This paper presents a numerical investigation of the shear creep behavior of the epoxy at the concrete-FRP interface. Using the experimental data collected in a previous study (Houhou 2013), creep constitutive equations have been developed based on a modification of Völkersen's model and have been introduced in a finite element code. Therefore, the creep behavior of a double lap adhesive joint is simulated and compared to experimental results. As a main result, it is demonstrated that due to the creep strains, the calculated stresses in the joint corners is lower than the one obtained by elastic prediction.