The　constitutive　model　of　carbon　black　filled　rubber　materials　is　investigated　in　this　paper.　Taking　into　account　the　interaction　between　a　single　chain　with　the　surrounding　molecules　network　and　carbon　black　particles,　a　modified　3-chain　model　is　proposed.　The　interactions　and　constraints　between　molecular　chains　are　described　by　Edward＇s　tube　model　and　the　effects　of　carbon　black　content　on　them　are　considered　by　strain　amplification　factor.　Based　on　this　model,　using　the　theory　of　network　alteration,　a　new　constitutive　model　considering　the　Mullins　effect　is　presented.　Comparing　with　experimental　data,　the　modified　3-chain　model　is　more　suitable　for　characterization　of　the　mechanical　properties　of　unfilled　rubber　with　different　deformation　modes　and　the　uniaxial　tension　mechanical　behavior　of　Carbon　black　particles　filled　rubber　material,　moreover,　the　proposed　model　of　Mullins　has　a　good　description　of　the　Mullins　effect.　©,　2015,　Huazhong　University　of　Science　and　Technology.　All　right　reserved.