A note on the elasticity of soft biological tissues

Demiray, Hilmi

Affiliations

¹McMaster University, Department of Civil Engineering and Engineering Mechanics, Hamilton, Ontario, Canada

Abstract

In this short note a simple possible form of the strain energy function for soft biological tissues is studied. The similarity of the result of an example problem to experimental results is encouraging.

Links

DOI: 10.1016/0021-9290(72)90047-4

PubMed: 4666535

WoS: A1972M343900010

History

Received: 1971-10-1

Cited Works (2)

Year	Entry
1967	Fung YCB. Elasticity of soft tissues in simple elongation. Am J Physiol. December 1967;213(6):1532-1544.
1940	Mooney M. A theory of large elastic deformation. J Appl Phys. September 1940;11(9):582-592.

Cited By (13)

Year	Entry
1993	Fung YC. Biomechanics: Mechanical Properties of Living Tissues. 2nd ed. New York, NY: Springer-Verlag; 1993.
2009	Morrison B III, Yu Z, Elkin B. Progress on tissue-level, functional tolerance criteria and material properties of the living brain with anatomical resolution. In: Proceedings of the 2009 International IRCOBI Conference on the Biomechanics of Impact. September 9-11, 2009; York, UK.31-42.
1979	Fung YC, Fronek K, Patitucci P. Pseudoelasticity of arteries and of its mathematical expression. Am J Physiol. 1979;237(5):H620-H631.
1979	Lanir Y. A structural theory for the homogeneous biaxial stress-strain relationships in flat collagenous tissues. J Biomech. 1979;12(6):423-436.
1983	Lanir Y. Constitutive equations for fibrous connective tissues. J Biomech. 1983;16(1):1-12.
1998	Pioletti DP., Rakotomanana LR, Benvenuti J-F, Leyvraz P-F. Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons. J Biomech. August 1998;31(8):753-757.
2006	Gasser TC, Ogden RW, Holzapfel GA. Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. J R Soc Interface. February 22, 2006;3(6):15-35.
2001	Carter FJ, Frank TG, Davies PJ, McLean D, Cuschieri A. Measurements and modelling of the compliance of human and porcine organs. Med Image Anal. December 2001;5(4):231-236.
1997	Pioletti DP. Viscoelastic Properties of Soft Tissues Application to Knee Ligaments and Tendons [PhD thesis]. Swiss Federal Institute of Technology Lausanne; 1997.
1990	Belkoff SM. A Microstructural Model of Skin: An Evaluation of Maturing Rat Dermis [PhD thesis]. East Lansing, MI: Michigan State University; April 1990.
1992	Mendis K. Finite Element Modeling of the Brain to Establish Diffuse Axonal Injury Criteria [PhD thesis]. The Ohio State University; November 1992.
2001	Johnston CR. Solitary Waves in Fluid-Filled Elastic Tubes [PhD thesis]. Calgary, AB: University of Calgary; August 2001.
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.