A modified elastic foundation contact model for application in 3D models of the prosthetic knee

Medical Engineering and Physics

Volumn 30, Issue 3, 2008, Pages 387-398

  Pérez González, Antonio ^a   Fenollosa Esteve, Carlos ^a   Sancho Bru, Joaquín L ^a   Sánchez Marín, Francisco T ^a   Vergara, Margarita ^a   Rodríguez Cervantes, Pablo J ^a  

^a UNIVERSITAT JAUME I   (Spain)

Author keywords

Biomechanics; Comparison of contact models; Contact model; Knee simulation; Prosthetic knee

Indexed keywords

BIOMECHANICS; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS;

CONTACT MODELS; ELASTIC FOUNDATION MODELS; KNEE SIMULATION; PROSTHETIC KNEES;

PROSTHETICS;

ACCURACY; ARTICLE; BIOMECHANICS; FINITE ELEMENT ANALYSIS; GEOMETRY; KNEE PROSTHESIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; VALIDITY;

COMPRESSIVE STRENGTH; ELASTICITY; FEMUR; FINITE ELEMENT ANALYSIS; HUMANS; KNEE; KNEE JOINT; KNEE PROSTHESIS; MODELS, BIOLOGICAL; MODELS, STRUCTURAL; PRESSURE; RANGE OF MOTION, ARTICULAR; STRESS, MECHANICAL; TIBIA; WEIGHT-BEARING; WEIGHTS AND MEASURES;

EID: 39849102198     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.medengphy.2007.04.001     Document Type: Article

References (25)

1. Moeinzadeh M.H., Engin A.E., and Akkas N. Two-dimensional dynamic modelling of human knee joint. J Biomech 16 (1983) 253-264
2. Wismans J., Veldpaus F., and Janssen J. A three-dimensional mathematical model of the knee joint. J Biomech 13 (1980) 677-685
3. Blankevoort L., Kuiper J.H., Huiskes R., and Grootenboer H.J. Articular contact in a three-dimensional model of the knee. J Biomech 24 (1991) 1019-1031
4. Li G., Gil L., Kanamori A., and Woo S.L.-Y. A validated three-dimensional computational model of the human knee joint. J Biomech Eng 121 (1999) 657-662
5. Essinger J.R., Leyvraz P.F., Heegard J.H., and Robertson D.D. A mathematical model for the evaluation of the behavior during flexion of condylar-type knee prostheses. J Biomech 22 (1989) 1229-1241
6. Sathasivam S., and Walker P.S. A computer model with surface friction for the prediction of total knee kinematics. J Biomech 30 (1997) 177-184
7. Fregly B.J., Bei Y., and Sylvester M.E. Experimental evaluation of an elastic foundation model to predict contact pressures in knee replacements. J Biomech 36 (2003) 1659-1668
8. Heim C.S., Postak P.D., and Greenwald A.S. What design factors influence wear behavior in total knee replacement?. In: Wright T.M., and Goodman S.T. (Eds). Implant wear in total joint replacement (2001), American Academy of Orthopedic Surgeons, Rosemont, IL 156-169
9. Wasielewski R.C., Galante J.O., Leighty R.M., Natarajan R.N., and Rosenberg A.G. Wear patterns on retrieved polyethylene tibial inserts and their relationship to technical considerations during total knee arthroplasty. Clin Orthop 299 (1994) 31-43
10. Blunn G.W., Joshi A.B., Minns R.J., Lidgren L., Lilley P., Ryd L., et al. Wear in retrieved condylar knee arthroplasties. A comparison of wear in different designs of 280 retrieved condylar knee prostheses. J Arthroplasty 12 (1997) 281-290
11. Rose R.M., and Goldfarb H.V. On the pressure dependence of the wear of ultra high molecular weight polyethylene. Wear 92 (1983) 88-111
12. Johnson K.L. Contact mechanics (1985), Cambridge University Press, Cambridge
13. Eberhardt A.W., Keer L.M., Lewis J.L., and Vithoontien V. An analytical model of joint contact. J Biomech Eng 112 (1990) 407-413
14. Li G., Sakamoto M., and Chao E.Y.S. A comparison of different methods in predicting static pressure distribution in articulating joints. J Biomech 30 (1997) 635-638
15. Fregly B.J. A three-dimensional compliant contact model for dynamic simulation of total knee replacements. Proceedings of the VIIth international symposium on computer simulation in biomechanics (1999), University of Calgary, Calgary, Canada 10-13
16. Kalker J.J., and Van Randen Y. A minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problems. J Eng Math 6 (1972) 193-206
17. Villa T., Migliavacca F., Gastaldi D., Colombo M., and Pietrabissa R. Contact stresses and fatigue life in a knee prosthesis: comparison between in vitro measurements and computational simulations. J Biomech 37 (2003) 45-53
18. Godest A.C., Beaugonin M., Haug E., Taylor M., and Gregson P.J. Simulation of a knee joint replacement during a gait cycle using explicit finite element analysis. J Biomech 35 (2002) 267-275
19. Halloran J.P., Petrella A.J., and Rullkoetter P.J. Explicit finite element modeling of total knee replacement mechanics. J Biomech 38 (2005) 323-331
20. Rao S.S. The finite element method in engineering. 2nd ed. (1989), Pergamon Press
21. Diekmann R., Hungershöfer J., Lux M., Taenzer L., and Wiernum J.-M. Efficient contact search for finite element analysis. ECCOMAS 2000. Barcelona (2000)
22. Wimmer MA. Wear of the polyethylene component created by rolling motion of the artificial knee joint. Shaker Verlag, Aachen; 1999.
23. Vu-Quoc L., and Zhang X. An elastoplastic contact force-displacement model in the normal direction: displacement-driven version. Proceedings of the Royal Society of London Series A, vol. 455, No. 1991 (1999) 4013-4044
24. Bartel D.L., Burstein A.H., Toda M.D., and Edwards D.L. The effect of conformity and plastic thickness on contact stresses in metal-backed plastic implants. J Biomech Eng 107 (1985) 193-199
25. Halloran J.P., Easley S.K., Petrella A.J., and Rullkoetter P.J. Comparison of deformable and elastic foundation finite element simulations for predicting knee replacement mechanics. J Biomech Eng 127 (2005) 813-818