MODELING HYPERPLASTIC ELASTOMER MATERIALS USED IN TIRE COMPOUNDS: NUMERICAL AND EXPERIMENTAL STUDY
DOI:
https://doi.org/10.11113/jurnalteknologi.v86.21003Keywords:
Hyperelasticity models, finite element analysis, tire rubber, material parametersAbstract
Analyzing the rubber components of a tire, including the tread and sidewall, is crucial for assessing tire performance attributes. This evaluation enhances vehicle dynamics control and safety levels. Both finite element analysis and experimental tests are employed in this study to achieve accurate estimations. This study centers on Iraqi-manufactured tread and sidewall tires while delving into specific Dunlop components like tread and sidewalls. A highly effective methodology has been developed to ascertain material properties through experimental analysis of hyperelastic rubber models in tires. This approach is executed using ABAQUS, a widely employed commercial finite element software. Addressing rubber's intricate and diverse interactions through a straightforward yet precise phenomenological model holds immense industrial significance. Creating universally applicable design principles for these components remains a persistent challenge in modern industry. This study utilizes simulations to analyze stress-strain responses and compute material parameters for hyperelastic rubber models under tensile loading, employing computer-aided engineering (CAE) to represent stress-strain behavior, especially with varying strain amplitudes comprehensively. Focusing on elastomers, the study assesses the Ogden, Mooney-Rivlin, and reduced polynomial models by extracting coefficients from laboratory tests. It combines experimental and numerical methods to establish validated material constants. Most models yield reasonable results with acceptable deviations. The Neo-Hookean model is the simplest, fitting data up to 30% strain. The moderately complex Mooney-Rivlin and reduced polynomial models accommodate strains up to 100%. While accurate, the Ogden model exhibits higher nonlinearity and increased computational demands based on the material parameters.
References
Lubliner, J. 1985. A Model of Rubber Viscoelasticity. Mechanics Research Communications. 12(2): 93-99. https://doi.org/10.1016/0093-6413(85)90075-8.
E. Kadum Njim, S. Emad, and M. Noori Hamzah. 2023. A Recent Review of the Sandwich-structured Composite Metamaterials: Static and Dynamic Analysis. Jurnal Teknologi. 85(5): 133-149. https://journals.utm.my/jurnalteknologi.
Bharat, V., A. and Dipak, G., C. 2014. A Literature Review on Life Cycle Analysis of Tyre Retreading. Int. J. Sci. Res. 2: 2321-0613.
H. M. Ali A. 2010. A Review of Constitutive Models for Rubber-like Materials. Am. J. Eng. Appl. Sci. 3: 232-239.
Jweeg, M. J., & Al-Jlaihawi, Z. G. A. 2021. Characterization of Natural Rubber (NR), Polybutadiene Rubber (BR) and Styrene-Butadiene Rubber (SBR) Blends Cured in a Vulcanization System. Materials Science Forum. 1039: 51-64. https://doi.org/10.4028/www.scientific.net/msf.1039.51.
Jebur, Q. H., Jweeg, M. J., Al-Waily, M., Ahmad, H. Y., and Resan, K. K. 2021. Hyperelastic Models for the Description and Simulation of Rubber Subjected to Large Tensile Loading. Archives of Materials Science and Engineering. 2(108): 75-85. https://doi.org/10.5604/01.3001.0015.0256.
Ciambella, J., Destrade, M., and Ogden, R. W. 2009. On the ABAQUS FEA Model of Finite Viscoelasticity. Rubber Chemistry and Technology. 82(2): 184-193. https://doi.org/10.5254/1.3548243.
Pelliciari, M., Sirotti, S., and Tarantino, A. M. 2023. A Strain Energy Function for Large Deformations of Compressible Elastomers. In Journal of the Mechanics and Physics of Solids. 176: 105308. https://doi.org/10.1016/j.jmps.2023.105308.
