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Investigation of material modeling in fluid–structure interaction analysis of an idealized three-layered abdominal aorta: aneurysm initiation and fully developed aneurysms

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Abstract

Different material models for an idealized three-layered abdominal aorta are compared using computational techniques to study aneurysm initiation and fully developed aneurysms. The computational model includes fluid–structure interaction (FSI) between the blood vessel and the blood. In order to model aneurysm initiation, the medial region was degenerated to mimic the medial loss occurring in the inception of an aneurysm. Various cases are considered in order to understand their effects on the initiation of an abdominal aortic aneurysm. The layers of the blood vessel were modeled using either linear elastic materials or Mooney–Rivlin (otherwise known as hyperelastic) type materials. The degenerated medial region was also modeled in either linear elastic or hyperelastic-type materials and assumed to be in the shape of an arc with a thin width or a circular ring with different widths. The blood viscosity effect was also considered in the initiation mechanism. In addition, dynamic analysis of the blood vessel was performed without interaction with the blood flow by applying time-dependent pressure inside the lumen in a three-layered abdominal aorta. The stresses, strains, and displacements were compared for a healthy aorta, an initiated aneurysm and a fully developed aneurysm. The study shows that the material modeling of the vessel has a sizable effect on aneurysm initiation and fully developed aneurysms. Different material modeling of degeneration regions also affects the stress–strain response of aneurysm initiation. Additionally, the structural analysis without considering FSI (called noFSI) overestimates the peak von Mises stress by 52% at the interfaces of the layers.

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Abbreviations

AAA:

Abdominal aortic aneurysm

CA:

Cerebral artery

CAA:

CA aneurysm

d:

Material incompressibility parameter

DR case A:

degeneration in region A

FSI:

Fluid–structure interaction

HE:

Hyperelastic

ILT:

Intraluminal thrombus

I1:

First deviatoric strain invariant

J:

The ratio of the deformed elastic volume over the undeformed volume materials

K:

Initial bulk modulus

LE:

Linearly elastic

noFSI:

Transient structural analysis without considering FSI

PVMS:

Peak von Mises stress

PWS:

Peak wall stress

SMC:

Smooth muscle cell

WSS:

Wall shear stress

W:

Strain energy density function

ν:

Poisson’s ratio

μ:

Initial shear modulus of materials

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Authors and Affiliations

  1. Institute of Biomedical Engineering, Bogazici University, Kandilli Camp, Istanbul, Turkey

    Fatma Gulden Simsek

  2. Department of Mechanical and Aerospace Engineering, Naval Postgraduate School, 700 Dyer Road, Monterey, CA, 93943, USA

    Young W. Kwon

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Simsek, F.G., Kwon, Y.W. Investigation of material modeling in fluid–structure interaction analysis of an idealized three-layered abdominal aorta: aneurysm initiation and fully developed aneurysms. J Biol Phys 41, 173–201 (2015). https://doi.org/10.1007/s10867-014-9372-x

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