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

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...

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Bibliographic Details
Published in:Computational mechanics 2024, Vol.73 (1), p.67-87
Main Authors: Mansilla Alvarez, L. A., Ares, G. D., Feijóo, R. A., Blanco, P. J.
Format: Article
Language:English
Subjects:
Approximation
Biomechanics
Blood vessels
Classical and Continuum Physics
Computational Science and Engineering
Engineering
Equilibrium
Interpolation
Mathematical analysis
Mathematical models
Original Paper
Polynomials
Theoretical and Applied Mechanics
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Summary: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.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-023-02356-1