Campos, J. O., et al. 2023. Polynomial Chaos Expansion Surrogate Modeling of Passive Cardiac Mechanics Using the Holzapfel–Ogden Constitutive Model. Journal of Computational Science. 71: 102039. https://doi.org/10.1016/j.jocs.2023.102039.
Sasso, M., Palmieri, G., Chiappini, G., and Amodio, D. 2008. Characterization of Hyperelastic Rubber-like Materials by Biaxial and Uniaxial Stretching Tests based on Optical Methods. In Polymer Testing. 27(8): 995-1004. https://doi.org/10.1016/j.polymertesting.2008.09.001.
Zisis, Th., Zafiropoulou, V. I., and Giannakopoulos, A. E. 2015. Evaluation of Material Properties of Incompressible Hyperelastic Materials based on Instrumented Indentation of an Equal-biaxial Prestretched Substrate. International Journal of Solids and Structures. 64-65: 132-144. https://doi.org/10.1016/j.ijsolstr.2015.03.019.
Anssari-Benam, A., and Hossain, M. 2023. A Pseudo-hyperelastic Model Incorporating the Rate Effects for Isotropic Rubber-like materials. Journal of the Mechanics and Physics of Solids. 179: 105347. https://doi.org/10.1016/j.jmps.2023.105347.
Mirzapour, J. 2023. A Micro-mechanically-based Constitutive Model for Hyperelastic Rubber-like Materials Considering the Topological Constraints. International Journal of Solids and Structures. 275: 112299. https://doi.org/10.1016/j.ijsolstr.2023.112299.
Hao, D., Li, D., and Liao, Y. 2015. A Finite Viscoelastic Constitutive Model for Filled Rubber-like Materials. International Journal of Solids and Structures. 64-65: 232-245). https://doi.org/10.1016/j.ijsolstr.2015.04.002.
Luo, J., Luo, Q., Zhang, G., Li, Q., and Sun, G. 2022. On Strain Rate and Temperature Dependent Mechanical Properties and Constitutive Models for Additively Manufactured Polylactic Acid (PLA) Materials. Thin-Walled Structures. 179: 109624. https://doi.org/10.1016/j.tws.2022.109624.
Khandelwal, S., Keshri, S., and Khan, D. 2022. Influence of Various Material Parameters on Void Growth in Amorphous Glassy Polymers. Materials Today: Proceedings. 56: 1224-1233. https://doi.org/10.1016/j.matpr.2021.11.175.
Hossain, M., Navaratne, R., andPerić, D. 2020. 3D Printed Elastomeric Polyurethane: Viscoelastic Experimental Characterizations and Constitutive Modelling with Nonlinear Viscosity Functions. International Journal of Nonlinear Mechanics. 126: 103546. https://doi.org/10.1016/j.ijnonlinmec.2020.103546.
Wei, W., Yuan, Y., Igarashi, A., Zhu, H., and Luo, K. 2020. Generalized Hyper-viscoelastic Modeling and Experimental Characterization of Unfilled and Carbon Black Filled Natural Rubber for Civil Structural Applications. Construction and Building Materials. 253: 119211. https://doi.org/10.1016/j.conbuildmat.2020.119211.
Narayanan, P., Pramanik, R., and Arockiarajan, A. 2023. A Hyperelastic Viscoplastic Damage Model for Large Deformation Mechanics of Rate-dependent Soft Materials. European Journal of Mechanics - A/Solids. 98: 104874. https://doi.org/10.1016/j.euromechsol.2022.104874.
Korobeynikov, S. N., Larichkin, A. Yu., and Rotanova, T. A. 2022. Hyperelasticity Models Extending Hooke's Law from Small to Moderate Strains and Experimental Verification of Their Scope of Application. International Journal of Solids and Structures. 252: 111815. https://doi.org/10.1016/j.ijsolstr.2022.111815.
