Biomechanical properties and dynamic response of soft tissues as articular cartilage remains issues for attention. Currently, linear isotropic models are still used for cartilage analysis in spite of its viscoelastic nature. Therefore, the aim of this study was to propose a nonlinear viscoelastic model for cartilage indentation that combines the geometrical parameters and velocity of the indentation test with the thickness of the sample as well as the mechanical properties of the tissue changing over time due to its viscoelastic behavior. Parameters of the indentation test and mechanical properties as a function of time were performed in Laplace space where the constitutive equation for viscoelasticity and the convolution theorem was applied in addition with the Maxwell model and Hayes et al. model for instantaneous elastic modulus. Results of the models were compared with experimental data of indentation tests on osteoarthritic cartilage of a unicompartmental osteoarthritis cases. The models showed a strong fit for the axial indentation nonlinear force in the loading curve (R2 = 0.992) and a good fit for unloading (R2 = 0.987), while an acceptable fit was observed in the relaxation curve (R2 = 0.967). These models may be used to study the mechanical response of osteoarthritic cartilage to several dynamical and geometrical test conditions.
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ASME 2011 International Mechanical Engineering Congress and Exposition
November 11–17, 2011
Denver, Colorado, USA
Conference Sponsors:
- ASME
ISBN:
978-0-7918-5488-4
PROCEEDINGS PAPER
Nonlinear Dynamic Viscoelastic Model for Osteoarthritic Cartilage Indentation Force
A. Vidal-Lesso,
A. Vidal-Lesso
Universidad de Guanajuato, Salamanca; Instituto Tenologico de Celaya, Celaya, GUA, Mexico
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E. Ledesma-Orozco,
E. Ledesma-Orozco
Universidad de Guanajuato, Salamanca, GUA, Mexico
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R. Lesso-Arroyo,
R. Lesso-Arroyo
Instituto Tecnologico de Celaya, Celaya, GUA, Mexico
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L. Daza-Benitez
L. Daza-Benitez
Specialty Medical Unit-IMSS, Leon, GUA, Mexico
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A. Vidal-Lesso
Universidad de Guanajuato, Salamanca; Instituto Tenologico de Celaya, Celaya, GUA, Mexico
E. Ledesma-Orozco
Universidad de Guanajuato, Salamanca, GUA, Mexico
R. Lesso-Arroyo
Instituto Tecnologico de Celaya, Celaya, GUA, Mexico
L. Daza-Benitez
Specialty Medical Unit-IMSS, Leon, GUA, Mexico
Paper No:
IMECE2011-64387, pp. 215-220; 6 pages
Published Online:
August 1, 2012
Citation
Vidal-Lesso, A, Ledesma-Orozco, E, Lesso-Arroyo, R, & Daza-Benitez, L. "Nonlinear Dynamic Viscoelastic Model for Osteoarthritic Cartilage Indentation Force." Proceedings of the ASME 2011 International Mechanical Engineering Congress and Exposition. Volume 2: Biomedical and Biotechnology Engineering; Nanoengineering for Medicine and Biology. Denver, Colorado, USA. November 11–17, 2011. pp. 215-220. ASME. https://doi.org/10.1115/IMECE2011-64387
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