Despite the importance of sliding contact in diarthrodial joints, only a limited number of studies have addressed this type of problem, with the result that the mechanical behavior of articular cartilage in daily life remains poorly understood. In this paper, a finite element formulation is developed for the sliding contact of biphasic soft tissues. The augmented Lagrangian method is used to enforce the continuity of contact traction and fluid pressure across the contact interface. The resulting method is implemented in the commercial software COMSOL Multiphysics. The accuracy of the new implementation is verified using an example problem of sliding contact between a rigid, impermeable indenter and a cartilage layer for which analytical solutions have been obtained. The new implementation’s capability to handle a complex loading regime is verified by modeling plowing tests of the temporomandibular joint (TMJ) disc.
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August 2012
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An Augmented Lagrangian Method for Sliding Contact of Soft Tissue
Hongqiang Guo,
muerghq@gmail.com
Hongqiang Guo
Department of Biomedical Engineering, Rensselaer Polytechnic Institute
, Troy, NY 12180
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Laura R. Iwasaki,
Laura R. Iwasaki
Departments of Orthodontics and Dentofacial Orthopedics and Oral Biology, School of Dentistry,
University of Missouri-Kansas City
, Kansas City, MO 64108
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Robert L. Spilker
Robert L. Spilker
Department of Biomedical Engineering,
Rensselaer Polytechnic Institute
, Troy, NY 12180
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Hongqiang Guo
Department of Biomedical Engineering, Rensselaer Polytechnic Institute
, Troy, NY 12180muerghq@gmail.com
Laura R. Iwasaki
Departments of Orthodontics and Dentofacial Orthopedics and Oral Biology, School of Dentistry,
University of Missouri-Kansas City
, Kansas City, MO 64108
Robert L. Spilker
Department of Biomedical Engineering,
Rensselaer Polytechnic Institute
, Troy, NY 12180J Biomech Eng. Aug 2012, 134(8): 084503 (6 pages)
Published Online: August 6, 2012
Article history
Received:
January 9, 2012
Revised:
June 11, 2012
Posted:
July 18, 2012
Published:
August 6, 2012
Online:
August 6, 2012
Citation
Guo, H., Nickel, J. C., Iwasaki, L. R., and Spilker, R. L. (August 6, 2012). "An Augmented Lagrangian Method for Sliding Contact of Soft Tissue." ASME. J Biomech Eng. August 2012; 134(8): 084503. https://doi.org/10.1115/1.4007177
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