A　three-dimensional　W-M　fractal　sliding　model　of　double　rough　surfaces　was　established,　and　the　factors　of　interface　shear　strength　influenced　the　whole　sliding　process　was　considered.　The　maximum　shear　stress　of　sliding　processes　were　analysed　using　the　finite　element　analysis　and　taking　into　account　of　adhesion　factors　in　the　process　of　contact.　The　numerical　results　showed　that　on　condition　that　the　interfacial　shear　strength　is　0.8sy/v　3,　where　sy　is　the　yield　strength,　the　pressure　is　40　MPa,　the　X　direction　velocity　Vx　is　30　m/　s,　the　maximum　shear　stress　was　about　775　MPa,　and　its　location　develop　gradually　from　the　surface　to　the　deep　inside　of　rough　solid.