作者简介：关兵峰(1985-),男,河南洛阳人,中国航天科技集团四院四十二所在读硕士研究生.
作者单位：关兵峰（中国航天科技集团四院四十二所,湖北,襄樊,441003）
魏海捷（中国航天科技集团四院四十二所,湖北,襄樊,441003;青岛科技大学,环境与安全工程学院,青岛,266042）
马国富（中国航天科技集团四院四十二所,湖北,襄樊,441003）
赵春禄（青岛科技大学,环境与安全工程学院,青岛,266042）
参考文献：
[1]吴友平,贾清秀,刘力等.橡胶增强的理论研究[J].合成橡胶工业,2004,27(1):1～5.
[2]Edwards D C.Polymer-filler interaction in rubber reinforcement[J].Journal of Materials Science,1990,25:4175～4185.
[3]Wolff S,et al.Filler-elastomer interactions Part Ⅶ Study on bound rubber[J].Rubber Chemistry and Technology,1993,66(2):163～177.
[4]张立群,贾德民.橡胶的纳米增强技术与理论[A].2004国际橡胶会议论文集[C].2004.57～66.
[5]Julie Diani,Bruno Fayolle,Pierre Gilormini.A review on the Mullins effect[J].European Polymer Journal,2009,45:601～612.
[6]Wang M J.The role of filler networking in dynamic properties of filled rubber[J].Rubber Chemistry and Technology,1999,72:430～448.
[7]李赓.再生炭黑橡胶补强性能的研究[D].杭州:浙江大学,2006.
[8]邓毅.炭黑表面的纳米结构对橡胶补强的作用[J].轮胎工业,2003,23(3):387～391.
[9]王梦蛟.聚合物-填料和填料-填料相互作用对填充硫化胶动态力学性能的影响[J].轮胎工业,2000,20(10):601～605.
[10]谢志民,王友善,马娟娜.填充橡胶中的炭黑网络研究[J].橡胶工业,2008,55:404～407.
[11]Rajdip Bandyopadhyaya,Weizhi Rong,Sheldon K Friedlander.Dynamics of Chain Aggregates of Carbon Nanoparticles in Isolation and in Polymer Films:Implications for Nanocomposite Materials[J].Chemical Material,2004,16:3147～3154.
[12]Hamed G R,Hatfields.On the role of bound rubber in carbon black reinforcement[J].Rubber Chemistry and Technology,1989,62:143～156.
[13]Jean L Leblanc.Rubber-filler interaction and rheological properties in filled compounds[J].Progress in Polymer Science,2002,27:627～687.
[14]Yoshihide Fukahori.New Progress in the Theory and Model of Carbon Black Reinforcement of Elastomers[J].Journal of Applied Polymer Science,2005,95:60～67.
[15]Yoshihide Fukahori.The mechanics and mechanism of the carbon black reinforcement of elastomers[J].Rubber chemistry and technology,2003,76(2):548～565.
[16]Heinrich G,et al.The role of polymer-filler interface in reinforcement of elastomers[J].Kautschuk Gummi Kunststoffe,2004,57(9):452～454.
[17]Medalia A l.Effect of carbon black on dynamic properties of rubber vulcanizates[J].Rubber chemistry and technology,1978,51:437～519.
[18]Felderhof B U,Iske P L.Mean-field approximation to the effective elastic moduli of a solid suspension of spheres[J].Physical Review A,1992,45(15):611～617.
[19]Gregor Huber,Thomas A.Vilgis.On the Mechanism of Hydrodynamic Reinforcement in Elastic Composites[J].Macromolecules,2002,35:9204～9210.
[20]Richard D.Sudduth,Ray Seyfarth.Characteristics of the intrinsic modulus as applied to particulate composites with both soft and hard particulates utilizing the generalized viscosity/modulus equation[J].Journal of Applied Polymer Science,2000,77(9):1954～1963.
[21]Frohlich J,Niedermeier W,Luginsland H D.The effect of filler-filler and filler-elastomer interaction on rubber reinforcement[J].Composites Part A,2005,36:449～460.
[22]Gert Heinrich,Manfred Kluppel,Thomes A.Vilgis.Reinforcement of elastomers[J].Current Opinion in Solid State and Materials Science,2002,(6):195～203.
[23]王志刚,李楠,孔建益.用细观力学模型估算镁碳耐火材料基质的力学性能[J].耐火材料,2008,42(5):386～388.
[24]王志刚,李楠,孔建益.一种改进的广义自洽模型及其在耐火材料性能预测中的应用[A].中国科协第二届优秀博士生学术年会论文集[C].2004.922～927.
[25]Omne`s B,Thuillier B,Pilvin P.Non-linear mechanical behavior of carbon black reinforced elastomers:experiments and multiscale modeling[J].Plastics,Rubber and Composites,2008,37 (5):251～257.
[26]Omne`s B,Thuillier S,Pilvin P.Effective properties of carbon black filled nature rubber Experiments and modeling[J].Composites Part A,2008,39:1141～1149.
[27]Herve Eveline,Zaoui Andre.N-layered inclusion-based micromechanical modeling[J].International Journal of Engineering Science,1993,31(1):1～10.
