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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


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
Issue number4
Publication statusPublished - 2014 Oct 1


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

ASJC Scopus subject areas

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


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