Estimation of element-based zero-stress state for arterial FSI computations

Kenji Takizawa, Hirokazu Takagi, Tayfun E. Tezduyar, Ryo Torii

    Research output: Contribution to journalArticle

    26 Citations (Scopus)

    Abstract

    In patient-specific arterial fluid–structure interaction (FSI) computations the image-based arterial geometry comes from a configuration that is not stress-free. We present a method for estimation of element-based zero-stress (ZS) state. The method has three main components. (1) An iterative method, which starts with an initial guess for the ZS state, is used for computing the element-based ZS state such that when a given pressure load is applied, the image-based target shape is matched. (2) A method for straight-tube geometries with single and multiple layers is used for computing the element-based ZS state 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 arterial and straight-tube configurations is used for mapping from the arterial configuration to the straight-tube configuration, and for mapping the estimated ZS state of the straight tube back to the arterial configuration, to be used as the initial guess for the iterative method that matches the image-based target shape. We present a set of test computations to show how the method works.

    Original languageEnglish
    Pages (from-to)895-910
    Number of pages16
    JournalComputational Mechanics
    Volume54
    Issue number4
    DOIs
    Publication statusPublished - 2014 Oct 1

    Fingerprint

    Straight
    Configuration
    Tube
    Zero
    Interaction
    Guess
    Iterative methods
    Target
    Iteration
    Geometry
    Computing
    Stretch
    Loads (forces)
    Angle

    Keywords

    • Arterial FSI
    • Estimated zero-stress state
    • Image-based geometry
    • Multiple layers
    • Opening angle
    • Straight tube
    • Zero-stress state

    ASJC Scopus subject areas

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

    Cite this

    Estimation of element-based zero-stress state for arterial FSI computations. / Takizawa, Kenji; Takagi, Hirokazu; Tezduyar, Tayfun E.; Torii, Ryo.

    In: Computational Mechanics, Vol. 54, No. 4, 01.10.2014, p. 895-910.

    Research output: Contribution to journalArticle

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