A concise sensitivity analysis of the quasi-linear viscoelastic model proposed by Fung

Sauren, A. A. H. J.<sup>1</sup>; Rousseau, E. P. M.<sup>1</sup>

Affiliations

¹Eindhoven University of Technology, Department of Mechanical Engineering, Eindhoven, The Netherlands

Links

DOI: 10.1115/1.3138391

PubMed: 6843108

WoS: A1983QR88800015

History

Received: 1982-06-28

Revised: 1982-08-02

Cited Works (7)

Year	Entry
1974	Jenkins RB, Little RW. A constitutive equation for parallel-fibered elastic tissue. J Biomech. September 1974;7(5):397-402.
1974	Tanaka TT, Fung Y-C. Elastic and inelastic properties of the canine aorta and their variation along the aortic tree. J Biomech. August 1974;7(4):357-370.
1972	Haut RC, Little RW. A constitutive equation for collagen fibers. J Biomech. September 1972;5(5):423-430.
1980	Pinto JG, Patitucci PJ. Visco-elasticity of passive cardiac muscle. J Biomech Eng. February 1980;102(1):57-61.
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.
1980	Woo SL-Y, Simon BR, Kuei SC, Akeson WH. Quasi-linear viscoelastic properties of normal articular cartilage. J Biomech Eng. May 1980;102(2):85-90.
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 (24)

Year	Entry
1983	McElhaney JH, Paver JG, McCrackin HJ, Maxwell GM. Cervical spine compression responses. In: Proceedings of the 27th Stapp Car Crash Conference. October 17-19, 1983; San Diego, CA. Warrendale, PA: Society of Automotive Engineers:163-177. SAE 831615.
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.
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.
1983	Sauren AAHJ, van Hout MC, van Steenhoven AA, Veldpaus FE, Janssen JD. The mechanical properties of porcine aortic valve tissues. J Biomech. 1983;16(5):327-337.
1983	Rousseau EPM, Sauren AAHJ, van Hout MC, van Steenhove AA. Elastic and viscoelastic material behaviour of fresh and glutaraldehyde-treated porcine aortic valve tissue. J Biomech. 1983;16(5):339-348.
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.
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.
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.
2004	Abramowitch SD, Woo SL-Y. An improved method to analyze the stress relaxation of ligaments following a finite ramp time based on the quasi-linear viscoelastic theory. J Biomech Eng. February 2004;126(1):92-97.
1993	Setton LA. Effects of Intrinsic Viscoelasticity and Ion-Induced Swelling on the Mechanical Behavior of Articular Cartilage: Theory and Experiments [PhD thesis]. Columbia University; 1993.
2001	Huang C-Y. Biomechanics of Soft Tissues in the Shoulder Joint: Glenohumeral Cartilage, Ligament, and Rotator Cuff Tendon [PhD thesis]. Columbia University; 2001.
1984	Paver JG. The Biomechanics of Head and Neck Injury and Protection [PhD thesis]. Durham, NC: Duke University; 1984.
1993	Best TM. A Biomechanical Study of Skeletal Muscle Strain Injuries [PhD thesis]. Duke University; 1993.
2012	Luck JF. The Biomechanics of the Perinatal, Neonatal and Pediatric Cervical Spine: Investigation of the Tensile, Bending and Viscoelastic Response [PhD thesis]. Durham, NC: Duke University; 2012.
1997	Pioletti DP. Viscoelastic Properties of Soft Tissues Application to Knee Ligaments and Tendons [PhD thesis]. Swiss Federal Institute of Technology Lausanne; 1997.
2004	Abramowitch SD. An Evaluation of the Non-Linear Viscoelastic Properties of the Healing Medial Collateral Ligament [PhD thesis]. University of Pittsburgh; 2004.
2001	Thomopoulos S. Supraspinatus Tendon to Bone Healing: Differences in Biomechanical, Structural, and Compositional Properties Due to a Range of Activity Levels [PhD thesis]. University of Michigan; 2001.
2011	Weber JF. Mechanical Property Quantification of Tendons Using Improved Methodologies [Master's thesis]. University of Guelph; February 2011.
1988	Galbraith JA. The Effects of Mechanical Loading on the Electrophysiology of the Squid Giant Axon [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 1988.
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.
2001	Mazuchowski EL II. Investigation of the Biomechanical Properties of the Human Spinal Cord and Its Connective Tissue [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2001.
2007	Shields KJ. The Development of a Multi-Directional Wear Apparatus and the Characterization and Correlation of Biomechanical and Biotribological Properties of Bovine Articular Cartilage [PhD thesis]. Richmond, VA: Virginia Commonwealth University; December 2007.