N330炭黑增强橡胶复合材料力学行为的数值研究
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摘要
通过力学实验获得了四种不同体积含量N330炭黑填充天然橡胶的应力-应变行为的试验曲线,利用电镜试验获得了炭黑填充橡胶复合材料的细观结构形貌特征图像,建立了不同粒径大小的二维多颗粒随机分布式代表性体积单元,对N330炭黑填充天然橡胶的力学行为进行了数值模拟。仿真结果表明:当N330的填充量为7%时,模型预测结果高于实验结果;当N330的填充量为15%和25%时,模型预测结果先是与实验结果吻合良好,而当达到一定的应变值时,模型预测结果便开始偏离实验结果。说明在一定应变范围内该模型对N330增强天然橡胶材料的力学行为具有较好的预测能力。
Stress-strain behavior test curves of four different volume fraction of N330 carbon black filled natural rubber composites have been obtained by mechanical test. Microstructural features of carbon black filled rubber composite has been gotten through scanning electron microscope observation. Two-dimensional Representative Volume Elements containing multi-particles with different size random distribution have been established, and the macromechanical properties of the carbon black filled rubber composites have been studied and analyzed by the micromechanical nonlinear finite element method. The research shows that the prediction results with 7 percent filler content on the stress-strain behavior are higher than experimental results. The prediction results with 15 and 25 percent filler content are consistent well with the experimental results, until the certain strain are lower gradually than the experimental results. And it demonstrates that the two-dimensional model can be used for simulation analysis of stress-strain behavior of the carbon black filler particle reinforced rubber matrix composites.
Stress-strain behavior test curves of four different volume fraction of N330 carbon black filled natural rubber composites have been obtained by mechanical test. Microstructural features of carbon black filled rubber composite has been gotten through scanning electron microscope observation. Two-dimensional Representative Volume Elements containing multi-particles with different size random distribution have been established, and the macromechanical properties of the carbon black filled rubber composites have been studied and analyzed by the micromechanical nonlinear finite element method. The research shows that the prediction results with 7 percent filler content on the stress-strain behavior are higher than experimental results. The prediction results with 15 and 25 percent filler content are consistent well with the experimental results, until the certain strain are lower gradually than the experimental results. And it demonstrates that the two-dimensional model can be used for simulation analysis of stress-strain behavior of the carbon black filler particle reinforced rubber matrix composites.
引文
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[12] 李庆,杨晓翔.炭黑增强橡胶复合材料力学行为的三维数值模拟[J].固体力学学报,2013,34(6):541-549.
[13] 李庆,杨晓翔.颗粒增强橡胶细观力学性能的二维数值模拟[J].应用力学学报,2012,29(5):607-612.
[14] 李庆,杨晓翔.炭黑填充橡胶复合材料的宏细观力学行为研究[J].机械工程学报,2013,49(18):132-139.
[15] Gitman I M,Askes H,Sluys L J.Representative volume:Existence and size determination[J].Engineering Fracture Mechanics,2007,74:2518-2534.
[16] Boyce M C,Arruda E M.Constitutive models of rubber elasticity:a review[J].Rubber chemistry and technology,2000,73(3):504-552.
[2] Tayeb N S M E,Nasir R M.Effect of soft carbon black on tribology of deproteinised and polyisoprene rubbers[J].Wear,2007,262:350-361.
[3] Felhos D,Kocsis J K.Tribological testing of peroxide-cured EPDM rubbers with different carbon black contents under dry sliding conditions against steel[J].Tribology International,2008,41:404-415.
[4] 李庆,杨晓翔.N330炭黑增强天然橡胶材料力学性能的实验研究[J].实验力学,2014,29(1):42-50.
[5] Hon A A,Busfield J J C,Thomas A G.Filler reinforcement in rubber carbon black systems[C]//Constitutive Models for Rubber Ⅲ.2003:301-307.
[6] Hon A A.Modelling filler reinforcement in elastomers[D].Queen Mary:University of London,2005.
[7] 尹中.炭黑/天然橡胶复合体系导热性能的实验研究及理论分析[D].山东:青岛科技大学,2010.
[8] Bergstrom J S,Boyce M C.Mechanical behavior of particle filled elastomers[J].Rubber Chemistry and Technology,1999,72:633-656.
[9] Bergstrom J S,Boyce M C.Large strain time-dependent behavior of filled elastomers[J].Mechanics of Materials,2000,32:627-644.
[10] Li X,XiaY,Li Z,et al.Three-dimensional numerical simulations on the hyperelastic behavior of carbon-black particle filled rubbers under moderate finite deformation[J].Computational Materials Science,2012,55:157-165.
[11] 李庆,杨晓翔.基于周期性边界条件的炭黑填充橡胶复合材料力学行为的预测[J].复合材料学报,2013,30(6):159-167.
[12] 李庆,杨晓翔.炭黑增强橡胶复合材料力学行为的三维数值模拟[J].固体力学学报,2013,34(6):541-549.
[13] 李庆,杨晓翔.颗粒增强橡胶细观力学性能的二维数值模拟[J].应用力学学报,2012,29(5):607-612.
[14] 李庆,杨晓翔.炭黑填充橡胶复合材料的宏细观力学行为研究[J].机械工程学报,2013,49(18):132-139.
[15] Gitman I M,Askes H,Sluys L J.Representative volume:Existence and size determination[J].Engineering Fracture Mechanics,2007,74:2518-2534.
[16] Boyce M C,Arruda E M.Constitutive models of rubber elasticity:a review[J].Rubber chemistry and technology,2000,73(3):504-552.