The objective of this study was to develop a nonlinear and anisotropic three-dimensional mathematical model of tendon behavior in which the structural components of fibers, matrix, and fiber-matrix interactions are explicitly incorporated and to use this model to infer the contributions of these structures to tendon mechanical behavior. We hypothesized that this model would show that: (i) tendon mechanical behavior is not solely governed by the isotropic matrix and fiber stretch, but is also influenced by fiber-matrix interactions; and (ii) shear fiber-matrix interaction terms will better describe tendon mechanical behavior than bulk fiber-matrix interaction terms. Model versions that did and did not include fiber-matrix interaction terms were applied to experimental tendon stress-strain data in longitudinal and transverse orientations, and the goodness-of-fit was evaluated. This study showed that models that included fiber-matrix interaction terms improved the fit to longitudinal data over models that only included isotropic matrix and fiber stretch terms . Shear fiber-matrix interaction terms proved to be responsible for the best fit to data and to contribute to stress-strain nonlinearity. The mathematical model of tendon behavior developed in this study showed that fiber-matrix interactions are an important contributor to tendon behavior. The more complete characterization of mechanical behavior afforded by this mathematical model can lead to an improved understanding of structure-function relationships in soft tissues and, ultimately, to the development of tissue-engineered therapies for injury or degeneration.
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April 2005
Article
The Role of Fiber-Matrix Interactions in a Nonlinear Fiber-Reinforced Strain Energy Model of Tendon Available to Purchase
Heather Anne L. Guerin,
Heather Anne L. Guerin
Department of Mechanical Engineering and Applied Mechanics
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Dawn M. Elliott
Dawn M. Elliott
Department of Orthopaedic Surgery, McKay Orthopaedic Research Laboratory,
e-mail: [email protected]
University of Pennsylvania
, 424 Stemmler Hall, Philadelphia, PA 19104-6081
Search for other works by this author on:
Heather Anne L. Guerin
Department of Mechanical Engineering and Applied Mechanics
Dawn M. Elliott
Department of Orthopaedic Surgery, McKay Orthopaedic Research Laboratory,
University of Pennsylvania
, 424 Stemmler Hall, Philadelphia, PA 19104-6081e-mail: [email protected]
J Biomech Eng. Apr 2005, 127(2): 345-350 (6 pages)
Published Online: November 18, 2004
Article history
Received:
April 5, 2004
Revised:
November 18, 2004
Citation
Guerin, H. A. L., and Elliott, D. M. (November 18, 2004). "The Role of Fiber-Matrix Interactions in a Nonlinear Fiber-Reinforced Strain Energy Model of Tendon." ASME. J Biomech Eng. April 2005; 127(2): 345–350. https://doi.org/10.1115/1.1865212
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