Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot

Penetration and shared nodes between muscles, tendons and the plantar aponeurosis mesh elements in finite element models of the foot may cause inappropriate structural behavior of the tissues. Penetration between tissues caused using separate mesh without motion constraints or contacts can change th...

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Main Authors: Marco A. Martínez Bocanegra, Javier Bayod López, Agustín Vidal-Lesso, Andrés Mena Tobar, Ricardo Becerro de Bengoa Vallejo
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/15/1719
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author Marco A. Martínez Bocanegra
Javier Bayod López
Agustín Vidal-Lesso
Andrés Mena Tobar
Ricardo Becerro de Bengoa Vallejo
author_facet Marco A. Martínez Bocanegra
Javier Bayod López
Agustín Vidal-Lesso
Andrés Mena Tobar
Ricardo Becerro de Bengoa Vallejo
author_sort Marco A. Martínez Bocanegra
collection DOAJ
description Penetration and shared nodes between muscles, tendons and the plantar aponeurosis mesh elements in finite element models of the foot may cause inappropriate structural behavior of the tissues. Penetration between tissues caused using separate mesh without motion constraints or contacts can change the loading direction because of an inadequate mesh displacement. Shared nodes between mesh elements create bonded areas in the model, causing progressive or complete loss of load transmitted by tissue. This paper compares by the finite element method the structural behavior of the foot model in cases where a shared mesh has been used versus a separated mesh with sliding contacts between some important tissues. A very detailed finite element model of the foot and ankle that simulates the muscles, tendons and plantar aponeurosis with real geometry has been used for the research. The analysis showed that the use of a separate mesh with sliding contacts and a better characterization of the mechanical behavior of the soft tissues increased the mean of the absolute values of stress by 83.3% and displacement by 17.4% compared with a shared mesh. These increases mean an improvement of muscle and tendon behavior in the foot model. Additionally, a better quantitative and qualitative distribution of plantar pressure was also observed.
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spelling doaj.art-aec9855e49584fa2b87a4340c436586a2023-11-22T05:55:37ZengMDPI AGMathematics2227-73902021-07-01915171910.3390/math9151719Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the FootMarco A. Martínez Bocanegra0Javier Bayod López1Agustín Vidal-Lesso2Andrés Mena Tobar3Ricardo Becerro de Bengoa Vallejo4Group of Applied Mechanics and Bioengineering (AMB), Aragon Institute of Engineering Research (i3A), Universidad de Zaragoza, 50018 Zaragoza, SpainGroup of Applied Mechanics and Bioengineering (AMB), Aragon Institute of Engineering Research (i3A), Universidad de Zaragoza, 50018 Zaragoza, SpainMechanical Engineering Department, Engineering Division of the Irapuato-Salamanca Campus (DICIS), Universidad de Guanajuato, Salamanca 36885, Guanajuato, MexicoGroup of Applied Mechanics and Bioengineering (AMB), Aragon Institute of Engineering Research (i3A), Universidad de Zaragoza, 50018 Zaragoza, SpainNursing Department, Faculty of Nursing, Physiotherapy and Podiatry, Universidad Complutense de Madrid, 28040 Madrid, SpainPenetration and shared nodes between muscles, tendons and the plantar aponeurosis mesh elements in finite element models of the foot may cause inappropriate structural behavior of the tissues. Penetration between tissues caused using separate mesh without motion constraints or contacts can change the loading direction because of an inadequate mesh displacement. Shared nodes between mesh elements create bonded areas in the model, causing progressive or complete loss of load transmitted by tissue. This paper compares by the finite element method the structural behavior of the foot model in cases where a shared mesh has been used versus a separated mesh with sliding contacts between some important tissues. A very detailed finite element model of the foot and ankle that simulates the muscles, tendons and plantar aponeurosis with real geometry has been used for the research. The analysis showed that the use of a separate mesh with sliding contacts and a better characterization of the mechanical behavior of the soft tissues increased the mean of the absolute values of stress by 83.3% and displacement by 17.4% compared with a shared mesh. These increases mean an improvement of muscle and tendon behavior in the foot model. Additionally, a better quantitative and qualitative distribution of plantar pressure was also observed.https://www.mdpi.com/2227-7390/9/15/1719foot finite element methodfoot and ankle modelshared nodesseparated meshplantar pressure
spellingShingle Marco A. Martínez Bocanegra
Javier Bayod López
Agustín Vidal-Lesso
Andrés Mena Tobar
Ricardo Becerro de Bengoa Vallejo
Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot
Mathematics
foot finite element method
foot and ankle model
shared nodes
separated mesh
plantar pressure
title Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot
title_full Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot
title_fullStr Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot
title_full_unstemmed Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot
title_short Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot
title_sort numerical assessment of the structural effects of relative sliding between tissues in a finite element model of the foot
topic foot finite element method
foot and ankle model
shared nodes
separated mesh
plantar pressure
url https://www.mdpi.com/2227-7390/9/15/1719
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