Smart Search 


2_2022_sen_3

Title of the article CALCULATION OF VISCOELASTIC AND THERMOMECHANICAL PARAMETERS OF TIRE RUBBERS BASED ON THE RESULTS OF DYNAMIC TESTS
Authors

SHIL’KO Sergey V., Ph. D. in Eng., Assoc. Prof., Head of the Laboratory “Mechanics of Composites and Biopolymers”, V.A. Belyi Metal-Polymer Research Institute of the NAS of Belarus, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

CHERNOUS Dmitriy A., Ph. D. in Eng., Assoc. Prof., Leading Researcher of the Laboratory “Mechanics of Composites and Biopolymers”, V.A. Belyi Metal-Polymer Research Institute of the NAS of Belarus, Gomel, Republic of Belarus; Associate Professor of the Department “Technical Physics and Theoretical Mechanics”, Belarusian State University of Transport, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

KHOTKO Alexander V., Head of the Calculation Studies of Tire Mechanics Division of the Tire Design and Construction Department of the R&D Center, BELSHINA JSC, Bobruisk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

SAZANKOV Aleksey P., Junior Researcher of the Laboratory “Mechanics of Composites and Biopolymers”, V.A. Belyi Metal-Polymer Research Institute of the NAS of Belarus, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

BUHAROV Sergey N., Ph. D. in Eng., Head of the Sector “Vibroacustics of Materials and Tribojoints of Machines”, V.A. Belyi Metal-Polymer Research Institute of the NAS of Belarus, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
In the section DYNAMICS, DURABILITY OF VEHICLES AND STRUCTURES
Year 2022
Issue 2(59)
Pages 24–30
Type of article RAR
Index UDK 539.3; 678.073
DOI https://doi.org/10.46864/1995-0470-2022-2-59-24-30
Abstract Viscoelastic and thermomechanical properties of tire rubbers have been studied to predict hysteresis losses during rolling of automobile tires. The temperature dependences of the elasticity modulus and the tangent of mechanical losses obtained by dynamic mechanical analysis and combined tests in the mode of quasi-static cyclic stretching with subsequent relaxation were used for the calculated determination of the deformation and dissipative parameters of 20 rubber compositions. As a basic theoretical description of rubber as a thermorheologically simple material, a linear viscoelastic Prony model is used, for the identification of which the Willams–Landel–Ferry (WLF) temperature-time analogy is used. The advantage of the computational and experimental approach used is the ability to determine the parameters of the WLF equation regardless of the values of other material characteristics. A fairly simple Mooney–Rivlin potential function for an incompressible material is used to describe large elastic deformations of the elastomer under study. The relaxation curve obtained by means of quasi-static tests is applied to assess the adequacy of the constructed mechanical and mathematical model. In particular, the comparison of the experimental relaxation curve with the results of calculations for tread rubber showed a discrepancy not exceeding 15 %. The performed analysis of viscoelastic and thermomechanical parameters of tire rubbers covers (and significantly exceeds in frequencies) the range of operating temperatures and loads of automobile tires. The results obtained can be used in the computational optimization of the composition of materials and the design of automobile tires according to the criterion of rolling resistance and minimizing heat generation in the tire during movement.
Keywords tire rubbers, viscoelasticity, relaxation, temperature, deformation frequency, dynamic mechanical analysis method
  You can access full text version of the article.
Bibliography
  1. Mechanics of pneumatic tires. Washington, National Bureau of Standards, 1971. 857 p.
  2. Bukhin B.L. Vvedenie v mekhaniku pnevmaticheskikh shin [Introduction to the mechanics of pneumatic tires]. Moscow, Khimiya Publ., 1988. 222 p. (in Russ.).
  3. Nakajima Y. Advanced tire mechanics. Singapore, Springer, 2019. 1265 p.
  4. Khotko A.V., Shil’ko S.V., Buharov S.N. Vozmozhnosti optimalnogo proektirovaniya avtomobilnoy shiny po kriteriyu prostranstvennoy ravnoprochnosti [Possibilities for optimal design of a car tire based on a criterion of spatial strength balance]. Mechanics of machines, mechanisms and materials, 2020, no. 4(53), pp. 11–18 (in Russ.).
  5. Christensen R.M. Theory of viscoelasticity. An introduction. New York, London, Academic Press, 1971.
  6. Kravchuk A.S., Mayboroda V.P., Urzhumtsev Yu.S. Mekhanika polimernykh i kompozitsionnykh materialov [Mechanics of polymer and composite materials]. Moscow, Nauka Publ., 1985. 303 p. (in Russ.).
  7. Ghoreishy M.Н.R. Determination of the parameters of the Prony series in hyper-viscoelastic material models using the finite element method. Materials & design, 2012, vol. 35, pp. 791–797. DOI: https://doi.org/10.1016/j.matdes.2011.05.057.
  8. Chen T. Determining a Prony series for a viscoelastic material from time varying strain data. 2000. 26 p. Available at: https://www.cs.odu.edu/~mln/ltrs-pdfs/NASA-2000-tm210123.pdf (accessed 10 September 2021).
  9. Park S.W., Schapery R.A. Methods of interconversion between linear viscoelastic material functions. Part I – a numerical method based on Prony series. International journal of solids and structure, 1999, vol. 36, iss. 11, pp. 1653–1675. DOI: https://doi.org/10.1016/S0020-7683(98)00055-9.
  10. Rivlin R.S., Saunders D.W. Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber. Philosophical transactions of the royal society A, 1951, vol. 243, iss. 865, pp. 251–288. DOI: https://doi.org/10.1098/rsta.1951.0004.