A dual-scale elasto-viscoplastic constitutive model of metallic materials to describe thermo-mechanically coupled monotonic and cyclic deformations

•A dual-scale constitutive model is established to describe the thermo-mechanically coupled monotonic and cyclic deformations of metallic materials.•At the mesoscopic scale, a crystal plasticity model accounting for the internal heat generation is developed based on the fundamental laws of irreversible thermodynamics.•A self-consistent homogenization scheme is employed to calculate the thermo-mechanical interactions among the grains, and obtain the overall responses of the polycrystalline RVE.•At the macroscopic scale, the overall thermo-mechanical responses of the specimen are obtained by solving the equations of force balance, deformation compatibility, thermodynamic equilibrium and constitutive relationship through an approximation method.•Monotonic, cyclic deformation and temperature evolution of 316L stainless steel can be reasonably predicted by the proposed model.