Dastjerdi, S., Alibakhshi, A., Akgöz, B., and Civalek, Ö. 2022. A Novel Nonlinear Elasticity Approach for Analysis of Nonlinear and Hyperelastic Structures. Engineering Analysis with Boundary Elements. 143: 219-236. https://doi.org/10.1016/j.enganabound.2022.06.015.
Yanfeng, Z., L., F. 2006. Constitutive Model for Rubber Materials. China Rubber Industry. 53(2): 119-125.
X. Y. Xiaofang L. 2005. A Review of Elastic a Constitutive Model for Rubber Material. China Elastomerics. 15(1): 50-58.
Rugsaj, R., and Suvanjumrat, C. 2018. Finite Element Analysis of Hyperelastic Material Model for Non-Pneumatic Tire. In Key Engineering Materials. 775: 554-559. https://doi.org/10.4028/www.scientific.net/kem.775.554.
M. H, Mosa, M., N Hamzah 2021. Influence of Selection Materials and Construction Techniques on the Ballistic Performance of Armors: A Review. AIP Conference Proceeding. 2404.
Al-Shablle M., Al-Waily M. and Njim, E. K. 2022. Analytical Evaluation of the Influence of Adding Rubber Layers on Free Vibration of Sandwich Structure with the Presence of Nano-reinforced Composite Skins. Archives of Materials Science and Engineering. 116(2): 57-70. https://doi.org/10.5604/01.3001.0016.1190.
Njim, E. K. Bakhy, S. H., and Al-Waily, M. 2022. Analytical and Numerical Flexural Properties of Polymeric Porous Functionally Graded (PFGM) Sandwich Beams. Journal of Achievements in Materials and Manufacturing Engineering. 110(1): 5-10. https://doi.org/10.5604/01.3001.0015.7026.
Hassan, D., S., Bakhy, S. H., and Mohsin, N., H. 2020. Contact Mechanics and Nonlinear Contacts Stiffness for Hemi-elliptical Soft Fingertip in Grasping and Manipulation, Journal of Mechanical Engineering Research and Developments. 44(1): 57-65.
Mohsin, N., H., Subit, D., Boruah, S., Kamiji, K., and Yasuki T. 2013. An Inverse Finite Element Approach for Estimating the Fiber Orientations in Intercostal Muscles, IRCOBI Conference Proceedings - International Research Council on the Biomechanics of Injury. 722-733.
Garcia-Gonzalez, D., Garzon-Hernandez, S., and Arias, A. 2018. A New Constitutive Model for Polymeric Matrices: Application to Biomedical Materials. Composites Part B: Engineering. 139: 117-129. https://doi.org/10.1016/j.compositesb.2017.11.045.
Anssari-Benam, A., and Horgan, C. O. 2022. New Constitutive Models for the Finite Deformation of Isotropic Compressible Elastomers. Mechanics of Materials. 172: 104403. https://doi.org/10.1016/j.mechmat.2022.104403.
Anssari-Benam, A., and Bucchi, A. 2021. A Generalised Neo-Hookean Strain Energy Function for Application to the Finite Deformation of Elastomers. International Journal of Nonlinear Mechanics. 128: 103626. https://doi.org/10.1016/j.ijnonlinmec.2020.103626.
Saadedine, M., Zaïri, F., Ouali, N., Mai, T.-T., Urayama, K., Tamoud, A., and Mesbah, A. 2023. A Multiscale Model for Multiaxial Inelastic Behavior of Elastomeric Particulate Composites. International Journal of Plasticity. 164: 103594. https://doi.org/10.1016/j.ijplas.2023.103594.
Srikanth, K., Sreejith, P., Arvind, K., Kannan, K., & Pandey, M. 2023. An Efficient Mode-of-deformation Dependent Rate-type Constitutive Relation for Multi-modal Cyclic Loading of Elastomers. International Journal of Plasticity. 163: 103517. https://doi.org/10.1016/j.ijplas.2023.103517.
