TY - JOUR
T1 - A fractional approach to 3D artery simulation under a regular pulse load
AU - Palomares-Ruiz, Juan
AU - Ruelas, Efrén
AU - Muñoz, Flavio
AU - Castro, José
AU - RODRIGUEZ SOTO, ANGEL ALEXANDER
N1 - Funding Information:
We want to thankful the institutions that supported the present research project, Tecnol?gico Nacional de M?xico / Instituto Tecnol?gico Superior de Cajeme, the Biomechanics Investigation Group from Universidad Tecnol?gica de la Habana, La Habana, Cuba and the Pontificia Universidad Cat?lica de Valpara?so, Chile.
Publisher Copyright:
© 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
PY - 2020/2/26
Y1 - 2020/2/26
N2 - For the diagnosis and treatment of many pathologies related to arteries, it is necessary to known their mechanical behavior. Previous investigation implement multi-layer structural models for arterial walls based on a Fung model, which can be problematic with the material stability in the convergence sense for finite element methods, issue avoided with a large number of terms in the prony series and the inclusion of relaxation function. On the other hand, this solution increase significantly the computer cost for the solution finding. In this research was implement a 3D simulation of the aorta artery, composed of three different layers that allow identifying how are distributed the stress-strain state caused by the flow pressure. A vectorized geometry was created based on medical tomography images and a fractional linear-standard viscoelastic constitutive model for solids was developed and validated. For the model adjustment was used creep-relaxation experiment data and a set of parameters, in the frequency domain, from a previous calculated complex modulus. The mechanical simulated behavior of the artery section proof that the fractional model showns an accurate representation of the simulated phenomenon, and a lower convergence time.
AB - For the diagnosis and treatment of many pathologies related to arteries, it is necessary to known their mechanical behavior. Previous investigation implement multi-layer structural models for arterial walls based on a Fung model, which can be problematic with the material stability in the convergence sense for finite element methods, issue avoided with a large number of terms in the prony series and the inclusion of relaxation function. On the other hand, this solution increase significantly the computer cost for the solution finding. In this research was implement a 3D simulation of the aorta artery, composed of three different layers that allow identifying how are distributed the stress-strain state caused by the flow pressure. A vectorized geometry was created based on medical tomography images and a fractional linear-standard viscoelastic constitutive model for solids was developed and validated. For the model adjustment was used creep-relaxation experiment data and a set of parameters, in the frequency domain, from a previous calculated complex modulus. The mechanical simulated behavior of the artery section proof that the fractional model showns an accurate representation of the simulated phenomenon, and a lower convergence time.
KW - Biomechanics
KW - Fractional
KW - Hyperelastic
KW - Soft tissues
KW - Zener
UR - http://www.scopus.com/inward/record.url?scp=85082791439&partnerID=8YFLogxK
U2 - 10.3934/mbe.2020138
DO - 10.3934/mbe.2020138
M3 - Article
C2 - 32233552
AN - SCOPUS:85082791439
VL - 17
SP - 2516
EP - 2529
JO - Mathematical Biosciences and Engineering
JF - Mathematical Biosciences and Engineering
SN - 1547-1063
IS - 3
ER -