Propagation of dissection in a residually-stressed artery model

Wang, L., Roper, S. M. , Hill, N. A. and Luo, X. (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16(1), pp. 139-149. (doi:10.1007/s10237-016-0806-1) (PMID:27395061)

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This paper studies dissection propagation subject to internal pressure in a residuallystressed two-layer arterial model. The artery is assumed to be infinitely long, and theresultant plane strain problem is solved using the extended finite element method. Thearterial layers are modelled using the anisotropic hyperelastic Holzapfel--Gasser--Ogden (HGO) model, and the tissue damage due to tear propagation is describedusing a linear cohesive traction-separation law. Residual stress in the arterial wall isdetermined by an opening angle in a stress-free configuration. An initial tear isintroduced within the artery which is subject to internal pressure. Quasi-static solutionsare computed to determine the critical value of the pressure, at which the dissectionstarts to propagate. Our model shows that the dissection tends to propagate radiallyoutwards. Interestingly, the critical pressure is higher for both very short and very longtears. The simulations also reveal that the inner wall buckles for longer tears, whichis supported by clinical CT scans. In all simulated cases , the critical pressureis foundto increase with the opening angle. In other words, residual stress acts to protect theartery against tear propagation. The effect of residual stress is more prominent when atear is of intermediate length~(90 degree arc length). There is an intricate balancebetween tear length, wall buckling, fibre orientation, and residual stress that determinesthe tear propagation.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Hill, Professor Nicholas and Roper, Dr Steven
Authors: Wang, L., Roper, S. M., Hill, N. A., and Luo, X.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Biomechanics and Modeling in Mechanobiology
ISSN (Online):1617-7940
Published Online:09 July 2016
Copyright Holders:Copyright © 2016 The Authors
First Published:First published in Biomechanics and Modeling in Mechanobiology 16(1): 139-149
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
694461EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancerRaymond OgdenEngineering & Physical Sciences Research Council (EPSRC)EP/N014642/1M&S - MATHEMATICS