Vitral, E. 2023. Stretch Formulations and the Poynting Effect in Nonlinear Elasticity. International Journal of Nonlinear Mechanics. 148: 104293. https://doi.org/10.1016/j.ijnonlinmec.2022.104293.
Jebur, Q. H., Jweeg, M. J., and Al-Waily, M. 2021. Ogden Model for Characterising and Simulation of PPHR Rubber under Different Strain Rates. Australian Journal of Mechanical Engineering. 21(3): 911-925. https://doi.org/10.1080/14484846.2021.1918375.
Jebur, Q. H., Harrison, P., Guo, Z., Schubert, G., Ju, X., and Navez, V. 2011. Characterisation and Modelling of a Transversely Isotropic Melt-extruded Low-density Polyethylene Closed Cell Foam under Uniaxial Compression. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 226(9): 2168-2177. https://doi.org/10.1177/0954406211431528.
Zemlyanova, A. Y., Mogilevskaya, S. G., & Schillinger, D. 2023. Numerical Solution of the Two-dimensional Steigmann–Ogden Model of Material Surface with a Boundary. Physica D: Nonlinear Phenomena. 443: 133531. https://doi.org/10.1016/j.physd.2022.133531.
Le, T. H., Chan, T., Kurokawa, Y., and Inoue, H. 2022. Numerical Simulation of Deformation-induced Temperature Variations of a Rubber Ball Under Cyclic Compression. International Journal of Solids and Structures. 248: 111664. https://doi.org/10.1016/j.ijsolstr.2022.111664.
Ciambella, J., and Rubin, M. B. 2023. An Elastic–viscoplastic Model with Non-affine Deformation and Rotation of a Distribution of Embedded Fibres. European Journal of Mechanics - A/Solids. 100: 104985. https://doi.org/10.1016/j.euromechsol.2023.104985.
Ciambella, J., and Nardinocchi, P. 2021. A Structurally Frame-indifferent Model for Anisotropic Visco-hyperelastic Materials. Journal of the Mechanics and Physics of Solids. 147: 104247. https://doi.org/10.1016/j.jmps.2020.104247.
Zemlyanova, A. Y., Mogilevskaya, S. G., and Schillinger, D. 2023. Numerical Solution of the Two-dimensional Steigmann–Ogden Model of Material Surface with a Boundary. Physica D: Nonlinear Phenomena. 443: 133531. https://doi.org/10.1016/j.physd.2022.133531.
Kamel, S., H., Hamzah, M., N., Abdulateef, S., A., and Atiyah, Q., A. 2023. A Novel Design of Smart Knee Joint Prosthesis for Above-knee Amputees. FME Transactions. 51(2): 131-139. https://doi.org/10.5937/fme2302131k.
ASTM D412. 2021. Standard Test Methods for Vulcanized Rubber and Thermoplastic Elastomers-Tension.
Oleiwi, K., J., Fahad, D., N., Abdulridha, M. M., Al-Waily, M., and Njim, E. K. 2023. Laser Treatment Effect on Fatigue Characterizations for Steel Alloy Beam Coated with Nanoparticles. International Journal of Nanoelectronics and Materials. 16: 105-119.
Jweeg, M. J., Njim, E. K., Abdullah, O. S., Al-Shammari, M. A., Al-Waily, M., and Bakhy, S. H. 2023. Free Vibration Analysis of Composite Cylindrical Shell Reinforced with Silicon Nanoparticles: Analytical and FEM Approach. Physics and Chemistry of Solid State. 24(1): 26-33. https://doi.org/10.15330/pcss.24.1.26-33.
Mouthanna, A., Bakhy, S. H., Al-Waily, M., and Njim, E. K. 2023. Free Vibration Investigation of Single-Phase Porous FG Sandwich Cylindrical Shells: Analytical, Numerical and Experimental Study. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering. https://doi.org/10.1007/s40997-023-00700-7.
Downloads
Published
Issue
Section
License
Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.