正交各向异性材料的三维动态本构模型及其在脉冲X射线热击波模拟中的应用

张昆; 汤文辉; 冉宪文

doi:10.11858/gywlxb.2017.06.007

正交各向异性材料的三维动态本构模型及其在脉冲X射线热击波模拟中的应用

doi: 10.11858/gywlxb.2017.06.007

国防科学技术大学理学院，湖南长沙 410073

详细信息

作者简介:
张昆(1989-), 男, 博士研究生, 主要从事脉冲束辐照动力学研究.E-mail:nudtzhangkun@163.com

通讯作者:
汤文辉(1964-), 男, 博士, 教授, 主要从事高压物理与工程力学研究.E-mail:wenhuitang@163.com

中图分类号: O347
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出版历程
- 收稿日期: 2017-06-02
- 修回日期: 2017-06-22

A Dynamic Constitutive Model of Anisotropic Material in Three-Dimensional Strain and Its Application in the Simulation of Thermal Shock Wave Induced by X-Ray Radiation

College of Science, National University of Defense Technology, Changsha 410073, China

摘要

摘要: 基于三维应变条件下的应力-应变关系，利用Grüneisen物态方程、PUFF物态方程以及Tsai-Hill屈服准则和Johnson-Cook强度模型，建立了正交各向异性复合材料的三维动态本构模型。在此基础上，对一种碳酚醛材料在高能脉冲X射线辐照下所产生的热击波传播现象进行了三维模拟，得到了热击波模拟结果，并将各向异性本构模型与各向同性本构模型的模拟结果进行对比。分析表明，各向异性本构模型不仅反映了固体材料各向异性的特点，而且还能描述材料转变为气体后的动力学行为。模型的建立为各向异性复合材料在脉冲辐照环境下的应用打下重要的理论基础。
- 各向异性材料 /
- 本构关系 /
- X射线热击波
Abstract: Based on the stress-strain relationship in three-dimensional condition, we established a dynamic constitutive model of an anisotropic composite material using the Grüneisen, PUFF equations of state, Tsai-Hill yield criterion and the Johnson-Cook stress model and then simulated the thermal shock wave propagation induced by a high energy density X-ray impulse in a C/TF material.The results for the anisotropic constitutive model and the isotropic constitutive model were compared, and the analysis show that the anisotropic constitutive model proposed in this study can not only reflect the anisotropy of the material, but also describe the dynamic behavior of the vaporized material.Our model lays an important theoretical foundation for the application of anisotropic composite material in irradiation environment.
- anisotropic material /
- constitutive model /
- X-ray thermal shock wave

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图 1 C/TF材料示意

Figure 1. Schematic of C/TF material

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图 2 X射线辐照下C/TF靶的σ_xx云图

Figure 2. σ_xx contours of the C/TF target by X-ray irradiation

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图 3 靶板中轴线上的σ_xx分布

Figure 3. Distribution of σ_xx along the axis

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图 4 3个固定点处的应力-时间曲线

Figure 4. Stress-time curves of 3 fixed points

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表 1 C/TF材料的物态方程参数

Table 1. Equation-of-state parameters of C/TF material

c₀/(km/s)	ρ₀/(g/cm³)	s	Γ₀	γ	e_s/(kJ/g)
2.35	1.38	1.66	2.32	1.4	5.15

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表 2 C/TF材料的弹性参数

Table 2. Elastic parameters of C/TF material

E₁/(GPa)	E₂/(GPa)	E₃/(GPa)	G₁₂/(GPa)	G₂₃/(GPa)	G₃₁/(GPa)	ν₁₂	ν₂₃	ν₃₁	ν₂₁	ν₃₂	ν₁₃
6.96	5.45	4.87	3.5	2.6	2.8	0.30	0.28	0.28	0.235	0.235	0.40

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表 3 C/TF材料的塑性参数

Table 3. Plastic parameters of C/TF material

Y₁₁₀/(GPa)	Y₂₂₀/(GPa)	Y₃₃₀/(GPa)	Y₁₂₀/(GPa)	Y₂₃₀/(GPa)	Y₃₁₀/(GPa)	a₁₁	a₂₂	a₃₃	a₁₂	a₂₃	a₃₁	n₁₁	n₂₂	n₃₃	n₁₂	n₂₃	n₃₁	β
0.12	0.063	0.17	0.07	0.08	0.10	15.0	11.0	8.5	13.0	10.0	11.8	0.86	0.70	0.87	0.78	0.79	0.86	0.021 8

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