. Computational wear prediction for impact of kinematics boundary conditions on wear of total knee replacement using two cross-shear models. J. Tribol. 2019. https://doi.org/10.1115/1.4044377.
Zhang, J., Z. Chen, L. Wang, D. Li, and Z. Jin. Load application for the contact mechanics analysis and wear prediction of total knee replacement. Proc. Inst. Mech. Eng. H 231:444–454, 2017.
Zhang, Y., D. J. Hunter, M. C. Nevitt, L. Xu, J. Niu, L. Y. Lui, W. Yu, P. Aliabadi, and D. T. Felson. Association of squatting with increased prevalence of radiographic tibiofemoral knee osteoarthritis: the Beijing osteoarthritis study. Arthritis Rheum. 50:1187–1192, 2004.
Zhao, D., H. Sakoda, W. G. Sawyer, S. A. Banks, and B. J. Fregly. Predicting knee replacement damage in a simulator machine using a computational model with a consistent wear factor. J Biomech Eng 130:11004, 2008.
Acknowledgments
The authors thank Prof. Zhongmin Jin from Southwest Jiaotong University for advice and discussion on the wear modeling. The authors also thank Mr. Junichi Inagaki and Dr. Shin Kai from Robert Reid Inc., Japan, for providing the prosthesis model and advice in wear testing.
Conflict of interest
None declared.
Funding
This research is supported by JSPS KAKENHI Grant No. 20K20162.
Author information
Authors and Affiliations
Corresponding author
Additional information
Associate Editor Eiji Tanaka oversaw the review of this article.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Shu, L., Hashimoto, S. & Sugita, N. Enhanced In-Silico Polyethylene Wear Simulation of Total Knee Replacements During Daily Activities. Ann Biomed Eng 49, 322–333 (2021). https://doi.org/10.1007/s10439-020-02555-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10439-020-02555-4