Finite element modeling of the contact geometry and deformation in biomechanics applications1

Journal of Computational and Nonlinear Dynamics

Volumn 8, Issue 4, 2013, Pages

  Gantoi, F Marina ^a   Brown, Michael A ^a   Shabana, Ahmed A ^a  

^a University of Illinois at Chicago   (United States)

Author keywords

absolute nodal coordinate formulation (ANCF); ANCF geometry; B spline; biomechanics; knee joint; NURBS

Indexed keywords

ABSOLUTE NODAL COORDINATE FORMULATIONS (ANCF); B-SPLINE; COMPUTATIONAL ENVIRONMENTS; KNEE JOINT; NON-UNIFORM RATIONAL B-SPLINES; NONLINEAR ALGEBRAIC EQUATIONS; NURBS; PARAMETRIC RELATIONSHIPS;

ALGORITHMS; BIOMECHANICS; BIOPHYSICS; COMPUTATIONAL GEOMETRY; DEFORMATION; END EFFECTORS; JOINTS (ANATOMY); NONLINEAR EQUATIONS; SHIP PROPELLERS;

INTERPOLATION;

EID: 84886278277     PISSN: 15551415     EISSN: 15551423     Source Type: Journal    
DOI: 10.1115/1.4024541     Document Type: Article

References (39)

