On the nonlinear viscoelastic behavior of soft biological tissues

Dehoff, P.H.<sup>1,2</sup>

Affiliations

¹Division of Interdisciplinary Studies, Clemson University, Clemson, SC 29651, U.S.A.

²Present Address: Mechanical Engineering Department, Bucknell University, Lewisburg, PA 17837, U.S.A.

Abstract

Two approximate constitutive equations which have proved useful for characterizing the nonlinear viscoelastic behavior of polymers are proposed as candidate theories to characterize soft biological tissues. The equivalence of these theories with one form of the Fung equation for stress relaxation is demonstrated. It is shown that different results are predicted for constant strain rate tests for data presented by Haut and Little (1972) for collagen fibers.

Links

DOI: 10.1016/0021-9290(78)90041-6

PubMed: 659454

WoS: A1978EX30700004

History

Received: 1977-03-28

Cited Works (3)

Year	Entry
1974	Jenkins RB, Little RW. A constitutive equation for parallel-fibered elastic tissue. J Biomech. September 1974;7(5):397-402.
1972	Haut RC, Little RW. A constitutive equation for collagen fibers. J Biomech. September 1972;5(5):423-430.
1967	Fung YCB. Elasticity of soft tissues in simple elongation. Am J Physiol. December 1967;213(6):1532-1544.

Cited By (12)

Year	Entry
1996	Bilston LE, Thibault LE. The mechanical properties of the human cervical spinal cord in vitro. Ann Biomed Eng. January–February 1996;24(1):67-74.
2000	Woo SL-Y, Debski RE, Zeminski J, Abramowitch SD, Chan Saw SS, Fenwick JA. Injury and repair of ligaments and tendons. Annu Rev Biomed Eng. 2000;2:83-118.
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.
2001	Weiss JA, Gardiner JC. Computational modeling of ligament mechanics. Crit Rev Biomed Eng. 2001;29(3):303-371.
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.
1980	Dorlot J-M, Ait Ba Sidi M, Tremblay GM, Drouin G. Load elongation behavior of the canine anterior cruciate ligament. J Biomech Eng. August 1980;102(3):190-193.
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.
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.
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.
1988	Lam T. The Mechanical Properties of the Maturing Medial Collateral Ligament [PhD thesis]. Calgary, AB: University of Calgary; March 1988.