Hysteresis friction modelling of BPT considering rubber penetration depth into road surface

References

• Al-Assi, M., and Kassem, E., 2017. Evaluation of adhesion and hysteresis friction of rubber-pavement system. Applied Sciences, 7, 1029. doi:10.3390/app7101029.
   Google Scholar
• Alhasan, A., et al., 2018. Pavement friction modeling using texture measurements and pendulum skid tester. Transportation Research Record, 2672 (40), 440–451. doi:10.1177/0361198118774165.
   Web of Science ®Google Scholar
• ASTM, 2018. Standard test method for measuring surface frictional properties using the British pendulum tester. West Conshohocken, PA.
   Google Scholar
• Chu, L., et al., 2020. Theoretical and practical engineering significance of British pendulum test. International Journal of Pavement Engineering, 1–8. doi:10.1080/10298436.2020.1726351.
   Web of Science ®Google Scholar
• Do, M.-T., et al., 2020. Questioning the approach to predict the evolution of tire/road friction with traffic from road surface texture. Surface Topography: Metrology and Properties, 8 (2). doi:10.1088/2051-672X/ab8ba9.
   Web of Science ®Google Scholar
• Ferry, J.D., 1980. Viscoelastic properties of polymers. 3rd ed. New York: John Wiley & Sons.
   Google Scholar
• Hall, J.W., et al., 2009. Guide-for-pavement-friction-nchrp-108.
   Google Scholar
• Heinrich, G., et al., 2000. Evaluation of self-affine surfaces and their implication for frictional dynamics as illustrated with a rouse material. Computational and Theoretical Polymer Science, 10 (1-2), 53–61. doi:10.1016/S1089-3156(99)00033-1.
   Google Scholar
• Hu, X., 2013. Micro-and macro-viscohyperelastic behavior of carbon black filled rubbers. Doctoral. Xiangtan University.
   Google Scholar
• Kane, M., and Cerezo, V, 2015. A contribution to tire/road friction modeling: from a simplified dynamic frictional contact model to a “dynamic friction tester” model. Wear, 342-343, 163–171. doi:10.1016/j.wear.2015.08.007.
   Web of Science ®Google Scholar
• Le Gal, A., and Klüppel, M., 2008. Investigation and modelling of rubber stationary friction on rough surfaces. Journal of Physics: Condensed Matter, 20 (1), 015007. doi:10.1088/0953-8984/20/01/015007.
   Web of Science ®Google Scholar
• Liu, Y.R., et al., 2003. Finite-element modeling of skid resistance test. Journal of Transportation Engineering, 129 (3), 316–321. doi:10.1061/(ASCE)0733-947X(2003)129:3(316).
   Google Scholar
• Lorenz, B., et al., 2010. Average separation between a rough surface and a rubber block: comparison between theories and experiments. Wear, 268 (7-8), 984–990. doi:10.1016/j.wear.2009.12.029.
   Web of Science ®Google Scholar
• Lorenz, B., and Persson, B.N., 2009. Interfacial separation between elastic solids with randomly rough surfaces: comparison of experiment with theory. Journal of Physics: Condensed Matter, 21 (1), 015003. doi:10.1088/0953-8984/21/1/015003.
   PubMed Web of Science ®Google Scholar
• Meyer, W.E., and Kummer, H.W., 1962. Mechanism of force transmission between tire and road. SAE Technical Paper 620407.
   Google Scholar
• Persson, B.N.J., 2001. Theory of rubber friction and contact mechanics. Journal of Chemical Physics, 115 (8), 3840–3861. doi:10.1063/1.1388626.
   Web of Science ®Google Scholar
• Persson, B.N, 2007. Relation between interfacial separation and load: A general theory of contact mechanics. Physical Review Letters, 99 (12), 125502. doi:10.1103/PhysRevLett.99.125502.
   PubMed Web of Science ®Google Scholar
• Tiwari, A., et al., 2018. Rubber friction: The contribution from the area of real contact. Journal of Chemical Physics, 148 (22), 224701. doi:10.1063/1.5037136.
   PubMed Web of Science ®Google Scholar
• Villani, M.M., et al., 2011. Contribution of hysteresis component of tire rubber friction on stone surfaces. Transportation Research Record: Journal of the Transportation Research Board, 2227 (1), 153–162. doi:10.3141/2227-17.
   Web of Science ®Google Scholar
• Wagner, P., et al., 2015. Multiscale fem approach for hysteresis friction of rubber on rough surfaces. Computer Methods in Applied Mechanics and Engineering, 296, 150–168. doi:10.1016/j.cma.2015.08.003.
   Web of Science ®Google Scholar
• Wang, D., et al., 2014. Tire-road contact stiffness. Tribology Letters, 56, 397–402. doi:10.1007/s11249-014-0417-x.
   Web of Science ®Google Scholar
• Xiao, S.Q., et al., 2021. Scale demarcation of self-affine surface of coarse aggregate and its relationship with rubber friction. Road Materials and Pavement Design, 22 (8), 1842–1859. doi:10.1080/14680629.2020.1728365.
   Web of Science ®Google Scholar
• Yang, C., and Persson, B.N., 2008a. Molecular dynamics study of contact mechanics: contact area and interfacial separation from small to full contact. Physical Review Letters, 100 (2), 024303. doi:10.1103/PhysRevLett.100.024303.
   PubMed Web of Science ®Google Scholar
• Yang, C., and Persson, B.N.J., 2008b. Contact mechanics: contact area and interfacial separation from small contact to full contact. Journal of Physics: Condensed Matter, 20 (21), doi:10.1088/0953-8984/20/21/215214.
   Web of Science ®Google Scholar
• Yin, B., et al., 2017. Evaluation of classic and fractional models as constitutive relations for carbon black–filled rubber. Journal of Elastomers & Plastics, 50 (5), 463–477. doi:10.1177/0095244317733767.
   Web of Science ®Google Scholar
• Zhong, K., et al., 2020. Research on dynamic evaluation model and early warning technology of anti-sliding risk for the airport pavement. Construction and Building Materials, 239, 117820. doi:10.1016/j.conbuildmat.2019.117820.
   Web of Science ®Google Scholar
• Zhu, S.Z., et al., 2017. Numerical study of tire hydroplaning based on power spectrum of asphalt pavement and kinetic friction coefficient. Advances in Materials Science and Engineering, 2017, 1–11. doi:10.1155/2017/5843061.
   Web of Science ®Google Scholar