Some specific features and consequences of the thermal response of rubber under cyclic mechanical loading

Xavier Balandraud (1, 2) , Jean-Benoit Le Cam (3)

1 LAMI - Laboratoire de Mécanique et Ingénieries
2 IP - Institut Pascal
3 IPR - Institut de Physique de Rennes

The present paper deals with the specificities of the thermal response of rubber under cyclic mechanical loading at constant ambient temperature. This question is important, since the stabilized thermal response is used in fatigue life criteria, especially for the fast evaluation of fatigue life. For this purpose, entropic coupling in a thermo-hyperelastic framework is first used to predict the variation in the heat source produced or absorbed by the material during cyclic loading. The heat diffusion equation is then used to deduce temperature variations under adiabatic and non-adiabatic conditions. The influence of several parameters on the stabilized thermal response is studied: signal shape, frequency, minimum and maximum stretch levels, multiaxiality of the mechanical state. The results show that, in the steady-state regime, the mean value between the maximum and minimum temperature variations over a mechanical cycle is different from zero. This is due to the specific variation in the heat source, which depends on both the stretch rate and the stretch level. This result has numerous consequences, in particular for fatigue. Indeed, the stabilized mean value between the maximum and minimum temperature variations during fatigue tests does not reflect only fatigue damage, since the entropic coupling also leads to a value different from zero. This is a major difference with respect to materials exhibiting only isentropic coupling, such as metallic materials.

Mots clés: Rubber elasticity; Thermomechanical couplings; Heat source; Heat diffusion equation

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Xavier Balandraud, Jean-Benoit Le Cam. Some specific features and consequences of the thermal response of rubber under cyclic mechanical loading. Archive of Applied Mechanics, 2014, 84 (6), pp.773-788. ⟨10.1007/s00419-014-0832-3⟩. ⟨hal-01005745⟩