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The present study aims at developing a forward dynamics methodology to specify the micro- and macro-motion of the tibiofemoral joint where the ligament behavior is simulated by employing an asymmetric nonlinear elastic model. Point clouds associated with the knee components are smoothed using a Laplacian smoothing procedure. Two phases of the contact search, i.e., spatial contact search and contact detection, are in turn performed to determine nodes and elements in contact while a bounding box technique is implemented to reduce associated computational time. External loads and moment due to the presence of all soft tissues are acquired using a musculoskeletal approach and fed into the forward dynamic model. Archard wear law is also integrated into the model allowing for wear prediction of total knee arthroplasty (TKA). A mesh density analysis is performed and the developed approach is assessed against outcomes available in the literature. Trajectory and wear occurrence of TKA is obtained, and it is shown that friction can lead to changes in both of them.

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MLA
Askari Renani, Ehsan, and Michael S. Andersen. “A Forward Dynamics Methodology to Study Nonlinear Dynamics and Wear of Total Knee Arthroplasties.” Advances in Nonlinear Dynamics  Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 2, edited by Walter Lacarbonara et al., Springer, 2022, pp. 551–62, doi:10.1007/978-3-030-81166-2_48.
APA
Askari Renani, E., & Andersen, M. S. (2022). A forward dynamics methodology to study nonlinear dynamics and wear of total knee arthroplasties. In W. Lacarbonara, B. Balachandran, M. J. Leamy, J. Ma, J. A. Tenreiro Machado, & G. Stepan (Eds.), Advances in Nonlinear Dynamics  Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 2 (pp. 551–562). https://doi.org/10.1007/978-3-030-81166-2_48
Chicago author-date
Askari Renani, Ehsan, and Michael S. Andersen. 2022. “A Forward Dynamics Methodology to Study Nonlinear Dynamics and Wear of Total Knee Arthroplasties.” In Advances in Nonlinear Dynamics  Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 2, edited by Walter Lacarbonara, Balakumar Balachandran, Michael J. Leamy, Jun Ma, J. A. Tenreiro Machado, and Gabor Stepan, 551–62. Cham: Springer. https://doi.org/10.1007/978-3-030-81166-2_48.
Chicago author-date (all authors)
Askari Renani, Ehsan, and Michael S. Andersen. 2022. “A Forward Dynamics Methodology to Study Nonlinear Dynamics and Wear of Total Knee Arthroplasties.” In Advances in Nonlinear Dynamics  Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 2, ed by. Walter Lacarbonara, Balakumar Balachandran, Michael J. Leamy, Jun Ma, J. A. Tenreiro Machado, and Gabor Stepan, 551–562. Cham: Springer. doi:10.1007/978-3-030-81166-2_48.
Vancouver
1.
Askari Renani E, Andersen MS. A forward dynamics methodology to study nonlinear dynamics and wear of total knee arthroplasties. In: Lacarbonara W, Balachandran B, Leamy MJ, Ma J, Tenreiro Machado JA, Stepan G, editors. Advances in Nonlinear Dynamics  Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 2. Cham: Springer; 2022. p. 551–62.
IEEE
[1]
E. Askari Renani and M. S. Andersen, “A forward dynamics methodology to study nonlinear dynamics and wear of total knee arthroplasties,” in Advances in Nonlinear Dynamics  Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 2, Online, 2022, pp. 551–562.
@inproceedings{8758530,
  abstract     = {{The present study aims at developing a forward dynamics methodology to specify the micro- and macro-motion of the tibiofemoral joint where the ligament behavior is simulated by employing an asymmetric nonlinear elastic model. Point clouds associated with the knee components are smoothed using a Laplacian smoothing procedure. Two phases of the contact search, i.e., spatial contact search and contact detection, are in turn performed to determine nodes and elements in contact while a bounding box technique is implemented to reduce associated computational time. External loads and moment due to the presence of all soft tissues are acquired using a musculoskeletal approach and fed into the forward dynamic model. Archard wear law is also integrated into the model allowing for wear prediction of total knee arthroplasty (TKA). A mesh density analysis is performed and the developed approach is assessed against outcomes available in the literature. Trajectory and wear occurrence of TKA is obtained, and it is shown that friction can lead to changes in both of them.}},
  author       = {{Askari Renani, Ehsan and Andersen, Michael S.}},
  booktitle    = {{Advances in Nonlinear Dynamics  Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 2}},
  editor       = {{Lacarbonara, Walter and Balachandran, Balakumar and Leamy, Michael J. and Ma, Jun and Tenreiro Machado, J. A. and Stepan, Gabor}},
  isbn         = {{9783030811655}},
  issn         = {{2730-7689}},
  language     = {{eng}},
  location     = {{Online}},
  pages        = {{551--562}},
  publisher    = {{Springer}},
  title        = {{A forward dynamics methodology to study nonlinear dynamics and wear of total knee arthroplasties}},
  url          = {{http://doi.org/10.1007/978-3-030-81166-2_48}},
  year         = {{2022}},
}

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