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Computational Mechanics
Published in: Computational Mechanics 1/2024

13-06-2023 | Original Paper

A mixed-order interpolation solid element for efficient arterial wall simulations

Authors: L. A. Mansilla Alvarez, G. D. Ares, R. A. Feijóo, P. J. Blanco

Published in: Computational Mechanics | Issue 1/2024

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Abstract

A numerical strategy tailored to model the mechanical equilibrium in vascular vessels is presented. The formulation, based on a specific arrangement of finite elements, exploits the shell-like structure of the vessel wall by proposing a mixed-order approximation of the displacement field. The fields across the thickness are represented by a single element with high order polynomial approximation while the in-plane components are described through low-order 2D polynomials. The formulation is versatile to accommodate any kind of hyperelastic constitutive material model undergoing large strains. A series of numerical examples is presented to validate the effectiveness of the proposed approach. These examples range from benchmark problems reported in the literature to applications in the domain of cardiovascular modeling. The proposed approach proved to be effective and efficient in simulating the mechanics of vascular vessels.
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Metadata
Title
A mixed-order interpolation solid element for efficient arterial wall simulations
Authors
L. A. Mansilla Alvarez
G. D. Ares
R. A. Feijóo
P. J. Blanco
Publication date
13-06-2023
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 1/2024
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-023-02356-1

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