Abstract: The dynamic shear-slip relationship of FRP-concrete interface is the basis for safety assessment and design of FRP externally strengthened concrete structures under impact loading. A dynamic interfacial shear slip (DISS) model considering strain rate effect is established based on four sets of dynamic single shear test data on FRP-concrete interface and *MAT_COHESIVE_MIXED_MODE_ELASTOPLASTIC_RATE material model in the finite element analysis software LS-DYNA. Numerical simulations based on DISS model are further conducted for three other sets of single shear tests. The applicability of the established model and methods of parameter calculations are verified through the comparisons of interfacial bond stress-slip relationships, load-displacement curves and FRP strain time-histories. Numerical simulations of the impact tests on FRP strengthened RC slabs and RC beams are conducted, in which the interface is described by DISS model, and the results are compared with the results of commonly used methods for FRP-concrete interface contact (share nodes, tiebreak and cohesive). It shows that the simulated midspan deflection based on share nodes method is smaller than the test result, while the results of tiebreak and cohesive contact method are larger than the test results, and the results based on DISS model have the highest accuracy.