By carrying out experiments of rubber specimens under uniaxial tension and tension/pure shear cyclic load, the Mullins softening induced anisotropy of rubber material is studied under biaxial load history effect. The results show that the rubber specimen will produce Mullins softening induced anisotropy in different directions under loading, and increases as the load increases. Based on the pseudo elastic constitutive theory, using least square fitting the rubber specimen's data of experiments under bidirectional cyclic load history, the Mullins softening induced anisotropic parameters are obtained. Then these anisotropic parameters are used to fix softening effect control parameters of pseudo elastic constitutive model and to simulate the stiffness of conical rubber spring with step by step load and grid map way under vertical compressive and transverse shear load by finite element analysis. By means of conical rubber spring suspension stiffness tests, the results show that Mullins softening induced anisotropy parameters can significantly improve the prediction accuracy of multi-directional stiffness of rubber elastic component.
DING Zhiping
,
LI Fei
,
BU Jiling
,
HUANG Youjian
,
HUANG Dayong
. Mullins Induced Anisotropy and Multi-directional Stiffness Prediction of Rubber Elastic Components[J]. Journal of Mechanical Engineering, 2017
, 53(14)
: 144
-149
.
DOI: 10.3901/JME.2017.14.144
[1] 丁智平,陈吉平,宋传江,等. 橡胶弹性减振元件疲劳裂纹扩展寿命分析[J]. 机械工程学报,2010,46(22):58-64. DING Zhiping,CHEN Jiping,SONG Chuanjiang,et al. Analysis of fatigue crack growth life for rubber vibration damper[J]. Journal of Mechanical Engineering,2010,46(22):58-64.
[2] 张友南,黄友剑. 多轴承载下基于Mullins效应的非线性刚度的分析方法[J]. 计算机辅助工程,2013,22(S2):360-363. ZHANG Younan,HUANG Youjian. Analysis method for non-linear stiffness under multi-axis loading condition based on Mullins effect[J]. Computer Aided Engineering,2013,22(S2):360-363.
[3] MULLINS L J. Effect of stretching on the properties of rubber[J]. Rubber Chemistry & Technology,1947,20(2):281-300.
[4] MULLINS L J. Permanent set in vulcanized rubber[J]. Rubber Chemistry & Technology,1949,22(4):1036-1044.
[5] LARABA-ABBES F,LENNY P,PIQUES R. A new ‘Taylor-made’ methodology for the mechanical behaviour analysis of rubber-like materials:Ⅱ. Application to the hyperelastic behaviour characterization of a carbon-black filled natural rubber vulcanizate[J]. Polymer,2003,44(3):821-840.
[6] HANSON D E,HAWLEY M,HOULTON R,et al. Stress softening experiments in silica-filled polydimethylsiloxane provide Insight into a mechanism for the Mullins effect[J]. Polymer,2005,46(24):10989-10995.
[7] DIANI J,BRIEU M,GILORMINI P. Observation and modeling of anisotropic visco-hyperelastic behavior of a rubberlike material[J]. International Journal of Solids & Structures,2006,43(10):3044-3056.
[8] REBOUAH M,MACHAD G,CHAGNON G,et al. Anisotropic Mullins stress softening of a deformed silicone holey plate[J]. Mechanics Research Communications,2013,49(3):36-43.
[9] DIANI J,BRIEU M,VACHERAND JM. A damage directional constitutive model for Mullins effect with permanent set and induced anisotropy[J]. European Journal of Mechanics,2006,25(3):483-496.
[10] DARGAZANY R,ITSKOV M. A network evolution model for the anisotropic Mullins effect in carbon black filled rubbers[J]. International Journal of Solids and Structures,2009,46(16):2967-2977.
[11] 王岩,隋思涟,王爱青. 数理统计与MATLAB工程数据分析[M]. 北京:清华大学出版社,2006. WANG Yan,SUI Silian,WANG Aiqing. Mathematical statistics and MATLAB engineering data analysis[M]. Beijing:Tsinghua University Press,2006.
[12] OGDEN R W,ROXBURGH D G. A pseudo-elastic model for the Mullins effect in filled rubber[J]. Proceedings of the Royal Society A,1999,455(1988):2861-2877.