An elastoplastic damage constitutive model for capturing dynamic enhancement effect of rock and concrete through equivalent stress history

•Dynamic strengths are predicted by the incubation characteristic time (ICT) criterion.•Unified strength theory is coupled with the ICT to develop a new constitutive model.•Two plasticity-damage laws are introduced to describe the mechanical degradation.•The proposed model implemented in ABAQUS is examined by single element tests.•Comparisons of experimental and numerical results validate the proposed model.