A　mesoscopic　numerical　simulation　method,　which　considers　the　development　of　concrete　cracks　during　propagation　around　or　through　aggregate,　is　proposed.　Firstly,　the　basic　principle　of　self-consistent　finite　stress　model　for　mode-I　fracture　analysis　of　concrete-like　materials　is　reviewed.　Then,　the　finite　element　method　is　used　to　verify　the　equivalence　between　the　self-consistent　finite　stress　principle　modeling　and　the　conventional　modeling　from　two　dimensions　of　local　energy　equivalence　and　macroscopic　mechanical　equivalence.　Finally,　a　numerical　simulation　method　based　on　the　self-consistent　finite　stress　principle　and　meso-fracture　propagation　path　criterion　is　developed　to　simulate　the　meso-fracture　failure　behaviors　such　as　the　development　of　concrete　cracks　around　and　through　aggregate　at　the　meso-scale.　The　research　results　in　this　work　can　lay　the　foundation　for　the　subsequent　development　of　efficient　numerical　analysis　methods　based　on　mesoscopic　fracture　failure　criteria.　©　2024　Chinese　Society　of　Civil　Engineering.　All　rights　reserved.