Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic Tests

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...

Full description

Bibliographic Details
Main Authors: Sergey V. Shil’ko, Dmitriy A. Chernous, Alexander V. Khotko, Aleksey P. Sazankov, Sergey N. Buharov
Format: Article
Language:English
Published: National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering" 2022-06-01
Series:Механика машин, механизмов и материалов
Subjects:
Online Access:http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=1748
_version_ 1818240582873513984
author Sergey V. Shil’ko
Dmitriy A. Chernous
Alexander V. Khotko
Aleksey P. Sazankov
Sergey N. Buharov
author_facet Sergey V. Shil’ko
Dmitriy A. Chernous
Alexander V. Khotko
Aleksey P. Sazankov
Sergey N. Buharov
author_sort Sergey V. Shil’ko
collection DOAJ
description 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.
first_indexed 2024-12-12T13:15:44Z
format Article
id doaj.art-896d5260228947febb21a77f6bd65a23
institution Directory Open Access Journal
issn 1995-0470
2518-1475
language English
last_indexed 2024-12-12T13:15:44Z
publishDate 2022-06-01
publisher National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"
record_format Article
series Механика машин, механизмов и материалов
spelling doaj.art-896d5260228947febb21a77f6bd65a232022-12-22T00:23:25ZengNational Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"Механика машин, механизмов и материалов1995-04702518-14752022-06-012(59)2430https://doi.org/10.46864/1995-0470-2022-2-59-24-30Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic TestsSergey V. Shil’ko0Dmitriy A. Chernous1Alexander V. Khotko2Aleksey P. Sazankov3Sergey N. Buharov4V.A. Belyi Metal-Polymer Research Institute of NAS of BelarusV.A. Belyi Metal-Polymer Research Institute of NAS of Belarus, Belarusian State University of TransportBELSHINA JSCV.A. Belyi Metal Polymer Research Institute of the NAS of BelarusV.A. Belyi Metal Polymer Research Institute of the NAS of BelarusViscoelastic 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.http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=1748tire rubbersviscoelasticityrelaxationtemperaturedeformation frequencydynamic mechanical analysis method
spellingShingle Sergey V. Shil’ko
Dmitriy A. Chernous
Alexander V. Khotko
Aleksey P. Sazankov
Sergey N. Buharov
Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic Tests
Механика машин, механизмов и материалов
tire rubbers
viscoelasticity
relaxation
temperature
deformation frequency
dynamic mechanical analysis method
title Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic Tests
title_full Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic Tests
title_fullStr Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic Tests
title_full_unstemmed Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic Tests
title_short Calculation of Viscoelastic and Thermomechanical Parameters of Tire Rubbers Based on the Results of Dynamic Tests
title_sort calculation of viscoelastic and thermomechanical parameters of tire rubbers based on the results of dynamic tests
topic tire rubbers
viscoelasticity
relaxation
temperature
deformation frequency
dynamic mechanical analysis method
url http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=1748
work_keys_str_mv AT sergeyvshilko calculationofviscoelasticandthermomechanicalparametersoftirerubbersbasedontheresultsofdynamictests
AT dmitriyachernous calculationofviscoelasticandthermomechanicalparametersoftirerubbersbasedontheresultsofdynamictests
AT alexandervkhotko calculationofviscoelasticandthermomechanicalparametersoftirerubbersbasedontheresultsofdynamictests
AT alekseypsazankov calculationofviscoelasticandthermomechanicalparametersoftirerubbersbasedontheresultsofdynamictests
AT sergeynbuharov calculationofviscoelasticandthermomechanicalparametersoftirerubbersbasedontheresultsofdynamictests