A quantitative study on temperature variation of rubber under steady state uniaxial tensile cyclic loading

• Published in: Mechanics of materials 2020-09, Vol.148, p.103523, Article 103523
• Main Authors: Le, Tam Hoai, Yoshikawa, Takumi, Kurokawa, Yu, Inoue, Hirotsugu
• Format: Article
• Language: English
• Subjects: Cyclic loading; Entropic elastic effect; Isentropic elastic effect; Steady state; Styrene-butadiene rubber; Temperature variation; Viscous dissipation effect
• ISSN: 0167-6636; 1872-7743
• DOI: 10.1016/j.mechmat.2020.103523

•A theoretical method for predicting temperature variation of carbon black filled styrene butadiene rubber is developed by simultaneously considering three factors: isentropic elastic effect, entropic elastic effect and viscous dissipation effect.•Heat transfer between the specimen and the surrounding air or others is also taken into account.•Isentropic elastic effect is dominant at small deformation area while entropic elastic effect is dominant at large deformation area. There is a phase transition area between these two.•The results obtained from the proposed method are verified by experiment using infrared thermography. Rubber materials under cyclic mechanical loading show special properties compared to other materials. This research aims to quantitatively clarify the relationship between cyclic deformation and temperature variation of carbon black filled styrene-butadiene rubber (SBR) under steady state condition after the rubber is accommodated enough both mechanically and thermally. A dumbbell specimen was subjected to uniaxial cyclic tension at various loading conditions. Temperature variation on the gauge zone surface of the specimen was measured by infrared thermography. In addition to the experiment, the temperature variation of the specimen was also predicted theoretically. The prediction is composed of three parts. The first part shows a three-elements model to reproduce the mechanical behavior with considering residual strain and stress softening. The material parameters are determined to match the experimental data at each loading condition. The second part predicts the temperature variation under adiabatic condition by considering three factors: isentropic elastic, entropic elastic and viscous dissipation effects. Third, a correction scheme is proposed to consider the heat transfer between the specimen and the surrounding air or others. As a result, the temperature amplitude and phase difference between temperature and strain are predicted. The predicted results were compared with the experimental data. It is confirmed that the predicted results are in good agreement with ones obtained by the infrared thermography. Furthermore, the phase difference between temperature and strain is about 180∘ at the small deformation area (isentropic elastic effect dominated) while it is almost about 0∘ at large deformation area (entropic elastic effect dominated). In addition to this, there exists a phase transition area between these two areas. It is conc