A structural model to describe the nonlinear stress-strain behavior for parallel-fibered collagenous tissues

Kwan, Michael K.<sup>1</sup>; Woo, Savio L-Y.<sup>1</sup>

Affiliations

¹Ortnopaedic Bioengineering Laboratory, Veteran Adminstration Medical Center and, University of California, San Diego, La Jolla, California 92093

Links

DOI: 10.1115/1.3168392

PubMed: 2486377

WoS: A1989FU05000016

Cited Works (8)

Year	Entry
1978	Kastelic J, Galeski A, Baer E. The multicomposite structure of tendon. Connect Tissue Res. 1978;6(1):11-23.
1974	Jenkins RB, Little RW. A constitutive equation for parallel-fibered elastic tissue. J Biomech. September 1974;7(5):397-402.
1980	Lanir Y. A microstructure model for the rheology of mammalian tendon. J Biomech Eng. November 1980;102(4):332-339.
1959	Rigby BJ, Hirai N, Spikes JD, Eyring H. The mechanical properties of rat tail tendon. J Gen Physiol. November 1959;43(2):265-283.
1969	Frisén M, Mägi M, Sonnerup L, Viidik A. Rheological analysis of soft collagenous tissue, I: theoretical considerations. J Biomech. March 1969;2(1):13-20.
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.
1968	Viidik A. A rheological model for uncalcified parallel-fibred collagenous tissue. J Biomech. January 1968;1(1):3-11.
1981	Woo SL-Y, Gomez MA, Akeson WH. The time and history-dependent viscoelastic properties of the canine medical collateral ligament. J Biomech Eng. November 1981;103(4):293-298.

Cited By (27)

Year	Entry
1993	Fung YC. Bioviscoelastic solids. In: Biomechanics: Mechanical Properties of Living Tissues. 2nd ed. New York, NY: Springer-Verlag; 1993:242-320.
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.
2001	Weiss JA, Gardiner JC. Computational modeling of ligament mechanics. Crit Rev Biomed Eng. 2001;29(3):303-371.
1999	Liao H, Belkof SM. A failure model for ligaments. J Biomech. 1999;32(2):183-188.
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.
1997	Atkinson TS, Haut RC, Altiero NJ. A poroelastic model that predicts some phenomenological responses of ligaments and tendons. J Biomech Eng. August 1997;119(4):400-405.
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.
2002	Hansen KA, Weiss JA, Barton JK. Recruitment of tendon crimp with applied tensile strain. J Biomech Eng. February 2002;124(1):72-77.
2010	Zec ML, Thistlethwaite P, Frank CB, Shrive NG. Characterization of the fatigue behavior of the medial collateral ligament utilizing traditional and novel mechanical variables for the assessment of damage accumulation. J Biomech Eng. January 2010;132(1):011001.
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.
1997	Bowman SM. Creep of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; May 1997.
2019	Groetsch A. Micro- and Nanomechanics of Mineralised Collagen Fibre Elasto-Plasticity [PhD thesis]. Ebinburgh, Scotland: Heriot-Watt University; November 2019.
1998	Atkinson TS. Experimental and Analytical Development of a Poroelastic Finite Element Model for Tendon [PhD thesis]. East Lansing, MI: Michigan State University; 1998.
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.
2007	Hao H. Identification of the Effects of Axonal Coupling to the Glial Matrix on Axonal Kinematics [PhD thesis]. Rutgers University; October 2007.
1997	Wren TAL. Structure-Function Relationships for Soft Skeletal Connective Tissues [PhD thesis]. Stanford University; June 1997.
1997	Richards M. Strain Environment Effects on New Bone Formation and Precursor Tissue Differentiation During Distraction [PhD thesis]. University of Michigan; 1997.
1998	Derwin KA. A Quantitative Investigation of Structure-Function Relationships in a Tendon Fascicle Model [PhD thesis]. University of Michigan; 1998.
1998	Bain AC. In Vivo Mechanical Thresholds for Morphological and Functional Axonal Injury [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 1998.
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.
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.
2008	Lucas SR. A Microstructural Viscoelastic Ligament Failure Model [PhD thesis]. Charlottesville, VA: University of Virginia; January 2008.
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.
1997	Rapoff AJ. Tensile Fatigue of Intervertebral Disc Annulus and a Probabilistic Rule of Mixtures for Elastic Moduli [PhD thesis]. University of Wisconsin – Madison; August 1997.