A　FEA　model　of　two-dimensional　(2D)　sliding　between　two　interfering　fractal　rough　solids　was　build,　and　the　results　was　presented.　The　trends　in　shear　stress　between　the　rough　solids　were　provided　by　the　FEA.　Combined　with　the　delaminating　theory　of　wear,　the　Maximum　shear　stresses　and　its　distance　are　presented　when　loading　and　sliding.　The　result　showed　that　the　Maximum　shear　stresses　was　located　in　the　subsurface　which　range　about　2　to　8　um　from　the　surface.　In　addition,　with　different　plastic　characteristics,　the　location　of　Maximum　shear　stresses　were　different.　With　modeling　the　contact　and　sliding　between　rough　surfaces,　the　friction,　sub-surface　crack　initiation　and　propagation　and　wear　mechanisms　can　be　understood　deeply.©　(2011)　Trans　Tech　Publications,　Switzerland.