Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues

Holzapfel, G. A. and Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi:10.1016/j.euromechsol.2017.07.005)

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Abstract

This study compares two models that are used to describe the elastic properties of fiber-reinforced materials with dispersed fibers, in particular some soft biological tissues such as arterial walls and cartilages. The two model approaches involve different constitutive frameworks, one being based on a generalized structure tensor (GST) and the other on the method of angular integration (AI). By using two representative examples, with the same number of parameters for each model, it is shown that the predictions of the two models are virtually identical for a significant range of large deformations, which contradicts conclusions contained in several papers that are based on faulty analysis. Additionally, each of the models is fitted to sets of uniaxial data from the circumferential and axial directions of the adventitia of a human aorta, both models providing excellent agreement with the data. While the predictions of the two models are comparable and exclusion of compressed fibers can be accommodated by either model, it is well known that the AI model requires more computational time than the GST model when used within a finite element environment, in particular if compressed fibers are excluded.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond and Holzapfel, Professor Gerhard
Authors: Holzapfel, G. A., and Ogden, R. W.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:European Journal of Mechanics - A/Solids
Journal Abbr.:EJMA
Publisher:Elsevier
ISSN:0997-7538
ISSN (Online):1873-7285
Published Online:13 July 2017
Copyright Holders:Copyright © 2017 Elsevier Masson SAS
First Published:First published in European Journal of Mechanics - A/Solids 66:193-200
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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