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Technical Briefs

A Preliminary Analysis of the Data From an in Vitro Inflation-Extension Test Can Validate the Assumption of Arterial Tissue Elasticity

[+] Author and Article Information
Alexander Rachev

College of Engineering and Computing,
Biomedical Engineering Program,
University of South Carolina,
Columbia, SC 29208
e-mail: a.i.rachev@gmail.com

Tarek Shazly

College of Engineering and Computing,
Biomedical Engineering Program,
University of South Carolina,
Columbia, SC 29208;
College of Engineering and Computing,
Department of Mechanical Engineering,
University of South Carolina,
Columbia, SC 29208

1Corresponding author.

Contributed by the Bioengineering Division of ASME for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received October 23, 2012; final manuscript received May 21, 2013; accepted manuscript posted May 29, 2013; published online June 12, 2013. Assoc. Editor: Hai-Chao Han.

J Biomech Eng 135(8), 084502 (Jun 12, 2013) (4 pages) Paper No: BIO-12-1507; doi: 10.1115/1.4024665 History: Received October 23, 2012; Revised May 21, 2013; Accepted May 29, 2013

The objective of this study is to propose a method for preliminary processing of the experimental data from an inflation-extension test on tubular arterial specimens. The method is based on the condition for existence of a strain energy function (SEF) and can be used to verify whether the data from a certain experiment validate the assumption that the tissue can be considered as an elastic solid. As an illustrative example of the proposed method, experimental data for a porcine renal artery are used and the sources of the error in satisfying the condition of elasticity are analyzed. The results lead to the conclusion that the experimental data for a renal artery validate that the artery exhibits an elastic mechanical response and a constitutive formulation based on the existence of the SEF is justified. A modification of the proposed method for the case of an in-plane biaxial stretching test of mechanically isotropic and orthotropic tissues is considered.

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References

Rajagopal, K. R., and Srinivasa, A. R., 2007, “On the Response of Non-Dissipative Solids,” Proc. R. Soc. London, Ser. A, 463, pp. 357–367. [CrossRef]
Rajagopal, K. R., and Srinivasa, A. R., 2009, “On a Class of Non-Dissipative Materials That are not Hyperelastic,” Proc. R. Soc. London, Ser. A, 465, pp. 493–500. [CrossRef]
Humphrey, J. D., 2002, Cardiovascular Solid Mechanics: Cells, Tissues, and Organs, Springer-Verlag, New York/Berlin. Heidelberg.
Rachev, A., 2003, “Remodeling of Arteries in Response to Changes in Their Mechanical Environment,” Biomechanics of Soft Tissue in Cardiovascular Systems (CISM Courses and Lectures, Course and Lecture No. 441), G.Holzapfel andR.Ogden, eds., Springer, Wien, New York, pp. 100–161.
Chuong, C. J. and Fung, Y. C., 1986, “On Residual Stresses in Arteries,” ASME J. Biomech. Eng., 108, pp. 189–192. [CrossRef]
Zhou, B., Wolf, L., Rachev, A., and Shazly, T., 2012, “A Structure-Motivated Model of the Passive Mechanical Properties of the Primary Porcine Renal Artery,” J. Mech. Med. Biol. (submitted).
Holzapfel, G. A., Gasser, T. C., and Ogden, R. W., 2000, “A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models,” J. Elast., 61, pp. 1–48. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic representation of the arterial cross section (a) at the zero-stress state, and (b) at the current deformed state

Grahic Jump Location
Fig. 2

The error calculated from the experimental data (closed circles) and the error due to geometrical factors and numerical differentiation (open circles) versus pressure at the in situ axial stretch ratio λz = 1.233

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