Via　cyclic　loading　and　unloading　tests　of　natural/styrene-butadiene　rubber　(NSBR)　blends　at　room　temperature,　the　effects　of　the　stretching,　rate,　temperature,　and　volume　fraction　of　carbon　black　in　the　filled　rubber　on　a　permanent　set　(residual　strain)　were　studied.　The　results　showed　that　increasing　the　stretching,　rate,　and　volume　fraction　of　carbon　black　and　reducing　the　temperature　yielded　greater　residual　strain.　The　uniaxial　tensile　behaviors　of　composites　with　the　Mullins　effect　and　residual　strain　were　simulated　using　the　ABAQUS　software　according　to　the　aforementioned　data.　An　Ogden-type　constitutive　model　was　derived,　and　the　theory　of　pseudo-elasticity　proposed　by　Ogden　and　Roxburgh　was　used　in　the　model.　It　was　found　that　the　theory　of　pseudo-elasticity　and　the　Ogden　constitutive　model　are　applicable　to　this　composite,　and　if　combined　with　plastic　deformation,　the　models　are　more　accurate　for　calculating　the　residual　strain　after　unloading.　©　2019　LiHong　Huang　et　al.