Journal
IMA JOURNAL OF APPLIED MATHEMATICS
Volume 79, Issue 5, Pages 1011-1026Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imamat/hxu037
Keywords
aneurysm; biomechanics; anisotropy; Holzapfel-Gasser-Ogden; Abaqus
Categories
Funding
- Fonds de Recherche du Quebec - Sante (FRQ-S) [FRQ-S 20241]
- national scientist award from FRQ-S
- Canadian Institutes of Health Research (CIHR)
- Siemens Canada Limited [IPR-124294]
- Natural Sciences and Engineering Research Council (NSERC) of Canada [CRDPJ 460903-13]
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Computational biomechanics of abdominal aortic aneurysms (AAAs) made it possible to investigate several aspects of the disease and to provide information that would otherwise be difficult to obtain from experiments; the determination of wall stress distributions and rupture risk are two examples. A very few anisotropic strain-energy functions aim to capture vascular biomechanics and involve some coding to specify the collagen fibre orientations. In this study, we developed a solid mechanics framework for the use within Abaqus v. 6.10 (SIMULIA, Providence, RI, USA) with the aim to model the anisotropic response of AAAs in a robust and straightforward way. The proposed framework contains: (i) geometry reconstruction allowing flexible meshing; (ii) generation of 3D centrelines for each arterial branch; (iii) robust assignment of 3D collagen fibre orientation; (iv) AAA parameters for the Holzapfel-Gasser-Ogden model implemented in Abaqus. In the result section, we reproduce published stresses of an idealized geometry under physiological pressure with a difference of 4.41%, and apply the framework to patient-specific geometries. Finally, the simulation of an AAA deformed by two catheters during endovascular aortic repair is demonstrated.
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