Mullins诱导各向异性及橡胶弹性元件多向刚度预测

doi:10.3901/JME.2017.14.144

机械工程学报 ›› 2017, Vol. 53 ›› Issue (14): 144-149.doi: 10.3901/JME.2017.14.144

扫码分享

Mullins诱导各向异性及橡胶弹性元件多向刚度预测

丁智平¹, 李飞¹, 卜继玲², 黄友剑², 黄达勇¹

1. 湖南工业大学机械工程学院株洲 412007;
2. 株洲时代新材料科技股份有限公司株洲 412007

收稿日期:2016-08-14 修回日期:2016-12-17 出版日期:2017-07-20 发布日期:2017-07-20
作者简介:丁智平,男,1956年出生,博士,教授,硕士研究生导师。主要研究方向为机械结构强度理论及应用。E-mail:dzp0733@sohu.com
基金资助:
中央财政创新团队专项资金资助项目（0420036017）。

Mullins Induced Anisotropy and Multi-directional Stiffness Prediction of Rubber Elastic Components

DING Zhiping¹, LI Fei¹, BU Jiling², HUANG Youjian², HUANG Dayong¹

1. School of Mechanical Engineering, Hunan University of Technology, Zhuzhou 412007;
2. Zhu Zhou Time New Material Technology Co., Ltd., Zhuzhou 412007

Received:2016-08-14 Revised:2016-12-17 Online:2017-07-20 Published:2017-07-20

摘要/Abstract

摘要： 对橡胶材料试样进行单轴拉伸和拉/剪循环加载试验，研究其在双向载荷历程作用下的Mullins软化诱导各向异性。试验发现试样在先后不同方向载荷作用下会产生Mullins软化诱导各向异性，且随载荷逐渐增大而增大。基于伪弹性本构理论，采用最小二乘法拟合橡胶试样双向载荷历程循环加载试验数据，得出橡胶Mullins软化诱导各向异性参数。使用各向异性参数修正伪弹性本构模型软化效应控制参数，采用分步加载和网格映射方式对承受垂向压缩和横向剪切载荷的锥形橡胶弹簧承载刚度进行仿真预测，并通过锥型橡胶弹簧台架刚度试验验证，结果表明使用Mullins软化诱导各向异性参数能够显著提高橡胶弹性元件多向承载刚度预测精度。

关键词: Mullins诱导各向异性, 弹性元件, 多向刚度, 仿真, 橡胶

Abstract: 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.

Key words: elastic component, Mullins induced anisotropy, multi-directional stiffness, rubber, simulation

中图分类号:

TP273

丁智平, 李飞, 卜继玲, 黄友剑, 黄达勇. Mullins诱导各向异性及橡胶弹性元件多向刚度预测[J]. 机械工程学报, 2017, 53(14): 144-149.

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.

导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks

链接本文: http://www.cjmenet.com.cn/CN/10.3901/JME.2017.14.144

http://www.cjmenet.com.cn/CN/Y2017/V53/I14/144

参考文献

[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.

[1]	陈俊杰, 唐禹洲, 杨树军, 邬明宇. 双层帘线增强空气弹簧橡胶气囊各向异性超-黏弹性本构模型[J]. 机械工程学报, 2026, 62(8): 49-59.
[2]	安海涛, 贾博韬, 王亮, 吴金涛, 潘松, 赵盖. 空间中空型超声电机的动力学仿真分析与极端环境试验研究[J]. 机械工程学报, 2026, 62(7): 269-283.
[3]	李东洁, 梁雨, 姚钢, 高伟达, 荣伟彬, 杨柳, 张宇. 脑胶质瘤放化疗微腔囊结构设计及其剂量分布与动态响应研究[J]. 机械工程学报, 2026, 62(7): 405-417.
[4]	李子轩, 李泓吉, 徐志祥, 牛辉, 季策, 王涛. 碳钢/不锈钢双金属管三辊波纹斜轧复合成形机理研究[J]. 机械工程学报, 2026, 62(6): 174-184.
[5]	李林聪, 王胜全, 曾翔, 蔡勇, 何小伟. 汽车碰撞高低阶联合仿真方法与真实感仿真平台开发[J]. 机械工程学报, 2026, 62(6): 314-324.
[6]	李旭阳, 代亮成, 池茂儒, 赵明花, 周荻. 液体橡胶复合转臂节点动态特性及非线性力学模型研究[J]. 机械工程学报, 2026, 62(6): 337-345,358.
[7]	杨泽浩, 董威, 黄思翰, 阴艳超, 董李扬, 郑祖杰. 基于数字孪生和强化学习的智能生产线实时调度仿真优化方法[J]. 机械工程学报, 2026, 62(5): 12-25.
[8]	李家程, 卢坤, 席翔, 石岩, 孙江坤, 吴学忠, 肖定邦. 基于离子束刻蚀的未镀膜熔融石英微半球谐振结构频率裂解修调技术研究[J]. 机械工程学报, 2026, 62(5): 319-328.
[9]	李晓华, 李旭, 韩月娇, 王鹏飞, 张殿华, 张勇. 基于性能不均遗传的高强钢冷轧多道次耦合建模预测及调控[J]. 机械工程学报, 2026, 62(4): 135-147.
[10]	高建设, 暴雨萌, 宛磊, 刘强, 丁顺良, 饶晓波. 被动双足机器人的吸引盆内部拓扑结构[J]. 机械工程学报, 2026, 62(3): 384-395.
[11]	于萌辰, 宋彰桓, 张铭豪, 霍鲁斌, 曹勇, 曹增强. 钛螺纹空心铆钉电磁拉铆成形工艺研究[J]. 机械工程学报, 2026, 62(2): 218-228.
[12]	郭晓霏, 李伟豪, 杨飞, 岳洪浩, 邓宗全. 运载火箭分离与推冲机构综述[J]. 机械工程学报, 2026, 62(1): 96-124.
[13]	李先航, 庞勇, 张海瑞, 宋学官, 阳加远, 方伟光. 面向变后掠飞行器的蜂窝结构设计与优化[J]. 机械工程学报, 2026, 62(1): 137-147.
[14]	李龙, 周天送, 吕胜男, 于兵. 电驱冗余点式分离机构设计与分析[J]. 机械工程学报, 2026, 62(1): 204-215.
[15]	刘云海, 郑杜塬, 祝效华. 基于CFD-DPM-MD模拟压裂管汇缓冲弯头的冲蚀磨损行为及作用机理[J]. 机械工程学报, 2026, 62(1): 296-309.

Mullins诱导各向异性及橡胶弹性元件多向刚度预测

Mullins Induced Anisotropy and Multi-directional Stiffness Prediction of Rubber Elastic Components

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价