Evaluation of long-term fracture behavior of hot mix asphalt modified with Nano reduced graphene oxide (RGO) under freeze–thaw damage and aging conditions

•The long-term performance of HMA and modified HMA mixtures under 3FTC and LTA conditions were compared.•The effect of Nano RGO on the fracture behavior of asphalt mixture at low and intermediate temperatures was evaluated.•The fracture behavior of different mixtures containing vertical and angular cracks were evaluated.•The addition of 0.6 and 0.3% Nano RGO improved the fracture behavior of HMA mixture at low and intermediate temperatures.•Applying 3FTC was suggested to estimate the long-term performance of asphalt mixture.