1. Machado, M., Flores, P., Pimenta Claro, J. C., Ambrosio, J., Silva, M., and Completo, A., 2010, Development of a Planar Multibody Model of the Human Knee Joint, Nonlinear Dyn., 60(3), pp. 459-478
2. Blankevoort, L., and Huiskes, R., 1996, Validation of a Three-Dimensional Model of the Knee, J. Biomech., 29, pp. 955-961 (Pubitemid 26192314)
3. Bendjaballah, M. Z., Shirazi-Adl, A., and Zukor, D. J., 1995, Biomechanics of the Human Knee Joint in Compression: Reconstruction, Mesh Generation and Finite Element Analysis, The Knee, 2(2), pp. 69-79
4. Donahue, T. L. H., Hull, M. L., Rashid, M. M., and Jacobs, C. R., 2002, A Finite Element Model of the Human Knee Joint for the Study of Tibio-Femoral Contact, ASME J. Biomech. Eng., 124, pp. 273-280
5. McLean, S. G., Su, A., and Van den Bogert, A. J., 2003, Development and Validation of a 3-D Model to Predict Knee Joint Loading during Dynamic Movement, ASME J. Biomech. Eng., 125, pp. 864-874 (Pubitemid 38160037)
6. Bei, Y., and Fregly, B., 2004, Multibody Dynamic Simulation of the Knee Contact Mechanics, J. Med. Eng. Phys., 26, pp. 777-789 (Pubitemid 39572520)
7. Blankevoort, L., Kuiper, J. H., Huiskes, R., and Grootenboer, H. J., 1991,Articular Contact in a Three-Dimensional Model of the Knee, J. Biomech.,24, pp. 1019-1031
8. Abdel-Rahman, E. M., and Hefzy, M. S., 1998, Biomechanics of the Human Knee Joint in Compression: Reconstruction, Mesh Generation and Finite Element Analysis Three-Dimensional Dynamic Behavior of the Human Knee Joint under Impact Loading, Med. Eng. Phys., 20, pp. 276-290
9. Elias, J. J., Wilson, D. R., Adamson, R., and Cosgarea, A. J., 2004, Evaluation of a Computational Model Used to predict the Patella Femoral Contact Pressure Distribution, J. Biomech., 37, pp. 295-302 (Pubitemid 38156077)
10. Piazza, S. J., and Delp, S. L., 2001, Three-Dimensional Simulation of Total Knee Replacement Motion During a Step-Up Task, ASME J. Biomech. Eng., 123, pp. 599-606 (Pubitemid 34016552)
11. Engel, K., Herpers, R., and Hartmann, U., 2011, Biomechanical Computer Models, Theoretical Biomechanics, Vaclav Klika, ed., In Tech, New York
12. Guess, T. M., Thiagarajan, G., Kia, M., and Mishra, M., 2010, A Subject Specific Multibody Model of the Knee With Menisci, Med. Eng. Phys., 32(5), pp. 505-515
13. Gantoi, F. M., Brown, M. A., and Shabana, A. A., 2010, ANCF Finite Element/ Multibody System Formulation of the Ligament/Bone Insertion Site Constraints, ASME J Comput. Nonlinear Dyn., 5(3), p. 031006
14. Bartel, D. L., Davy, D. T., and Keaveny, T. M., 2006, Orthopaedic Biomechanics: Mechanics and Design in Musculoskeletal Systems, Pearson,Delhi
15. Shabana, A. A., Zaazaa, K. E., and Sugiyama, H., 2008, Railroad Vehicle Dynamics:A Computational Approach, CRC Press, Boca Raton, FL.
16. Cheng, R. C. K., Brown, T. D., and Andrews, J. G., 1990, Non-Uniqueness of the Bicompartmental Contact Force Solution in a Lumped-Parameter Mathematical Model of the Knee, J. Biomech., 23, pp. 353-355 (Pubitemid 20162542)
17. Mohamed, A. A., Brown, M., and Shabana, A. A., 2010, Study of the Ligament Tension and Cross-Section Deformation using Nonlinear Finite Element/Multibody System Algorithms, Multibody Syst. Dyn., 23, pp. 227-248
18. Weed, D., Maqueda, L., Brown, M., and Shabana, A., 2008, A Multibody/ Finite Element Nonlinear Formulation of a Two-Ligament Knee Joint, Proceedings of the 2008 ASME International Mechanical Engineering Congress and Exhibition, Boston, MA, Oct. 31-Nov. 6, pp. 407-416
19. Ashraf, T., Beard, D. J., and Newman, J. H., 2003, Symmetrical vs. Asymmetrical Total Knee Replacement: A Medium Term Comparative Analysis, The Knee, 10(1), pp. 61-66
20. Shabana, A. A., 2012, Computational Continuum Mechanics, 2nd ed., Cambridge University Press, Cambridge, UK.
21. Sanborn, G. G., and Shabana, A. A., 2009, On the Integration of the Computer Aided Design and Analysis using the Finite Element Absolute Nodal Coordinate Formulation, J. Multibody Syst. Dyn., 22, pp. 181-197
22. Mikkola, A., and Shabana, A. A., 2012, Comparison Between ANCF and BSpline Surfaces, Proceedings of the Second Joint International Conference on Multibody System Dynamics, Stuttgart, Germany, 29 May 29-June 1
23. Nordin, M., and Frankel, V. H., 2001, Basic Biomechanics of the Musculoskeletal System, 3rd ed., Lippincott Williams & Willkins, Philadelphia,PA.
24. Kapandji, I. A., 1970, The Physiology of the Joints, Churchill Livingstone,Edinburgh, UK.
25. Leondes, C. T., 2007, Biomechanical Systems Technology, Vol. 1: Computational Methods, World Scientific Publishing Co. Pte. Ltd., New York, USA
26. Mow, V. C., and Hayes, W. C., 1997, Basic Orthopedic Biomechanics, Lippincott-Raven Publishers, Philadelphia, PA.
27. Milner, C. E., 2008, Functional Anatomy for Sport and Exercise, Routledge,New York
28. Kennedy, J. C., Weinberg, H. W., and Wilson, A. S., 1974, The Anatomy and Function of the Anterior Cruciate Ligament, J. Bone Jt. Surg., 56A(2), pp. 223-235
29. Amis, A. A., Bull, A. M. J., Gupte, C. M., Hijazi, I., and Robinson, J. R., 2003,Biomechanics of the PCL and Related Structures: Postero-Lateral, Postero-Medial and Menisco-Femoral Ligaments, Knee Surg. Sports Traumatol. Arthrosc., 11, pp. 271-281 (Pubitemid 38251116)
30. Wang, C. J., 2002, Injuries to the Posterior Cruciate Ligament and Posterolateral Instabilities of the Knee, Chang Gung Med. J., 25, pp. 288-297
31. Penä, E., Calvo, B., Martínez, M. A., and Doblaré, M., 2006, A Three-Dimensional Finite Element Analysis of the Combined Behavior of Ligaments and Menisci in the Healthy Human Knee Joint, J. Biomech., 39(9), pp. 1686-1701 (Pubitemid 43817029)
32. Vollebregt, E. A. H., 2008, Survey of Programs on Contact Mechanics Developed by J. J. Kalker, Veh. Syst. Dyn., 46(1), pp. 85-92
33. Fung, Y. C., 1993, Biomechanics. Mechanical Properties of Living Tissues, 2nd ed., Springer-Verlag, New York
34. Shabana, A. A., 2005, Dynamics of Multibody Systems, 3rd ed., Cambridge University Press, Cambridge, UK.
35. Iscan, M. Y., 2005, Forensic Anthropology of Sex and Body Size, Forensic Science International, Forensic Sci. Int., 147(2-3), pp. 107-112 (Pubitemid 39582738)
36. Mommersteeg, T. J. A., Blankevoort, L., Huiskes, R., Kooloos, J. G. M., and Hendriks J. C. M., 1994, The Effect of Variable Relative Insertion Orientation of Human Knee Bone Ligament Bone Complexes on the Tensile Stiffness, J. Biomech., 28(6), pp. 745-752
37. Song, Y., Debski, R. E., Musahl, V., Thomas, M., and Woo, S. L., 2004, A Three-Dimensional Finite Element Model of the Human Anterior Cruciate Ligament:A Computational Analysis with Experimental Validation, J. Biomech.,37, pp. 383-390 (Pubitemid 38156086)
38. Cheng, C. K., 1988, A Mathematical Model for Predicting Bony Contact Forces and Muscles Forces at the Knee During the Human Gait, Ph.D. thesis,The University of Iowa, Iowa City, IA.
39. Sasaki, K., and Neptune, R. R., 2010, Individual Muscle Contributions to the Axial Knee Joint Contact Force during Normal Walking, J. Biomech., 43, pp. 2780-2784