Abstract: In order to investigate the effects of the recycled aggregate replacement ratio, the aggregate shape and distribution on the meso-cracks of the recycled aggregate concrete under the uniaxial compression loading, several 2-D random models of the circular and convex polygon aggregates by varying the replacement ratios of 0%, 30%, 50%, 70%, and 100% are established. The uniaxial compression test with a displacement load is simulated based on the potential base force element method (BFEM). The results show that the BFEM is a good method to study the meso-fracture damage of the recycled aggregate concrete. Generally, the cracks are always first formed in interfacial transition zones (ITZs), then the cracks are developed into isolated cracks around the aggregate. Finally, up to 2 cracks grow along the 45^\circ direction through the aggregate-concentrated areas. For the circular aggregate, the continuous cracks are developed along the tangential direction of the aggregate and perpendicular to the aggregate diameter. For the convex aggregate, the continuous cracks are developed along the outer contour toward the tip direction of the aggregate parallel to the outer contour of the aggregates. With the increases of the replacement ratios, the compression strength decreases and stabilizes eventually. The compression strength of the convex polygon aggregate of the RAC is slightly higher than that of the circular aggregate.