双脉冲发动机EPDM软隔层黏超弹本构模型

范兴贵; 许进升; 陈雄; 杜红英; 李映坤; 张中水

doi:10.7527/S1000-6893.2018.22299

航空学报 >

2018 , Vol. 39 >Issue 11: 222299 - 222307

DOI: https://doi.org/10.7527/S1000-6893.2018.22299

固体力学与飞行器总体设计

双脉冲发动机EPDM软隔层黏超弹本构模型

范兴贵 ,
许进升 ,
陈雄 ,
杜红英 ,
李映坤 ,
张中水

展开

1. 南京理工大学机械工程学院, 南京 210094;
2. 晋西工业集团技术研发中心, 太原 030027;
3. 北方自动控制技术研究所, 太原 030006

收稿日期: 2018-05-09

修回日期: 2018-07-09

网络出版日期: 2018-08-13

基金资助

国家自然科学基金（51606098）

收起

A visco-hyperelastic constitutive model for EPDM soft PSD of dual-pulse motors

FAN Xinggui ,
XU Jinsheng ,
CHEN Xiong ,
DU Hongying ,
LI Yingkun ,
ZHANG Zhongshui

Expand

1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;
2. Technology Research and Development Centre, Jinxi Industries Group, Taiyuan 030027, China;
3. North Automation Control Technology Institute, Taiyuan 030006, China

Received date: 2018-05-09

Revised date: 2018-07-09

Online published: 2018-08-13

Supported by

National Natural Science Foundation of China (51606098)

Fold

摘要

三元乙丙橡胶（EPDM）用于软隔层式双脉冲固体火箭发动机软质脉冲隔离装置（PSD）时，主要在Ⅰ脉冲工作时起到绝热抗烧蚀作用，同时保证Ⅱ脉冲能够可靠工作。根据橡胶类材料连续介质力学理论，建立了描述EPDM软隔层在有限变形下的黏超弹本构模型。模型由超弹部分和非线性黏弹性部分构成：超弹部分在Mooney-Rivlin模型的基础上进行了改进，使之能够描述大应变时的硬化现象；非线性黏弹性部分采用广义黏弹性模型，采用无量纲形式的KWW方程替代了传统的Prony级数，使得用2个参数就能预测较大应变率范围内的力学响应。利用万能材料实验机对EPDM软隔层进行了多步松弛实验和单轴等速率拉伸实验，然后根据实验结果，采用分步拟合的方法求出模型参数，利用所建立的本构模型对其余的实验结果进行预测并与实验结果进行比较，对比结果表明所建立的模型能较好地预测EPDM软隔层伸长比在800%以内的单轴等速拉伸响应。最后利用文献中的实验数据验证了所建立的模型能够较好地预测多种工况下的力学响应。

关键词： 三元乙丙橡胶(EPDM); 软质脉冲隔离装置(PSD); 本构模型; 黏超弹; 非线性

本文引用格式

范兴贵 , 许进升 , 陈雄 , 杜红英 , 李映坤 , 张中水 . 双脉冲发动机EPDM软隔层黏超弹本构模型[J]. 航空学报, 2018 , 39(11) : 222299 -222307 . DOI: 10.7527/S1000-6893.2018.22299

Abstract

Ethylene-Propylene-Diene Monomer (EPDM) was used to insulate the device from heat, and resist ablation when the first pulse grain works and make the second pulse grain work reliably in the elastomeric barrier of the dual-pulse solid rocket motor. Based on the continuum mechanical theory,a hyper-viscoelastic constitutive model was proposed to describe the mechanical behavior of the EPDM soft Pulse Separation Device (PSD) under finite and nonlinear deformation condition.The model was composed of two parts: the hyperelastic part and the nonlinear viscoelastic part. The hyperelastic part was improved on the basis of the Mooney-Rivlin model to describe the hardening phenomenon in large strain; the generalized viscoelastic model was adopted for the nonlinear viscoelastic part. The traditional Prony series was replaced by the dimensionless form of the KWW equation to make it possible to predict the mechanical response in a larger strain rate range with only two parameters. The uniaxial constant rate tensile test and multi-step relaxation test were conducted with the universal material testing machine. To get the model parameters, a step fitting method was adopted. The obtained parameters were uesed to predict the remaining experimental results. The comparison result show that the model can predict well the uniaxial constant rate tensile response of the EPDM soft PSD within 800%. Finally, The experimental data in literature was used to verify that the model proposed in this paper can better predict the mechanical response under various loading conditions.

Key words： Ethylene-Propylene-Diene Monomer (EPDM); soft Pulse Separation Device (PSD); constitutive model; visco-hyperelastic; nonlinear

