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

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

doi:10.1007/s00466-013-0919-7

Cited by 54 publications

(43 citation statements)

References 49 publications

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“…In patient-specific geometries, pre-stress or zero stress geometries are estimated to obtain more realistic geometries, because there is pressure inside the vessel when the image is captured. In a previous study, a zero-stress state was achieved in single-layered and three-layered configurations of an image-based vessel [74]. Three-layered patientspecific geometries considering the initial pressurized state of the vessel would provide more realistic results.…”

Section: Discussionmentioning

confidence: 98%

Investigation of material modeling in fluid–structure interaction analysis of an idealized three-layered abdominal aorta: aneurysm initiation and fully developed aneurysms

Şimşek

Kwon

2015

J Biol Phys

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Different material models for an idealized three-layered abdominal aorta are compared using computational techniques to study aneurysm initiation and fully developed aneurysms. The computational model includes fluid-structure interaction (FSI) between the blood vessel and the blood. In order to model aneurysm initiation, the medial region was degenerated to mimic the medial loss occurring in the inception of an aneurysm. Various cases are considered in order to understand their effects on the initiation of an abdominal aortic aneurysm. The layers of the blood vessel were modeled using either linear elastic materials or Mooney-Rivlin (otherwise known as hyperelastic) type materials. The degenerated medial region was also modeled in either linear elastic or hyperelastic-type materials and assumed to be in the shape of an arc with a thin width or a circular ring with different widths. The blood viscosity effect was also considered in the initiation mechanism. In addition, dynamic analysis of the blood vessel was performed without interaction with the blood flow by applying time-dependent pressure inside the lumen in a three-layered abdominal aorta. The stresses, strains, and displacements were compared for a healthy aorta, an initiated aneurysm and a fully developed aneurysm. The study shows that the material modeling of the vessel has a sizable effect on aneurysm initiation and fully developed aneurysms. Different material modeling of degeneration regions also affects the stressstrain response of aneurysm initiation. Additionally, the structural analysis without considering FSI (called noFSI) overestimates the peak von Mises stress by 52% at the interfaces of the layers.

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Section: Discussionmentioning

confidence: 98%

Investigation of material modeling in fluid–structure interaction analysis of an idealized three-layered abdominal aorta: aneurysm initiation and fully developed aneurysms

Şimşek

Kwon

2015

J Biol Phys

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“…An extensive description of the method for element-based ZS state estimation can be found in [28]. Here we describe some of the core concepts.…”

Section: Element-based Zs State Estimationmentioning

confidence: 99%

“…More explanation of this requirement and references to some of the methods introduced to meet this requirement can be found in [28]. The methods mentioned in [28] include the original version of the technique for calculating an estimated zero-pressure (EZP) arterial geometry [44], and newer EZP versions introduced in [10,17,45], which were also presented in [19,22]. They also include the prestress technique introduced in [15] and further refined in [18], which was also presented in [19,22].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore coronary arterial dynamics computations with such time-dependent anatomical models require prestress calculations or zerostress (ZS) state estimations. More explanation of this requirement and references to some of the methods introduced to meet this requirement can be found in [28]. The methods mentioned in [28] include the original version of the technique for calculating an estimated zero-pressure (EZP) arterial geometry [44], and newer EZP versions introduced in [10,17,45], which were also presented in [19,22].…”

Section: Introductionmentioning

confidence: 99%

“…The first one is the method introduced in [28] for element-based ZS state estimation. The second one is a "mixed ZS state" approach, where the ZS states for different elements in the structural mechanics mesh are estimated with reference configurations based on medical images coming from different instants within the cardiac cycle.…”

Section: Introductionmentioning

confidence: 99%

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Coronary arterial dynamics computation with medical-image-based time-dependent anatomical models and element-based zero-stress state estimates

et al. 2014

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We propose a method for coronary arterial dynamics computation with medical-image-based time-dependent anatomical models. The objective is to improve the computational analysis of coronary arteries for better understanding of the links between the atherosclerosis development and mechanical stimuli such as endothelial wall shear stress and structural stress in the arterial wall. The method has two components. The first one is element-based zero-stress (ZS) state estimation, which is an alternative to prestress calculation. The second one is a "mixed ZS state" approach, where the ZS states for different elements in the structural mechanics mesh are estimated with reference configurations based on medical images coming from different instants within the cardiac cycle. We demonstrate the robustness of the method in a patient-specific coronary arterial dynamics computation where the motion of a thin strip along the arterial surface and two cut surfaces at the arterial ends is specified to match the motion extracted from the medical images.

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Fluid–Structure Interaction and Flows with Moving Boundaries and Interfaces

Tezduyar

Takizawa

Bazilevs

2017

Encyclopedia of Computational Mechanics Second Edition

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Flows with moving boundaries and interfaces (MBI) include fluid–structure interaction and a number of other classes of problems, such as fluid–object interaction, fluid–particle interaction, free‐surface and multifluid flows, and flows with solid surfaces in fast, linear, or rotational relative motion. These problems are frequently encountered in engineering analysis and design, pose some of the most formidable computational challenges, and have a common core computational technology need. Bringing solution and analysis to them motivated the development of a good number of core computational methods and special methods targeting specific classes of MBI problems. This chapter is an overview of some of those core and special methods, with a focus on computational examples from the ST‐VMS and ALE‐VMS methods and special methods developed in conjunction with the two.

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

Cited by 54 publications

References 49 publications

Investigation of material modeling in fluid–structure interaction analysis of an idealized three-layered abdominal aorta: aneurysm initiation and fully developed aneurysms

Investigation of material modeling in fluid–structure interaction analysis of an idealized three-layered abdominal aorta: aneurysm initiation and fully developed aneurysms

Coronary arterial dynamics computation with medical-image-based time-dependent anatomical models and element-based zero-stress state estimates

Fluid–Structure Interaction and Flows with Moving Boundaries and Interfaces

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