A structural mechanical model for tendon crimping

Kastelic, J.<sup>1,2</sup>; Palley, I.<sup>1,2</sup>; Baer, E.<sup>1</sup>

Affiliations

¹Department of Macromolecular Science, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A.

²Present address: Celanese Research Company, Box 1000, Summit, New Jersey 07901, U.S.A.

³Present address: The Allied Chemical Corporation Columbia Road and Park Avenue, Morristown, New Jersey 0760, U.S.A.

Abstract

For tendon collagen, an explanation is proposed for the “toe” region of the stress-strain curve. We ascribe the “toe” effect to the fascicle as a whole. Studies of tendon morphology have shown a distribution of crimp angles. In our model, restoring force arises from the elasticity of those fibrils which are already straightened. Resistance of a crimped fibril is assumed to be negligible. The model was found to fit experimental mechanical data for all ages and over the entire “toe” region.

Links

DOI: 10.1016/0021-9290(80)90177-3

PubMed: 7462263

WoS: A1980KS08300009

History

Received: 1979-07-09

Revised: 1979-11-14

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Cited By (39)

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2003	Elliott DM, Robinson PS, Gimbel JA, Sarver JJ, Abboud JA, Iozzo RV, Soslowsky LJ. Effect of altered matrix proteins on quasilinear viscoelastic properties in transgenic mouse tail tendons. Ann Biomed Eng. May 2003;31(5):599-605.
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1999	Liao H, Belkof SM. A failure model for ligaments. J Biomech. 1999;32(2):183-188.
1985	Stouffer DC, Butler DL, Hosny D. The relationship between crimp pattern and mechanical response of human patellar tendon-bone units. J Biomech Eng. May 1985;107(2):158-165.
1992	Ault HK, Hoffman AH. A composite micromechanical model for connective tissues, I: theory. J Biomech Eng. February 1992;114(1):137-141.
1993	Woo SL-Y, Johnson GA, Smith BA. Mathematical modeling of ligaments and tendons. J Biomech Eng. November 1993;115(4B):468-473.
1997	Hurschler C, Loitz-Ramage B, Vanderby R Jr. A structurally based stress-stretch relationship for tendon and ligament. J Biomech Eng. November 1997;119(4):392-399.
1998	Wren TAL, Carter DR. A microstructural model for the tensile constitutive and failure behavior of soft skeletal connective tissues. J Biomech Eng. February 1998;120(1):55-61.
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2005	Gimbel JA. The Role of Tension on Supraspinatus Tendon to Bone Healing in a Newly Developed Animal Model of Chronic Rotator Cuff Tears [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2005.
2005	Guerin HAL. A Nonlinear Anisotropic Continuum Model of Human Annulus Fibrosus Mechanical Behavior [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2005.
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1994	Weiss JA. A Constitutive Model and Finite Element Representation for Transversely Isotropic Soft Tissues [PhD thesis]. Salt Lake City, UT: University of Utah; December 1994.
2002	Gardiner JC. Computational Modeling of Ligament Mechanics [PhD thesis]. University of Utah; May 2002.
2008	Lucas SR. A Microstructural Viscoelastic Ligament Failure Model [PhD thesis]. Charlottesville, VA: University of Virginia; January 2008.
2016	Mane A. Representing Sub-Failure Quasi-Static Ligament Mechanics and Bone Kinematics in a Human Ankle Finite Element Model [Master's thesis]. Charlottesville, VA: University of Virginia; May 2016.
1997	Hurschler C. Collagen Matrix in Normal and Healing Ligaments: Microstructural Behavior, Biological Adaptation, and a Structural Mechanical Model [PhD thesis]. University of Wisconsin – Madison; 1997.
2017	Fang F. Composition-Dependent Mechanisms of Multiscale Tendon Mechanics [PhD thesis]. St. Louis, MO: Washington University in St. Louis; August 2017.