0
Article

The Role of Fiber-Matrix Interactions in a Nonlinear Fiber-Reinforced Strain Energy Model of Tendon

[+] Author and Article Information
Heather Anne Guerin

Department of Mechanical Engineering and Applied MechanicsDepartment of Orthopaedic Surgery, McKay Orthopaedic Research Laboratory,  University of Pennsylvania, 424 Stemmler Hall, Philadelphia, PA 19104-6081

Dawn M. Elliott1

Department of Mechanical Engineering and Applied Mechanicsdelliott@mail.med.upenn.eduDepartment of Orthopaedic Surgery, McKay Orthopaedic Research Laboratory,  University of Pennsylvania, 424 Stemmler Hall, Philadelphia, PA 19104-6081delliott@mail.med.upenn.edu

1

Corresponding author.

J Biomech Eng 127(2), 345-350 (Nov 18, 2004) (6 pages) doi:10.1115/1.1865212 History: Received April 05, 2004; Revised November 18, 2004

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 R2 goodness-of-fit was evaluated. This study showed that models that included fiber-matrix interaction terms improved the fit to longitudinal data (RToe2=0.88,RLin2=0.94) over models that only included isotropic matrix and fiber stretch terms (RToe2=0.36,RLin2=0.84). 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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2005 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Tendon orientation with respect to applied load and stress-free boundary conditions on unloaded faces for (a). longitudinal and (b). transverse orientations.

Grahic Jump Location
Figure 2

Representative plots of Models A–F: (a) isotropic matrix and fiber stretch interactions included in both toe and linear region; (b) fiber stretch removed from toe region, (c) isotropic matrix removed from linear region, (d) bulk and shear fiber-matrix interactions included (as well as isotropic matrix and fiber stretch), (e) bulk fiber-matrix interactions included, (f) shear fiber-matrix interactions included (selected as best model) (∎: longitudinal toe- and linear-region experimental data; ●: transverse experimental data; solid line: longitudinal toe- and linear-region model fits; dotted line: transverse model fit)

Grahic Jump Location
Figure 3

Representative plot of transverse experimental data and model fit (●: transverse data; line: transverse model fit)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In