Aorta zero-stress state modeling with T-spline discretization

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    The image-based arterial geometries used in patient-specific arterial fluid–structure interaction (FSI) computations, such as aorta FSI computations, do not come from the zero-stress state (ZSS) of the artery. We propose a method for estimating the ZSS required in the computations. Our estimate is based on T-spline discretization of the arterial wall and is in the form of integration-point-based ZSS (IPBZSS). The method has two main components. (1) An iterative method, which starts with a calculated initial guess, is used for computing the IPBZSS such that when a given pressure load is applied, the image-based target shape is matched. (2) A method, which is based on the shell model of the artery, is used for calculating the initial guess. The T-spline discretization enables dealing with complex arterial geometries, such as an aorta model with branches, while retaining the desirable features of isogeometric discretization. With higher-order basis functions of the isogeometric discretization, 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. In addition, the higher-order basis functions allow representation of more complex shapes within an element. The IPBZSS is a convenient representation of the ZSS because with isogeometric discretization, especially with T-spline discretization, specifying conditions at integration points is more straightforward than imposing conditions on control points. Calculating the initial guess based on the shell model of the artery results in a more realistic initial guess. To show how the new ZSS estimation method performs, we first present 3D test computations with a Y-shaped tube. Then we show a 3D computation where the target geometry is coming from medical image of a human aorta, and we include the branches in our model.

    Original languageEnglish
    JournalComputational Mechanics
    DOIs
    Publication statusAccepted/In press - 2018 Jan 1

    Fingerprint

    Aorta
    Splines
    Spline
    Discretization
    Guess
    Zero
    Arteries
    Modeling
    Basis Functions
    Shell Model
    Branch
    Geometry
    Higher Order
    Target
    Control Points
    Complex Geometry
    State Estimation
    Medical Image
    Interaction
    Linear Function

    Keywords

    • Aorta
    • Image-based geometry
    • Integration-point-based zero-stress state
    • Isogeometric wall discretization
    • Patient-specific arterial FSI
    • Shell-model-based initial guess
    • T-spline basis functions
    • Zero-stress state

    ASJC Scopus subject areas

    • Computational Mechanics
    • Ocean Engineering
    • Mechanical Engineering
    • Computational Theory and Mathematics
    • Computational Mathematics
    • Applied Mathematics

    Cite this

    Aorta zero-stress state modeling with T-spline discretization. / Sasaki, Takafumi; Takizawa, Kenji; Tezduyar, Tayfun E.

    In: Computational Mechanics, 01.01.2018.

    Research output: Contribution to journalArticle

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    abstract = "The image-based arterial geometries used in patient-specific arterial fluid–structure interaction (FSI) computations, such as aorta FSI computations, do not come from the zero-stress state (ZSS) of the artery. We propose a method for estimating the ZSS required in the computations. Our estimate is based on T-spline discretization of the arterial wall and is in the form of integration-point-based ZSS (IPBZSS). The method has two main components. (1) An iterative method, which starts with a calculated initial guess, is used for computing the IPBZSS such that when a given pressure load is applied, the image-based target shape is matched. (2) A method, which is based on the shell model of the artery, is used for calculating the initial guess. The T-spline discretization enables dealing with complex arterial geometries, such as an aorta model with branches, while retaining the desirable features of isogeometric discretization. With higher-order basis functions of the isogeometric discretization, 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. In addition, the higher-order basis functions allow representation of more complex shapes within an element. The IPBZSS is a convenient representation of the ZSS because with isogeometric discretization, especially with T-spline discretization, specifying conditions at integration points is more straightforward than imposing conditions on control points. Calculating the initial guess based on the shell model of the artery results in a more realistic initial guess. To show how the new ZSS estimation method performs, we first present 3D test computations with a Y-shaped tube. Then we show a 3D computation where the target geometry is coming from medical image of a human aorta, and we include the branches in our model.",
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