参考文献

[1] 王春光, 田维平, 陈聪, 等. 脉冲发动机中软质隔层工作过程研究[J]. 导弹与航天运载技术, 2013(1): 11-16. WANG C G, TIAN W P, CHEN C, et al. Investigation on the work process of soft PSD in pulse SRM[J]. Missiles and Space Vehicles, 2013(1): 11-16 (in Chinese).
[2] 付鹏, 宋学宇, 孙利清, 等. 脉冲发动机软隔离装置反向打开过程研究[J]. 固体火箭技术, 2017(2): 146-150. FU P, SONG X Y, SUN L Q, et al. Investigation on the reverse opening process of the soft insulator of double pulse solid rocket motor[J]. Journal of Solid Rocket Technology, 2017(2): 146-150 (in Chinese).
[3] CHENG M, CHEN W. Experimental investigation of the stress-stretch behavior of EPDM rubber with loading rate effects[J]. International Journal of Solids & Structures, 2003, 40(18): 4749-4768.
[4] CHENG M, CHEN W, SONG B. Phenomenological modeling of the stress-stretch behavior of EPDM rubber with loading-rate and damage effects[J]. International Journal of Damage Mechanics, 2004, 13(4): 371-381.
[5] POURIAYEVALI H, GUO Y B, SHIM V P W. A constitutive description of elastomer behaviour at high strain rates—A strain-dependent relaxation time approach[J]. International Journal of Impact Engineering, 2012, 47(Supplement C): 71-78.
[6] 李冬, 陈竚, 任黎, 等. 三元乙丙基固体推进剂包覆层拉伸性能影响因素研究[J]. 化工新型材料, 2011, 39(9): 98-99. LI D, CHEN Z, REN L, et al.Study on the influencing factors in the tensile property test of EPDM inhibitor for solid rocket propellant[J]. New Chemical Materials, 2011, 39(9): 98-99 (in Chinese).
[7] 张中水, 陈雄, 周清春, 等. EPDM绝热层的粘超弹本构模型[J]. 固体火箭技术, 2015, 38(2): 273-277. ZHANG Z S, CHEN X, ZHOU Q C, et al. A visco-hyperelastic constitutive model for EPDM insulation[J]. Journal of Solid Rocket Technology, 2015, 38(2): 273-277 (in Chinese).
[8] 蒋晶, 许进升, 陈雄, 等. EPDM包覆层材料准静态压缩实验及力学模型研究[J]. 推进技术, 2015, 36(8): 1268-1273. JIANG J, XU J S, CHEN X, et al. Quasi-static compression experiment and research on mechanical model of EPDM insulation material[J]. Journal of Propulsion Technology, 2015, 36(8): 1268-1273 (in Chinese).
[9] 杨晓红, 许进升, 孙俊丽, 等. 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 X H, XU J S, SUN J L, et al. Research on visco-hyperelastic constitutive model of EPDM[J]. Acta Armamentarii, 2014, 35(8): 1205-1209 (in Chinese).
[10] 谈炳东, 许进升, 贾云飞, 等. 短纤维增强EPDM包覆薄膜超弹性本构模型[J]. 力学学报, 2017, 49(2): 317-323. TAN B D, XU J S, JIA Y F, et al. Hyperelastic constitutive model for short fiber reinforced EPDM inhibitor film[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 317-323 (in Chinese).
[11] 谈炳东, 许进升, 孙朝翔, 等. 短纤维增强三元乙丙橡胶横观各向同性黏-超弹性本构模型[J]. 力学学报, 2017, 49(3): 677-684. TAN B D, XU J S, SUN C X, et al. A transversely isotropic visco-hyperelastic constitutive model for short fiber reinforced EPDM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3): 677-684 (in Chinese).
[12] TRELOAR L R G. The elasticity of a network of long-chain molecules—Ⅲ[J]. Transactions of the Faraday Society, 1946, 42: 83-94.
[13] YEOH O H. Some forms of the strain energy function for rubber[J]. Rubber Chemistry and Technology, 1993, 66(5): 754-771.
[14] MOONEY M. A theory of large elasticdeformation[J]. Journal of Applied Physics, 1940, 11(9): 582-592.
[15] RIVLIN R S, SAUNDERS D W. Large elastic deformations of isotropic materials VⅡ. Experiments on the deformation of rubber[J]. Philosophical Transactions of the Royal Society of London Serie A, 1951, 243(865): 251-288.
[16] 帅词俊, 段吉安, 王炯, 等. 经验应力松弛模量与Maxwell模量的转换计算方法[J]. 机械科学与技术, 2005, 24(5): 628-630. SHUAI C J, DUAN J A, WANG J, et al. A computational method for experimental stress relaxation modulus transited to Maxwell modulus[J]. Mechanical Science and Technology, 2005, 24(5): 628-630 (in Chinese).
[17] 仲健林, 任杰, 马大为. 基于Exp-ln模型与广义黏弹性理论的橡胶本构模型及其应用研究[J]. 振动与冲击, 2015, 34(19): 150-156. ZHONG J L, REN J, MA D W. Constitutive model and its application for rubber material based on Exp-ln model and generalized viscoelastic theory[J]. Journal of Vibration and Shock, 2015, 34(19): 150-156 (in Chinese).
[18] 余家泉, 陈雄, 周长省, 等. EPDM薄膜橡胶包覆材料的粘-超弹本构模型研究[J]. 推进技术, 2015, 36(3): 465-470. YU J Q, CHEN X, ZHOU C S, et al. Visco-hyperelastic constitutive model for filmy EPDM inhibitor[J]. Journal of Propulsion Technology, 2015, 36(3): 465-470 (in Chinese).
[19] 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 S Q, JU Y T, CHANG W J, et al. Aviscohyperelastic constitutive behavior of NEPE propellant[J]. Acta Armamentarii, 2013, 34(2): 168-173 (in Chinese).
[20] Treloar L R G. Stress-strain data for vulcanized rubber under various types of deformation[J]. Rubber Chemistry and Technology, 1944, 17(4): 813-825.

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract

参考文献