高应变率下航空透明聚氨酯的动态本构模型

张龙辉; 张晓晴; 姚小虎; 臧曙光

doi:10.11883/1001-1455(2015)01-0051-06

高应变率下航空透明聚氨酯的动态本构模型

doi: 10.11883/1001-1455(2015)01-0051-06

1.
华南理工大学土木与交通学院，广东广州 510640
2.
中国建筑材料检验认证中心有限公司，北京 100024

基金项目: 国家自然科学基金项目(11372113, 11472110)；国家国际科技合作项目(2011DFA53080)；爆炸科学与技术国家重点实验室基金项目(KFJJ14-2M)

详细信息

作者简介:
张龙辉(1991—), 男, 硕士研究生

通讯作者:
张晓晴, tcqzhang@scut.edu.cn

中图分类号: O347.3
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- 文章访问数: 4794
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- 被引次数: 0
出版历程
- 收稿日期: 2013-05-23
- 修回日期: 2013-10-17
- 刊出日期: 2015-01-25

Constitutive model of transparent aviation polyurethane at high strain rates

1.
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, Guangdong, China
2.
China Building Material Test and Certification Center, Beijing 100024, China

摘要

摘要: 采用低阻抗分离式霍普金森压杆对航空透明聚氨酯进行了高应变率下的动态力学性能测试，得到的应力应变曲线表现出了显著的非线性黏弹性特征。基于本构理论和实验数据，构建了航空透明聚氨酯的松弛时间应变相关的超黏弹性本构形式。该本构模型由2部分组成：一部分表征准静态下的超弹性行为，另一部分描述非线性应变率的相关特性。利用超黏弹性本构模型对不同应变率下航空透明聚氨酯的动态应力应变曲线进行拟合，拟合曲线与实验曲线一致性良好。
- 固体力学 /
- 本构模型 /
- SHPB /
- 航空PU /
- 高应变率 /
- 超黏弹性
Abstract: The uniaxial compressive properties of aviation polyurethane were investigated experimentally by using a modified aluminum split Hopkinson pressure bar apparatus. The obtained stress-strain curves presented distinct non-linear viscoelastic characteristic.Based on the constitutive theory and the experimental data, a hyper-viscoelastic constitutive model that incorporated a strain-dependent relaxation time was proposed to describe the large compressive deformation response of incompressible aviation polyurethane at high strain rates. The proposed model was made up of two parallel mechanical elements-one component to characterize quasi-static hyperelastic behavior, and the other to define rate-sensitivity and strain history dependence. The predictions of the mechanical behavior using a hyper-viscoelastic constitutive model based on strain energy functions and hereditary approach had a good agreement with experimental results.
- solid mechanics /
- constitutive model /
- SHPB /
- aviation polyurethane /
- high strain rate /
- hyper-viscoelastic

HTML全文

图 1 原始波形

Figure 1. Typical original waves

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图 2 航空聚氨酯SHPB压缩实验应力应变曲线

Figure 2. True stress-strain curves of the aviation polyurethane

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图 3 A和B单元的并联本构模型

Figure 3. Parallel mechanical elements A and B

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图 4 准静态压缩实验曲线与模型拟合曲线的比较

Figure 4. Comparison between quasi-static curves of experimental data and proposed model

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图 5 高应变率压缩实验曲线与模型拟合曲线的比较

Figure 5. Comparison between high strain rates of experimental data and proposed model

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表 1 由实验数据拟合确定的模型参量

Table 1. Parameters in proposed stress-strain equations

C₁₀/MPa	C₀₁/MPa	C₁₁/MPa	A₁/μs	A₂	A₃/MPa	A₄/MPa	A₅/MPa
-1.182	-0.069	-0.173	7	0.4	600	-185	45

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参考文献(13)

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