Computational vascular fluid–structure interaction: methodology and application to cerebral aneurysms

Bazilevs, Yuri; Hsu, Ming‐Chen; Zhang, Yongjie; Wang, W.; Kvamsdal, Trond; Hentschel, Sabine; Isaksen, Jørgen Gjernes

doi:10.1007/s10237-010-0189-7

Cited by 235 publications

(143 citation statements)

References 43 publications

(52 reference statements)

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“…The maximum and minimum strain are in the same region of the channel for all models, which makes them consistent results among themselves and close to other authors, namely Bazilevs et al [41] and Carty et al [13] . After strain and displacement analysis across the channel, some points along the aneurysm dome were analyzed, according to the z direction (fluid flow direction) and the x direction, Fig.…”

Section: Resultssupporting

confidence: 91%

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Cardoso¹,

Fernandes²,

Lima³

et al. 2018

Mechanics Research Communications

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a b s t r a c tBrain aneurysms are pathological dilatations of cerebral arteries and are known as one of the most common and serious cerebrovascular events. However, patients with cerebral aneurysms do not exhibit evident symptoms until they rupture. The main objective of the present study is to perform numerical characterizations of the biomechanical behavior of aneurysms in order to analyze the blood vessel wall behavior during the formation of an aneurysm. By taking into account different geometric and physiological parameters, flow simulations of a well-known Newtonian fluid (glycerin) was performed using the commercial finite volume method package Ansys® -Fluent, and pressure along the channel was determined. These pressures were imported into the channel, in the Ansys®-Static Structural, in order to evaluate and analyze the displacement and strain fields in the channel wall, caused by the internal pressure induced by the fluid flow. All calculations were performed by using the most widely accepted hyperelastic constitutive models and it was found that any constitutive model can be applied to this kind of studies, allowing to visualize where pressure achieves its maximum value and consequently, the most favorable region where the rupture is more likely to occur.

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Section: Resultssupporting

confidence: 91%

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Cardoso¹,

Fernandes²,

Lima³

et al. 2018

Mechanics Research Communications

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“…Although the blood is known to be non-Newtonian in general, several studies, like [7], [11], [31], [26], [19], [27] and [20], assume it to be Newtonian, as we do in this paper. Cebral, et al show in [9] that, for cerebral aneurysms, treatment of blood as Newtonian does not alter the computational results compared to treating it as non-Newtonian.…”

Section: Mechanical Properties and Boundary Conditionsmentioning

confidence: 90%

“…There have been several patient-specific FSI simulations of aneurysms, involving both intracranial aneurysms ( [7], [24], [25], [26], [28]) and AAA, namely abdominal aortic aneurysms ( [12], [31], [18], [22]). Numerous advances in the simulation technology were proposed, but the majority of them involved only computational fluid dynamics (CFD).…”

Section: Introductionmentioning

confidence: 99%

Fluid-Structure Simulations and Benchmarking of Artery Aneurysms Under Pulsatile Blood Flow

Aulisa¹,

Bornia²,

Calandrini³

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. In this paper Fluid-structure interaction (FSI) simulations of artery aneurysms are carried out where both the fluid flow and the hyperelastic material are incompressible. We focus on time-dependent formulations adopting a monolithic approach, where the deformation of the fluid domain is taken into account according to an Arbitrary Lagrangian Eulerian (ALE) scheme. The exact Jacobian matrix is implemented by using automatic differentiation tools. The system is modeled using a specific equation shuffling that assures an optimal pivoting. We propose to solve the resulting linearized system at each nonlinear outer iteration with a GMRES solver preconditioned by a geometric multigrid algorithm with an Additive Schwarz Method (ASM) smoother.In order to test our numerical method on possible hemodynamics applications, we describe several benchmark settings. The configurations consist of realistic artery aneurysms where hybrid meshes are employed. Both two and three-dimensional benchmarks are considered. We show numerical results for the described aneurysm geometries focusing on pulsatile inflow conditions. Parallel implementation is addressed and a case of endovascular stent implantation on a cerebral aneurysm is presented. 955Available online at www.eccomasproceedia.org Eccomas Proceedia COMPDYN (2017) 955-974

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“…However, Bazilevs et al report that the effect is not negligible [21] and account for the viscous traction caused by the fluid when solving the balance of linear momentum for the solid. They obtain the fluid traction vector from a separate steady flow CFD simulation with rigid walls.…”

Section: Existing Solution Methods and Limitationsmentioning

confidence: 99%

Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry andin vivostress incorporation

Bols

Degroote

Trachet³

et al. 2013

ESAIM: M2AN

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Abstract.In vivo visualization of cardiovascular structures is possible using medical images. However, one has to realize that the resulting 3D geometries correspond to in vivo conditions. This entails an internal stress state to be present in the in vivo measured geometry of e.g. a blood vessel due to the presence of the blood pressure. In order to correct for this in vivo stress, this paper presents an inverse method to restore the original zero-pressure geometry of a structure, and to recover the in vivo stress field of the final, loaded structure. The proposed backward displacement method is able to solve the inverse problem iteratively using fixed point iterations, but can be significantly accelerated by a quasiNewton technique in which a least-squares model is used to approximate the inverse of the Jacobian. The here proposed backward displacement method allows for a straightforward implementation of the algorithm in combination with existing structural solvers, even if the structural solver is a black box, as only an update of the coordinates of the mesh needs to be performed.Mathematics Subject Classification. 65D18, 74L15, 49Q10, 65N21, 90C53.

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Computational vascular fluid–structure interaction: methodology and application to cerebral aneurysms

Cited by 235 publications

References 43 publications

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Fluid-Structure Simulations and Benchmarking of Artery Aneurysms Under Pulsatile Blood Flow

Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry andin vivostress incorporation

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