The dynamic constitutive relationship of the rock-like materials is important in the study of the failure threshold of the rock structures and the impact resistance of the structures surrounding the rock and the engineering materials. Especially, the dynamic constitutive relation of the rock-like materials under high strain rate is important for solving engineering problems and designing construction schemes. This paper reviews the dynamic constitutive models of the rock-like materials, focusing on the advantages and the limitations of various dynamic constitutive models, such as the damage model, the dynamic viscoelastic model, the dynamic viscoplastic model, the dynamic viscoelastic plastic model and the empirical model, as well as the latest developments of different theoretical and empirical models, and the future development trend of the dynamic constitutive models. It is pointed out that as a development feature, the theoretical calculation values of the rock-like materials under combined dynamic and static loading are in good agreement with the experimental data.

rock-like material  /  dynamic constitutive relation  /  high strain rate