A constitutive equation for parallel-fibered elastic tissue

Jenkins, Rolfe B.; Little, Robert Wm.

Affiliations

¹Bettis Atomic Power Laboratory, Westinghouse Electric Company, Pittsburgh, Pennsylvania. U.S.A.

²Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48823. U.S.A.

Abstract

A constitutive equation for parallel-fibered elastic tissue is developed in the form of a non-linear hereditary integral. Material constants were determined from relaxation tests and these were used in the constitutive equation to predict results of constant strain rate tests, hysteresis loops and sinusoidal tests. Test speciments were obtained from the ligamentum nuchae of gross bovine specimens.

Links

DOI: 10.1016/0021-9290(74)90002-5

PubMed: 4443353

WoS: A1974U409900002

History

Received: 1974-03-29

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Cited By (18)

Year	Entry
1998	Martin RB, Burr DB, Sharkey NA. Skeletal Tissue Mechanics. New York, NY: Springer-Verlag; 1998.
1982	Woo SL-Y. Mechanical properties of tendons and ligaments, I: quasi-static and nonlinear viscoelastic properties. Biorheology. 1982;19(3):385-396.
1978	Dehoff P. On the nonlinear viscoelastic behavior of soft biological tissues. J Biomech. 1978;11(1-2):35-40.
1983	Lanir Y. Constitutive equations for fibrous connective tissues. J Biomech. 1983;16(1):1-12.
1984	Butler DL, Grood ES, Noyes FR, Zernicke RF, Brackett K. Effects of structure and strain measurement technique on the material properties of young human tendons and fascia. J Biomech. 1984;17(8):579-596.
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.
1979	Bingham DN, DeHoff PH. A constitutive equation for the canine anterior cruciate ligament. J Biomech Eng. February 1979;101(1):15-22.
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.
1983	Sauren AAHJ, Rousseau EPM. A concise sensitivity analysis of the quasi-linear viscoelastic model proposed by Fung. J Biomech Eng. February 1983;105(1):92-95.
1984	Dortmans LJMG, Sauren AAHJ, Rousseau EPM. Parameter estimation using the quasi-linear viscoelastic model proposed by Fung. J Biomech Eng. August 1984;106(3):198-203.
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.
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.
1986	Pintar FA. The Biomechanics of Spinal Elements [PhD thesis]. Marquette University; December 1986.
1981	Tencer A. The Mechanical Properties of the Human Lumbar Spine [PhD thesis]. McGill University; April 1981.
1976	Butler DL. A Constitutive Equation for Mammalian Skeletal Muscle Tissue in the Passive and Fully Stimulated States [PhD thesis]. East Lansing, MI: Michigan State University; 1976.
1990	Belkoff SM. A Microstructural Model of Skin: An Evaluation of Maturing Rat Dermis [PhD thesis]. East Lansing, MI: Michigan State University; April 1990.
1998	Carey JPR. The Compressive Characteristics of the Glenoid Labrum [Master's thesis]. Queen's University; January 1998.
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.