The　purpose　of　this　study　is　to　develop　a　systematic　meso-level　theoretical　modeling　approach　for　analyzing　the　mode-I　fracture　failure　behaviors　of　concrete.　Firstly,　the　eXtended　Universal　Morphological　Model　(XUMM)　is　briefly　reviewed.　Secondly,　a　normalized　analysis　method　for　the　evaluation　of　effects　of　properties　and　scales　of　meso　structures　on　the　performance　of　concrete　is　proposed　based　on　the　XUMM.　Afterwards,　parametric　studies　regarding　the　aggregate　strength　effect,　the　aggregate　volume　effect,　the　maximum　aggregate　size　(MAS)　effect,　the　tortuosity　of　mesoscopic　crack,　the　roughness　of　fracture　surface　and　the　characteristic　length　are　conducted.　At　last,　a　case　study　on　the　MAS　effect　based　on　experimental　tests　is　provided　to　verify　the　applicability　of　the　XUMM.