A Numerical Implementation to Predict Residual Strains from the Homogeneous Stress Hypothesis with Application to Abdominal Aortic Aneurysms
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  • 作者：Stanislav Polzer (1)
    Jiri Bursa (1)
    T. Christian Gasser (2)
    Robert Staffa (3)
    Robert Vlachovsky (3)
  • 关键词：Residual stress ; Abdominal aortic aneurysm ; Finite element analysis ; Patient ; specific geometry
  • 刊名：Annals of Biomedical Engineering
  • 出版年：2013
  • 出版时间：July 2013
  • 年：2013
  • 卷：41
  • 期：7
  • 页码：1516-1527
  • 全文大小：672KB
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  • 作者单位：Stanislav Polzer (1)
    Jiri Bursa (1)
    T. Christian Gasser (2)
    Robert Staffa (3)
    Robert Vlachovsky (3)

    1. Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno University of Technology, Technicka 2896/2, 616 69, Brno, Czech Republic
    2. Department of Solid Mechanics, Royal Institute of Technology, Stockholm, Sweden
    3. 2nd Department of Surgery, St. Anne’s University Hospital, and Faculty of Medicine, Masaryk University, Brno, Czech Republic
  • ISSN：1573-9686
文摘
Wall stress analysis of abdominal aortic aneurysm (AAA) is a promising method of identifying AAAs at high risk of rupture. However, neglecting residual strains (RS) in the load-free configuration of patient-specific finite element analysis models is a sever limitation that strongly affects the computed wall stresses. Although several methods for including RS have been proposed, they cannot be directly applied to patient-specific AAA simulations. RS in the AAA wall are predicted through volumetric tissue growth that aims at satisfying the homogeneous stress hypothesis at mean arterial pressure load. Tissue growth is interpolated linearly across the wall thickness and aneurysm tissues are described by isotropic constitutive formulations. The total deformation is multiplicatively split into elastic and growth contributions, and a staggered schema is used to solve the field variables. The algorithm is validated qualitatively at a cylindrical artery model and then applied to patient-specific AAAs (n?=?5). The induced RS state is fully three-dimensional and in qualitative agreement with experimental observations, i.e., wall strips that were excised from the load-free wall showed stress-releasing-deformations that are typically seen in laboratory experiments. Compared to RS-free simulations, the proposed algorithm reduced the von Mises stress gradient across the wall by a tenfold. Accounting for RS leads to homogenized wall stresses, which apart from reducing the peak wall stress (PWS) also shifted its location in some cases. The present study demonstrated that the homogeneous stress hypothesis can be effectively used to predict RS in the load-free configuration of the vascular wall. The proposed algorithm leads to a fast and robust prediction of RS, which is fully capable for a patient-specific AAA rupture risk assessment. Neglecting RS leads to non-realistic wall stress values that severely overestimate the PWS.

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