To better understand the low-temperature creep properties of basalt fibre (BF)-reinforced Buton rock asphalt (BRA)-modified asphalt mixture, a rheological test on an asphalt bending beam and a creep test on an asphalt mixture bending beam were performed on the original asphalt (OA), BF-reinforced asphalt (BFA), BRA-modified asphalt (BRAA), BF-reinforced BRA-modified asphalt (BFBRAA), and its mixtures, namely, the OA mixture (OAM), BFA mixture (BFAM), BRAA mixture (BRAAM), and BFBRAA mixture (BFBRAAM). The creep compliance curves of the eight materials were fitted according to the Burgers model, and correlation analysis was conducted on the creep compliance curves of the four groups of materials, namely, OA/OAM, BRAA/BRAAM, BFA/BFAM, and BFBRAA/BFBRAAM. The results showed that as the testing temperature decreased, the creep stiffness modulus of the OA, BRAA, BFA, and BFBRAA increased and the creep rate decreased. Moreover, the failure load values, bending tensile strengths, and stiffness of OAM, BRAAM, BFAM, and BFBRAAM gradually increased while the bending tensile strains gradually decreased, and the creep compliance of OA/OAM, BRAA/BRAAM, BFA/BFAM, and BFBRAA/BFBRAAM decreased. In addition, the test results showed that the addition of BF to asphalt and asphalt mixtures effectively improved their low-temperature deformation properties, whereas the addition of BRA to asphalt and asphalt mixtures led to a decrease in their low-temperature crack resistance. Furthermore, the Burgers model provided a good fit to the creep compliance curves of the eight materials, and a correlation formula of E1, η1, E2, and η2 between asphalt and its mixture at low temperature was established, providing a new perspective and method for analysing the creep characteristics of asphalt mixtures.
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