晶体塑性有限元方法研究辐照对多晶铜力学性能的影响

doi:10.19596/j.cnki.1001-246x.8342

摘要/Abstract

摘要：

将辐照硬化理论与晶体塑性理论结合, 运用ABAQUS有限元分析软件模拟辐照后多晶铜的拉伸过程。分析辐照效应对材料屈服强度、硬化过程、晶体变形等力学性能的影响, 研究位错密度的演化及空间分布规律。数值模拟表明: 辐照效应提高多晶铜的屈服应力, 影响不同阶段的硬化和软化现象; 辐照剂量增大导致位错密度增殖总体变缓, 空间不均匀度增大; 晶体的塑性变形及晶体转动也受到辐照的影响, 在相同的应变条件下, 辐照剂量越大, 晶体塑性变形程度越小, 塑性变形分布不均匀度变大, 同时晶体转动程度及转动角离散度增大。

关键词: 晶体塑性有限元, 辐照效应, 位错, 变形

Abstract:

Based on irradiation hardening theory and crystal plasticity theory, tensile process of irradiated polycrystalline copper was simulated with ABAQUS finite element analysis software. Effects of irradiation on mechanical properties of materials such as yield strength, hardening process, crystal deformation are analyzed. Temporal evolution and spatial distribution of dislocation density are studied. It shows that: The yield stress of polycrystalline copper is increased with irradiation and hardening and softening phenomena in different stages are affected. The increase of irradiation dose slows the proliferation of dislocation density, and increases its spatial inhomogeneity. Plastic deformation and crystal rotation are also affected by irradiation. Under same strain condition, the greater the irradiation dose is, the greater the deformation degree is and the greater the inhomogeneity of plastic deformation distribution is. Meanwhile, with the increase of irradiation dose, the degree of crystal rotation and angular dispersion increases.

Key words: crystal plasticity finite element, irradiation effect, dislocation, deformation

李宏明, 李茂生. 晶体塑性有限元方法研究辐照对多晶铜力学性能的影响[J]. 计算物理, 2022, 39(1): 6-16.

Hongming LI, Maosheng LI. Effect of Irradiation on Mechanical Properties of Polycrystalline Copper: Crystal Plasticity Finite Element Method[J]. Chinese Journal of Computational Physics, 2022, 39(1): 6-16.

图/表 10

图1 (a) 多晶模型示意图；(b) 拉伸方向及边界条件

Fig.1 (a) Polycrystalline model; (b) Loading direction and boundary conditions

表1 物性参数

Table 1 Physical parameters

参量	符号	含义	值	单位
	k₁	位错增殖系数	2×10⁹	m^－1
	χ	相互作用参数	0.9
Kocks-Mecking参数	g	归一化激活能	0.15
Kocks-Mecking参数	k_B	玻尔兹曼常数	1.38×10^-23	J·K^-1
	D	拖曳力	2.5×10⁸	Pa
	$ \dot{\varepsilon}_0$	参考应变率	1×10⁷	s^－1
	η	辐照缺陷湮灭效率	20
	h_n	位错相互作用自硬化系数	0.5
	h_d	位错与缺陷相互作用系数	0.25
可调系数	τ₀	晶格固有阻力	0	Pa
	m	敏感因子	0.1
	$ \dot{\gamma}_0$	参考剪切应变率	0.001	s^－1
	p_ann	缺陷湮灭概率	4.2811×10^-4

图2 不同辐照剂量下的应力应变曲线

Fig.2 Stress-strain curves under different irradiation doses

图3 无辐照时位错密度云图(a) (1 1 1)[0-1 1]滑移系位错；(b) (-1 1 1)[1 1 0]滑移系位错

Fig.3 Contour plots of dislocation density without irradiation (a) (1 1 1)[0-1 1]slip system dislocation; (b) (-1 1 1)[1 1 0]slip system dislocation

图4 各滑移系平均位错密度云图(a) 无辐照；(b) 0.1dpa

Fig.4 Contour plots of average dislocation density of each slip system (a) no irradiation; (b) 0.1dpa

图5 不同辐照条件下平均位错密度演化

Fig.5 Evolution of average dislocation density under different irradiation conditions

图6 累积剪切应变分布云图及频率统计直方图(a) 无辐照；(b) 无辐照；(c) 0.1 dpa；(d) 0.1 dpa

Fig.6 Contour plots and frequency statistics of cumulative shear strain distribution (a) no irradiation; (b) no irradiation; (c) 0.1 dpa; (d) 0.1 dpa

图7 不同辐照剂量下，累积剪切应变的高斯分布

Fig.7 Gaussian distribution of cumulative shear strain under different irradiation doses

图8 不同辐照剂量下，晶体取向差云图(a) 无辐照；(b) 0.005 dpa；(c) 0.01 dpa；(d) 0.1 dpa

Fig.8 Contour plots of misorientation under different irradiation doses (a) no irradiation; (b) 0.005 dpa; (c) 0.01 dpa; (d) 0.1 dpa

图9 不同辐照剂量下晶体取向差高斯分布拟合曲线

Fig.9 Gaussian distribution fitting curves of misorientation under different irradiation doses

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