Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-25 |
| Number of pages | 25 |
| Journal | Computational mechanics |
| Volume | 73 |
| Issue number | 1 |
| Early online date | 24 Jun 2023 |
| Publication status | Published - Jan 2024 |
Abstract
We present a general framework for the analysis and modelling of frictional contact involving composite materials. The study has focused on composite materials formed by a matrix of rubber and synthetic or metallic fibres, which is the case of standard tires. We detail the numerical treatment of incompressibility at large deformations that rubber can experience, as well as the stiffening effect that properly oriented fibres will induce within the rubber. To solve the frictional contact between solids, a Dual Augmented Lagrangian Multiplier Method is used together with the Mortar method. This ensures a variationally consistent estimation of the contact forces. A modified Serial-Parallel Rule of Mixtures is employed to model the behaviour of composite materials. This is a simple and novel methodology that allows the blending of constitutive behaviours as diverse as rubber (very low stiffness and incompressible behaviour) and steel (high stiffness and compressible behaviour) taking into account the orientation of the fibres within the material. The locking due to the incompressibility constraint in the rubber material has been overcome by using Total Lagrangian mixed displacement-pressure elements. A collection of numerical examples is provided to show the accuracy and consistency of the methodology presented when solving frictional contact, incompressibility and composite materials under finite strains.
Keywords
- Composite materials, Dual augmented Lagrange multipliers method, Finite element method, Finite strains, Frictional contact, Hyperelasticity, Incompressibility, Mortar method, Tire mechanics
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computational mechanics, Vol. 73, No. 1, 01.2024, p. 1-25.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A numerical framework for modelling tire mechanics accounting for composite materials, large strains and frictional contact
AU - Cornejo, A.
AU - Mataix, V.
AU - Wriggers, P.
AU - Barbu, L. G.
AU - Oñate, E.
N1 - Funding Information: This work has been done within the framework of the Fatigue4Light (H2020-LC-GV-06-2020) project: “Fatigue modelling and fast testing methodologies to optimise part design and to boost lightweight materials deployment in chassis parts”. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 101006844. The authors gratefully acknowledge all the received support. Finally, acknowledge the support received by the Severo Ochoa Centre of Excellence (2019-2023) under the grant CEX2018-000797-S funded by MCIN/AEI/10.13039/501100011033. Finally, the author of this work kindly acknowledges the support, help and funding of its stay at the Institute of Continuum Mechanics within the Leibniz University of Hannover (Germany), where all the developments were successfully conducted.
PY - 2024/1
Y1 - 2024/1
N2 - We present a general framework for the analysis and modelling of frictional contact involving composite materials. The study has focused on composite materials formed by a matrix of rubber and synthetic or metallic fibres, which is the case of standard tires. We detail the numerical treatment of incompressibility at large deformations that rubber can experience, as well as the stiffening effect that properly oriented fibres will induce within the rubber. To solve the frictional contact between solids, a Dual Augmented Lagrangian Multiplier Method is used together with the Mortar method. This ensures a variationally consistent estimation of the contact forces. A modified Serial-Parallel Rule of Mixtures is employed to model the behaviour of composite materials. This is a simple and novel methodology that allows the blending of constitutive behaviours as diverse as rubber (very low stiffness and incompressible behaviour) and steel (high stiffness and compressible behaviour) taking into account the orientation of the fibres within the material. The locking due to the incompressibility constraint in the rubber material has been overcome by using Total Lagrangian mixed displacement-pressure elements. A collection of numerical examples is provided to show the accuracy and consistency of the methodology presented when solving frictional contact, incompressibility and composite materials under finite strains.
AB - We present a general framework for the analysis and modelling of frictional contact involving composite materials. The study has focused on composite materials formed by a matrix of rubber and synthetic or metallic fibres, which is the case of standard tires. We detail the numerical treatment of incompressibility at large deformations that rubber can experience, as well as the stiffening effect that properly oriented fibres will induce within the rubber. To solve the frictional contact between solids, a Dual Augmented Lagrangian Multiplier Method is used together with the Mortar method. This ensures a variationally consistent estimation of the contact forces. A modified Serial-Parallel Rule of Mixtures is employed to model the behaviour of composite materials. This is a simple and novel methodology that allows the blending of constitutive behaviours as diverse as rubber (very low stiffness and incompressible behaviour) and steel (high stiffness and compressible behaviour) taking into account the orientation of the fibres within the material. The locking due to the incompressibility constraint in the rubber material has been overcome by using Total Lagrangian mixed displacement-pressure elements. A collection of numerical examples is provided to show the accuracy and consistency of the methodology presented when solving frictional contact, incompressibility and composite materials under finite strains.
KW - Composite materials
KW - Dual augmented Lagrange multipliers method
KW - Finite element method
KW - Finite strains
KW - Frictional contact
KW - Hyperelasticity
KW - Incompressibility
KW - Mortar method
KW - Tire mechanics
UR - http://www.scopus.com/inward/record.url?scp=85162881884&partnerID=8YFLogxK
U2 - 10.1007/s00466-023-02353-4
DO - 10.1007/s00466-023-02353-4
M3 - Article
AN - SCOPUS:85162881884
VL - 73
SP - 1
EP - 25
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 1
ER -