Abstract: For the homogeneous, linear, time-temperature equivalence viscoelastic material, the heat generation function and approximate control equation of the temperature field are derived from the basic laws of irreversible thermodynamics. The heat generation function is expressed as the simple function of loss modulus and strain amplitude for cyclic deformation. The arbitrary cyclic shape is approximated by Fourier series. The function and equation derived here are suitable for anisotropic, orthotropic and isotropic viscoelastic materials. They can be used to calculate the energy dissipation and temperature field of viscoelastic body, such as steel-cord tire, etc.

Key words: cyclic, viscoelastic, anisotropic, entropy increment, isotropic, heat generation, control equation of temperature field, orthotropic