By　using　the　Base　Force　Element　Method　(BFEM)　on　potential　energy　principle,　a　new　numerical　concrete　model,　random　convex　aggregate　model,　is　presented　in　this　paper　to　simulate　the　experiment　under　uniaxial　compression　for　recycled　aggregate　concrete　(RAC)　which　can　also　be　referred　to　as　recycled　concrete.　This　model　is　considered　as　a　heterogeneous　composite　which　is　composed　of　five　mediums,　including　natural　coarse　aggregate,　old　mortar,　new　mortar,　new　interfacial　transition　zone　(ITZ),　and　old　ITZ.　In　order　to　simulate　the　damage　processes　of　RAC,　a　curve　damage　model　was　adopted　as　the　damage　constitutive　model　and　the　strength　theory　of　maximum　tensile　strain　was　used　as　the　failure　criterion　in　the　BFEM　on　mesomechanics.　The　numerical　results　obtained　in　this　paper　which　contained　the　uniaxial　compressive　strengths,　size　effects　on　strength,　and　damage　processes　of　RAC　are　in　agreement　with　experimental　observations.　The　research　works　show　that　the　random　convex　aggregate　model　and　the　BFEM　with　the　curve　damage　model　can　be　used　for　simulating　the　relationship　between　microstructure　and　mechanical　properties　of　RAC.