Numerical simulation of deformation-induced temperature variations of a rubber ball under cyclic compression

Abstract

The main objective of this study is to predict the temperature variation of a rubber ball under cyclic compression. The prediction scheme is composed of three parts: mechanical analysis, heat source identification and heat transfer analysis. In the mechanical analysis, a compressible hyper-viscoelastic model was employed to describe the mechanical behavior of rubber under cyclic compression, in which material constants were identified using experimental data. In the heat source identification, the heat sources caused by three effects, namely thermoelastic, entropic and viscous dissipation effects were evaluated based on a theoretical consideration. In the heat transfer analysis, the above-mentioned heat sources were used as input to calculate the time variation of the temperature field. The temperature variation inside and on the surface of the ball under both adiabatic and non-adiabatic conditions were discussed. In addition to that, the temperature amplitude and phase difference between temperature and displacement in the steady state were considered.