Nonlinear viscoelastic behaviour of the flexor tendon of the human hand

Monleón Pradas, Manuel<sup>1</sup>; Diaz Calleja, Ricardo<sup>1</sup>

Affiliations

¹Laboratory of Thermodynamics and Physical Chemistry, Universidad Politécnica de Valencia, P.O. Box 22012.46071 Valencia, Spain

Abstract

The mechanical behaviour of the flexor tendon of the human hand is here investigated from the point of view of its nonlinear viscoelasticity. The samples are subjected to several single and multiple step loading histories. A quasilinear viscoelastic constitutive relationship between strain and stress history is assumed. Its characteristic material functions are determined with the aid of simple creep results, and model predictions are compared with the experimental results of complex loading histories. The validity of the quasilinear approach to tendon behaviour is discussed in connection with the deformation mechanism suggested by it.

Links

DOI: 10.1016/0021-9290(90)90024-W

PubMed: 2384489

WoS: A1990DP19600004

History

Revised: 1989-11-17

Cited Works (27)

Year	Entry
1977	Nomura S, Hiltner A, Lando JB, Baer E. Interaction of water with native collagen. Biopolymers. 1977;16:231-246.
1972	Fung Y-CB. Stress-strain-history relations of soft tissues in simple elongation. In: Fung YC, Perrone N, Anliker M, eds. Biomechanics: Its Foundations and Objectives. Symposium on Biomechanics, its Foundations and Objectives; July 29-31, 1970. Englewood Cliff, NJ: Inc., Prentice-Hall International; 1972:181-208.
1968	Viidik A. A rheological model for uncalcified parallel-fibred collagenous tissue. J Biomech. January 1968;1(1):3-11.
1978	Dehoff P. On the nonlinear viscoelastic behavior of soft biological tissues. J Biomech. 1978;11(1-2):35-40.
1982	Woo SL-Y. Mechanical properties of tendons and ligaments, I: quasi-static and nonlinear viscoelastic properties. Biorheology. 1982;19(3):385-396.
1986	Woo SL-Y, Orlando CA, Camp JF, Akeson WH. Effects of postmortem storage by freezing on ligament tensile behavior. J Biomech. 1986;19(5):399-404.
1986	Butler DL, Kay MD, Stouffer DC. Comparison of material properties in fascicle-bone units from human patellar tendon and knee ligaments. J Biomech. 1986;19(6):425-432.
1984	Armstrong CG, Lai WM, Mow VC. An analysis of the unconfined compression of articular cartilage. J Biomech Eng. May 1984;106(2):165-173.
1972	Haut RC, Little RW. A constitutive equation for collagen fibers. J Biomech. September 1972;5(5):423-430.
1974	Jenkins RB, Little RW. A constitutive equation for parallel-fibered elastic tissue. J Biomech. September 1974;7(5):397-402.
1984	Simon BR, Coats RS, Woo SL-Y. Relaxation and creep quasilinear viscoelastic models for normal articular cartilage. J Biomech Eng. May 1984;106(2):159-164.
1980	Lanir Y. A microstructure model for the rheology of mammalian tendon. J Biomech Eng. November 1980;102(4):332-339.
1969	Frisén M, Mägi M, Sonnerup L, Viidik A. Rheological analysis of soft collagenous tissue, II: experimental evaluations and verifications. J Biomech. March 1969;2(1):21-28.
1980	Ferry JD. Viscoelastic Properties of Polymers. 3rd ed. New York, NY: John Wiley & Sons; 1980.
1972	Diamant J, Keller A, Baer E, Litt M, Arridge RG. Collagen: ultrastructure and its relation to mechanical properties as a function of ageing. Proc R Soc B. March 14, 1972;180(1060):293-315.
1987	Nigul I, Nigul U. On algorithms of evaluation of Fung's relaxation function parameters. J Biomech. 1987;20(4):343-352.
1980	Decraemer WF, Maes MA, Vanhuyse VJ, Vanpeperstrafte P. A non-linear viscoelastic constitutive equation for soft biological tissues, based upon a structural model. J Biomech. 1980;13(7):559-564.
1976	Comninou M, Yannas IV. Dependence of stress-strain nonlinearity of connective tissues on the geometry of collagen fibres. J Biomech. 1976;9(7):427-433.
1969	Ellis DG. Cross-sectional area measurements for tendon specimens: a comparison of several methods. J Biomech. 1969;2(2):175-186.
1988	Lee TQ, Woo SL-Y. A new method for determining cross-sectional shape and area of soft tissues. J Biomech Eng. May 1988;110(2):110-114.
1982	Sanjeevi R, Somanathan N, Ramaswamy D. A viscoelastic model for collagen fibres. J Biomech. 1982;15(3):181-183.
1976	Cohen RE, Hooley CJ, McCrum NG. Viscoelastic creep of collagenous tissue. J Biomech. 1976;9(4):175-184.
1973	Minns RJ, Soden PD, Jackson DS. The role of the fibrous components and ground substance in the mechanical properties of biological tissues: a preliminary investigation. J Biomech. March 1973;6(2):153-165.
1972	Crisp JDC. Properties of tendon and skin. In: Fung YC, Perrone N, Anliker M, eds. Biomechanics: Its Foundations and Objectives. Symposium on Biomechanics, its Foundations and Objectives; July 29-31, 1970. Englewood Cliff, NJ: Inc., Prentice-Hall International; 1972:141-179.
1984	Hubbard RP, Soutas-Little RW. Mechanical properties of human tendon and their age dependence. J Biomech Eng. May 1984;106(2):144-150.
1988	Shrive NG, Lam TC, Damson E, Frank CB. A new method of measuring the cross-sectional area of connective tissue structures. J Biomech Eng. May 1988;110(2):104-109.
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.

Cited By (10)

Year	Entry
1999	Liao H, Belkof SM. A failure model for ligaments. J Biomech. 1999;32(2):183-188.
2012	Laksari K, Shafieian M, Darvish K. Constitutive model for brain tissue under finite compression. J Biomech. February 23, 2012;45(4):642-646.
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	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.
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.
2000	Funk JR, Hall GW, Crandall JR, Pilkey WD. Linear and quasi-linear viscoelastic characterization of ankle ligaments. J Biomech Eng. February 2000;122(1):15-22.
1997	Wren TAL. Structure-Function Relationships for Soft Skeletal Connective Tissues [PhD thesis]. Stanford University; June 1997.
1999	Ledoux WR II. A Biomechanical Model of the Human Foot With Emphasis on the Plantar Soft Tissue [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 1999.
2009	O'Connell GD. Degeneration Affects the Structural and Tissue Mechanics of the Intervertebral Disc [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2009.