双脉冲发动机EPDM软隔层黏超弹本构模型

doi:10.7527/S1000-6893.2018.22299

固体力学与飞行器总体设计

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双脉冲发动机EPDM软隔层黏超弹本构模型

范兴贵¹, 许进升¹, 陈雄¹, 杜红英², 李映坤¹, 张中水³

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 出版日期:2018-11-15 发布日期:2018-08-13
通讯作者: 许进升 E-mail:xujinsheng@njust.edu.cn
基金资助:
国家自然科学基金（51606098）

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

FAN Xinggui¹, XU Jinsheng¹, CHEN Xiong¹, DU Hongying², LI Yingkun¹, ZHANG Zhongshui³

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:2018-05-09 Revised:2018-07-09 Online:2018-11-15 Published:2018-08-13
Supported by:
National Natural Science Foundation of China (51606098)

摘要/Abstract

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

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

中图分类号:

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.

FAN Xinggui, XU Jinsheng, CHEN Xiong, DU Hongying, LI Yingkun, ZHANG Zhongshui. A visco-hyperelastic constitutive model for EPDM soft PSD of dual-pulse motors[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(11): 222299-222307.

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E-mail：hkxb@buaa.edu.cn

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双脉冲发动机EPDM软隔层黏超弹本构模型

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

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