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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Abstract
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 |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Roper, Dr Steven and Luo, Professor Xiaoyu and Hill, Professor Nicholas |
| 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 |
| Publisher: | Springer-Verlag |
| ISSN: | 1617-7959 |
| 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 |
| Related URLs: |
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