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Computational Mechanics

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05.11.2016 | Original Paper

Aorta modeling with the element-based zero-stress state and isogeometric discretization

verfasst von: Kenji Takizawa, Tayfun E. Tezduyar, Takafumi Sasaki

Erschienen in: Computational Mechanics | Ausgabe 2/2017

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Abstract

Patient-specific arterial fluid–structure interaction computations, including aorta computations, require an estimation of the zero-stress state (ZSS), because the image-based arterial geometries do not come from a ZSS. We have earlier introduced a method for estimation of the element-based ZSS (EBZSS) in the context of finite element discretization of the arterial wall. The method has three main components. 1. An iterative method, which starts with a calculated initial guess, is used for computing the EBZSS such that when a given pressure load is applied, the image-based target shape is matched. 2. A method for straight-tube segments is used for computing the EBZSS so that we match the given diameter and longitudinal stretch in the target configuration and the “opening angle.” 3. An element-based mapping between the artery and straight-tube is extracted from the mapping between the artery and straight-tube segments. This provides the mapping from the arterial configuration to the straight-tube configuration, and from the estimated EBZSS of the straight-tube configuration back to the arterial configuration, to be used as the initial guess for the iterative method that matches the image-based target shape. Here we present the version of the EBZSS estimation method with isogeometric wall discretization. With isogeometric discretization, we can obtain the element-based mapping directly, instead of extracting it from the mapping between the artery and straight-tube segments. That is because all we need for the element-based mapping, including the curvatures, can be obtained within an element. With NURBS basis functions, we may be able to achieve a similar level of accuracy as with the linear basis functions, but using larger-size and much fewer elements. Higher-order NURBS basis functions allow representation of more complex shapes within an element. To show how the new EBZSS estimation method performs, we first present 2D test computations with straight-tube configurations. Then we show how the method can be used in a 3D computation where the target geometry is coming from medical image of a human aorta.

Vorheriger Artikel The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics

Nächster Artikel A simple triangular finite element for nonlinear thin shells: statics, dynamics and anisotropy

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Titel: Aorta modeling with the element-based zero-stress state and isogeometric discretization
verfasst von: Kenji Takizawa
Tayfun E. Tezduyar
Takafumi Sasaki
Publikationsdatum: 05.11.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Computational Mechanics / Ausgabe 2/2017
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI: https://doi.org/10.1007/s00466-016-1344-5

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