A microstructure model for the rheology of mammalian tendon

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A microstructure model for the rheology of mammalian tendon

J Biomech Eng. November 1980;102(4):332-339

©1980 ASME

Affiliations

¹Department of Biomedical Engineering, Technion—Israel Institute of Technology, Haifa, Israel
Abstract

The rheological behavior of mammalian tendon is analyzed in terms of its constituents structure and their properties. The elastic fibers are assumed to be straight and linearly elastic. They are of predominant role in the low ranges of strain. The collagen fibers are nonuniformly undulated. Upon stretch they gradually become straight, thus increasing the stiffness of the tissue. They are assumed to be linearly viscoelastic with negligible bending strength. It is shown that the nonuniformity of the collagen fiber structure can account for the observed nonlinear load-strain relations as well as for the nonlinear viscoelastic behavior of the tendon. An experimental procedure is developed through which the material functions and parameters can be determined.
Links

DOI: 10.1115/1.3138231

PubMed: 6965197

WoS: A1980KT68900009
History

Received: 1978-10-30

Revised: 1979-05-11

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Cited By (31)

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1994	Begeman PC, Visarius H, Nolte L-P, Prasad P. Visocelastic shear responses of the cadaver and Hybrid III lumbar spine. In: Proceedings of the 38th Stapp Car Crash Conference. October 31–November 2, 1994; Fort Lauderdale, FL. Warrendale, PA: Society of Automotive Engineers:1-14. SAE 942205.
2008	Lucas SR, Bass CR, Salzar RS, Oyen ML, Planchak C, Ziemba A, Shender BS, Paskoff G. Viscoelastic properties of the cervical spinal ligaments under fast strain-rate deformations. Acta Biomater. January 2008;4(1):117-125.
2002	Provenzano PP, Lakes RS, Corr DT, Vanderby R. Application of nonlinear viscoelastic models to describe ligament behavior. Biomech Model Mechanobiol. June 2002;1(1):45-57.
1982	Woo SL-Y. Mechanical properties of tendons and ligaments, I: quasi-static and nonlinear viscoelastic properties. Biorheology. 1982;19(3):385-396.
2001	Weiss JA, Gardiner JC. Computational modeling of ligament mechanics. Crit Rev Biomed Eng. 2001;29(3):303-371.
1983	Lanir Y. Constitutive equations for fibrous connective tissues. J Biomech. 1983;16(1):1-12.
1990	Monleón Pradas M, Diaz Calleja R. Nonlinear viscoelastic behaviour of the flexor tendon of the human hand. J Biomech. 1990;23(8):773-781.
1991	Myers BS, McElhaney JH, Doherty BJ. The viscoelastic responses of the human cervical spine in torsion: experimental limitations of quasi-linear theory, and a method for reducing these effects. J Biomech. 1991;24(9):811-817.
1994	Best TM, McElhaney J, Garrett WE, Myers BS. Characterization of the passive responses of live skeletal muscle using the quasi-linear theory of viscoelasticity. J Biomech. April 1994;27(4):413-419.
2002	Weiss JA, Gardiner JC, Bonifasi-Lista C. Ligament material behavior is nonlinear, viscoelastic and rate-independent under shear loading. J Biomech. July 2002;35(6):943-950.
1984	Hubbard RP, Soutas-Little RW. Mechanical properties of human tendon and their age dependence. J Biomech Eng. May 1984;106(2):144-150.
1989	Kwan MK, Woo SL-Y. A structural model to describe the nonlinear stress-strain behavior for parallel-fibered collagenous tissues. J Biomech Eng. November 1989;111(4):361-363.
1993	Woo SL-Y, Johnson GA, Smith BA. Mathematical modeling of ligaments and tendons. J Biomech Eng. November 1993;115(4B):468-473.
1996	Johnson GA, Livesay GA, Woo SL-Y, Rajagopal KR. A single integral finite strain viscoelastic model of ligaments and tendons. J Biomech Eng. May 1996;118(2):221-226.
1998	Puso MA, Weiss JA. Finite element implementation of anisotropic quasi-linear viscoelasticity using a discrete spectrum approximation. J Biomech Eng. February 1998;120(1):62-70.
2002	Arnoczky SP, Lavagnino M, Whallon JH, Hoonjan A. In situ cell nucleus deformation in tendons under tensile load: a morphological analysis using confocal laser microscopy. J Orthop Res. January 2002;20(1):29-35.
2005	Weiss JA, Gardiner JC, Ellis BJ, Lujan TJ, Phatak NS. Three-dimensional finite element modeling of ligaments: technical aspects. Med Eng Phys. December 2005;27(10):845-861.
1993	Best TM. A Biomechanical Study of Skeletal Muscle Strain Injuries [PhD thesis]. Duke University; 1993.
1997	Pioletti DP. Viscoelastic Properties of Soft Tissues Application to Knee Ligaments and Tendons [PhD thesis]. Swiss Federal Institute of Technology Lausanne; 1997.
2019	Groetsch A. Micro- and Nanomechanics of Mineralised Collagen Fibre Elasto-Plasticity [PhD thesis]. Ebinburgh, Scotland: Heriot-Watt University; November 2019.
2007	Lavagnino M. The Mechanotransduction Response of Tendon Cells to Tensile Loading [PhD thesis]. East Lansing, MI: Michigan State University; 2007.
2005	De Vita R. Structural Constitutive Models for Knee Ligaments [PhD thesis]. Pittsburgh, PA: University of Pittsburgh; 2005.
1988	Lam T. The Mechanical Properties of the Maturing Medial Collateral Ligament [PhD thesis]. Calgary, AB: University of Calgary; March 1988.
1999	Kukreti U. Structure-Function Relationship in Connective Tissues: A Study of Rabbit Medial Collateral Ligaments [PhD thesis]. Baltimore County, University of Maryland; 1999.
1997	Richards M. Strain Environment Effects on New Bone Formation and Precursor Tissue Differentiation During Distraction [PhD thesis]. University of Michigan; 1997.
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.
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.
2012	Reese SP. Multiscale Structure-Function Relationships in the Mechanical Behavior of Tendon and Ligament [PhD thesis]. University of Utah; May 2012.
2001	Corr DT. Mechanical Characterization and Modeling of Skeletal Muscle Following Injury [PhD thesis]. University of Wisconsin – Madison; 2001.
2003	Provenzano PP. Damage and Disuse in Collagenous Extracellular Matrices: Biological Responses and Mechanical Consequences [PhD thesis]. University of Wisconsin – Madison; 2003.