Comparison of a Multi-Layer Structural Model for Arterial Walls With a Fung-Type Model, and Issues of Material Stability

[+] Author and Article Information
Gerhard A. Holzapfel, Thomas C. Gasser

Institute for Structural Analysis— Computational Biomechanics, Graz University of Technology, 8010 Graz, Schiesstattgasse 14-B, Austriae-mail: {gh|tg}@biomech.tu-graz.ac.at

Ray W. Ogden

Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW, UKe-mail: rwo@maths.gla.ac.uk

J Biomech Eng 126(2), 264-275 (May 04, 2004) (12 pages) doi:10.1115/1.1695572 History: Received February 18, 2003; Revised July 17, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Two models for a young and healthy artery represented by a thick-walled circular cylindrical tube: Model (a) has one layer and uses Fung’s strain-energy (9) and (10) with material parameters c>0,b1,[[ellipsis]],b6; Model (b) has two layers and uses the proposed strain energy (12) with (13) and material parameters μM,k1M,k2M for the media M and μA,k1A,k2A for the adventitia A.
Grahic Jump Location
Mechanical response of a carotid artery from a rabbit during inflation and extension. Parameter values are taken from experiment number 71, as indicated in Table 1. The experiments are documented in Fung et al. 11. Model (a) is for a single layer using Fung’s strain-energy function (9), (10) with the shear strains zero; Model (b) is for two layers using the proposed strain-energy function (12), (13). Dependence of (a) the internal pressure pi and (b) the reduced axial force Fz on the (current) inner diameter di. The dots are for Model (a) and the solid lines for Model (b).
Grahic Jump Location
Plots of the principal Cauchy stresses σθθzzrr in the circumferential, axial and radial directions through the deformed wall thickness with internal pressure pi=120 mmHg and λz=1.691. Parameter values are taken from experiment number 71, as indicated in Table 1: (a) for a single layer using Fung’s strain-energy function (9), (10) with zero shear strains (the analogue of Fig. 3(b) in 10); (b) is for the two-layer model using (12), (13).



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