三元乙丙材料粘超弹本构模型研究

doi:10.3969/j.issn.1000-1093.2014.08.011

兵工学报 ›› 2014, Vol. 35 ›› Issue (8): 1205-1209.doi: 10.3969/j.issn.1000-1093.2014.08.011

三元乙丙材料粘超弹本构模型研究

杨晓红¹，许进升¹，孙俊丽²，胡少青¹，周长省¹

（1.南京理工大学机械工程学院，江苏南京 210094;

收稿日期:2014-01-20 修回日期:2014-01-20 上线日期:2014-11-03
作者简介:杨晓红（1972—），女，工程师，博士研究生

Research on Visco-hyperelastic Constitutive Model of EPDM

YANG Xiao-hong¹, XU Jin-sheng¹, SUN Jun-li², HU Shao-qing¹, ZHOU Chang-sheng¹

(1.School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China；2.Technology Center, Jinxi Industries Group Corporation, Taiyuan 030027, Shanxi, China)

Received:2014-01-20 Revised:2014-01-20 Online:2014-11-03

摘要/Abstract

摘要： 利用等速拉伸和拉伸-回复实验研究三元乙丙（EPDM）包覆层材料的力学特性，提出采用有限变形条件下的超弹本构模型及线粘弹性本构理论相结合的方法建立一种粘超弹本构模型，在此基础上进一步研究模型参数的获取方法。研究结果表明：该材料具有典型的超弹性力学行为特征，并呈现出明显的率相关效应；所建立的粘超弹本构模型能够较好地描述该材料的单轴力学行为，在一定程度上可对使用该包覆层材料的固体火箭发动机的结构完整性分析提供理论参考。

关键词: 固体力学, 粘超弹性, 本构模型, 三元乙丙, 单轴拉伸, 线粘弹性

Abstract: The constant rate uniaxial tension tests and tension-recover tests are conducted to obtain the accurate mechanical property of the EPDM insulation material. A visco-hyperelastic constitutive model is developed based on the mechanical behavior characteristics of EPDM. The method is established by applying the hyperelastic theory which was established under finite deformation condition in combination with linear viscoelastic theory. Then the way to obtain the model parameters is proposed, which is simple and easy to be generalized. The results show that EPDM has the typical hyperelastic mechanical characteristics, and presents a rate-dependent effect. The visco-hyperelastic constitutive model proposed can describe the uniaxial mechanical property of EPDM accurately. The model can provide a theoretical reference for structural integrity analysis of solid rocket motor made of EPDM insulation material.

Key words: solid mechanics, visco-hyperelasticity, constitutive model, ethylene propylene diene monomer, uniaxial tension, linear viscoelasticity

中图分类号:

V435

杨晓红，许进升，孙俊丽，胡少青，周长省. 三元乙丙材料粘超弹本构模型研究[J]. 兵工学报, 2014, 35(8): 1205-1209.

YANG Xiao-hong, XU Jin-sheng, SUN Jun-li, HU Shao-qing, ZHOU Chang-sheng. Research on Visco-hyperelastic Constitutive Model of EPDM[J]. Acta Armamentarii, 2014, 35(8): 1205-1209.

参考文献

［1］许进升，鞠玉涛，周长省，等. 模数对药柱热应力的影响[J]. 弹道学报，2011，23（2）：74-78.
XU Jin-sheng, JU Yu-tao, ZHOU Chang-sheng, et al. The influence of modulus on grain thermal stress[J]. Journal of Ballistics, 2011, 23(2): 74-78. (in Chinese)
[2] 何志刚，董大鹏，王国林，等. 轮胎超弹性本构材料参数确定的

影响因素分析[J]. 机械工程学报，2008，44（12）：296-302.
HE Zhi-gang, DONG Da-peng, WANG Guo-lin, et al. Influence factors for material parameters determination of hyperelastic constitutive model of vehicle tire rubbe[J]. Chinese Journal of Mechanical Engineering, 2008, 44(12): 296-302. (in Chinese)
[3] 程哲，张正艺，宋杨，等. 橡胶材料超弹性本构模型的简化标定方法[J]. 固体力学学报，2010，31（S1）：50-53.
CHENG Zhe, ZHANG Zheng-yi, SONG Yang, et al. A simplified method to calibrate the hyperealstic constitutive models for rubber materials[J]. Acta Mechanica Solida Sinica,2010, 31(S1): 50-53. (in Chinese)
[4] 邓凯，阳建红，陈飞，等. HTPB 复合固体推进剂本构方程[J]. 宇航学报, 2010，31（7）：1815-1818.
DENG Kai, YANG Jian-hong, CHEN Fei, et al. On constitutive equation of HTPB composite solid propellant[J]. Journal of Astronautics, 2010, 31(7): 1815-1818. (in Chinese)
[5] 周相荣，王强，王宝珍. 一种基于Yeoh函数的非线性粘超弹本构模型及其在冲击仿真中的应用[J]. 振动与冲击，2007，26（5）： 33-37.
ZHOU Xiang-rong, WANG Qiang, WANG Bao-zhen.A nonlinear visco-hyperelastic constitutive model based on Yeoh strain energy function with its application to impact simulation[J]. Journal of Vibration and Shock, 2007, 26(5): 33-37. (in Chinese)
[6] Leu L J, Mukherjee S. Sensitivity analysis of hyperelastic-viscoplastic solids undergoing large deforma- tions[J]. Computational Mechanics, 1994, 15(2): 101-116.
[7] Yang L M, Shim V P W, Lim C T, et al. A visco-hyperelastic approach to modelling the constitutive behaviour of rubber[J]. International Journal of Impact Engineering, 2000, 24(6/7): 545-560.
[8] Yang L M, Shim V P W. A visco-hyperelastic constitutive description of elastomeric foam[J]. International Journal of Impact Engineering, 2004, 30: 1099-1110.
[9] Natali A N, Fontanella C G, Carniel E L. Constitutive formulation and analysis of heel pad tissues mechanics[J]. Medical Engineering & Physics, 2010, 32: 516-522.
[10] Zrida M, Laurent H, Rio G, et al. Experimental and numerical study of polypropylene behavior using an hyper-visco-hysteresis constitutive law[J]. Computational Materials Science, 2009, 45: 516-527.
[11] 胡少青，鞠玉涛，常武军，等. NEPE 固体推进剂粘-超弹性本构模型研究[J]. 兵工学报，2013，34（2）：168-173.
HU Shao-qing, JU Yu-tao, CHANG Wu-jun, et al. A visco-hyperelastic constitutive behaviour of NEPE propellant[J]. Acta Armamentarii, 2013, 34(2): 168-173. (in Chinese)
[12] Pouriayevali H, GUO Y B, SHIM V P W. A visco-hyperelastic constitutive description of elastomer behaviour at high strain rates[J]. Procedia Engineering, 2011,10:2274-2279.

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三元乙丙材料粘超弹本构模型研究

Research on Visco-hyperelastic Constitutive Model of EPDM

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