Anisotropic hierarchic solid finite elements for the simulation of passive–active arterial wall models

Sepahi, O.; Radtke, Lars; Debus, Sebastian; Düster, Alexander

doi:10.1016/j.camwa.2017.08.007

Cited by 7 publications

(2 citation statements)

References 37 publications

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“…Different variants of the model have been proposed, including the ones by [235], which take into account the active behavior of the smooth muscle cells in the media. In [176,236], the numerical solution of structural mechanics problems including the HGO model is emphasized. Less frequently than for single field structural simulations, the HGO model has also been applied to FSI simulations, see [163,112].…”

Section: Constitutive Models For Soft Tissuementioning

confidence: 99%

A partitioned solution approach for fluid-structure interaction problems in the arterial system

Radtke¹

2020

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The present work is concerned with the partitioned solution of the multifeld problem arising from a hierarchical modeling approach to cardiovascular ﬂuid-structure interaction. Different strategies to couple the participating feld solvers are investigated in detail. This includes staggered and parallel coupling algorithms as well as different methods for convergence acceleration, spatial interpolation and temporal extrapolation of coupling quantities. In the developed modeling and simulation approach, a fully resolved model of a segment of the arterial network is coupled to reduced order models in order to account for the inﬂuence of the surrounding. There is experimental evidence that hemodynamic quantities such as the wall shear stress promote the progression cardiovascular disease. Cardiovascular FSI simulations, that can predict these quantities, are therefore of great interest and can aid in surgical planning and optimization of anastomoses shapes and graft materials. Contents...

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Section: Constitutive Models For Soft Tissuementioning

confidence: 99%

A partitioned solution approach for fluid-structure interaction problems in the arterial system

Radtke¹

2020

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“…However, there might be also difficulties for low order elements. Regarding numerical difficulties, such as locking effects due to constraints in fiber direction under particular loading conditions, see [18,19] and the literature cited therein. In our contribution fine meshes and quadratic shape functions are chosen to minimize numerical problems.…”

Section: Introductionmentioning

confidence: 99%

Modeling of fiber circumplacement around a hole using a streamline approach

Hartmann¹,

Marghzar²

2018

Universal Journal of Mathematics and Applications

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The insertion of holes into laminates can be done by producing a fiber reinforced composite plate and, subsequently, drilling the borehole. Alternatively, we can bypass the fibers around the final hole before injecting the matrix material. In the first case, the spatial distribution of the axis of anisotropy, and the structural tensor concerned, are spatially constant. In the second case, i.e. the fiber circumplacement around the hole, a space-dependent anisotropy has to be considered. Instead of the common approach of defining region-wise constant fiber orientations, we propose a continuous formulation of fiber orientations using streamlines. To estimate the final stress and strain state for a unidirectional composite plate, three-dimensional finite element simulations are performed, where spatially constant transverse isotropy is compared to inhomogeneously distributed fiber orientation around the hole. It will turn out that the resulting stress states lead to both reduced stress amplitudes in loading direction as well as compressive strains in lateral direction. A detailed mathematical derivation of the basic equations accompanies the investigations.

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Multiscale Experimental Characterization and Computational Modeling of the Human Aorta

Dalbosco

Haspinger

et al. 2022

Studies in Mechanobiology, Tissue Engineering and Biomaterials

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Anisotropic hierarchic solid finite elements for the simulation of passive–active arterial wall models

Cited by 7 publications

References 37 publications

A partitioned solution approach for fluid-structure interaction problems in the arterial system

A partitioned solution approach for fluid-structure interaction problems in the arterial system

Modeling of fiber circumplacement around a hole using a streamline approach

Multiscale Experimental Characterization and Computational Modeling of the Human Aorta

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