Numerical Simulation of Nanohardness in Hastelloy N Alloy After Xenon Ion Irradiation

doi:10.11900/0412.1961.2019.00324

Acta Metall Sin

2020, Vol. 56

Issue (5): 753-759 DOI: 10.11900/0412.1961.2019.00324

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Numerical Simulation of Nanohardness in Hastelloy N Alloy After Xenon Ion Irradiation

LIU Jizhao¹^,²^,³, HUANG Hefei¹^,²(

), ZHU Zhenbo¹^,², LIU Awen¹^,²^,³, LI Yan¹^,²^,³(

)

1.Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
2.School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, China
3.School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China

Cite this article:

LIU Jizhao, HUANG Hefei, ZHU Zhenbo, LIU Awen, LI Yan. Numerical Simulation of Nanohardness in Hastelloy N Alloy After Xenon Ion Irradiation. Acta Metall Sin, 2020, 56(5): 753-759.

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Abstract

Ion irradiation experiments are of importance for investigating irradiation damage of reactor structural materials. However, estimating the irradiation hardening of ion-irradiated materials is difficult due to the limitation of ion penetration depth. In recent years, nanoindentation test has been widely used to study the irradiation hardening of materials, because the continuous stiffness measurement (CSM) mode can obtain the relationship between nanohardness and indentation depth at a very small penetration depth. In this work, the average nanohardness of Hastelloy N alloy irradiated by xenon ion at room temperature was tested by this mode. The results showed that the nanohardness in the irradiated samples was larger than that in the unirradiated sample and this value of irradiated samples is saturated when the irradiation dose is in the range of 0.5~3.0 dpa. Based on the Nix-Gao model, the indentation size effects (ISE) of unirradiated and irradiated samples were separated from nanohardness measured by nanoindentation. The volume law of mixture model (VLM) was subsequently applied to simulate the measured nanohardness. As the depth of indentation increases, the plasticity affected region (PAR) includes both irradiation damage layer and matrix. Interface parameter was introduced to correct the volume of matrix deformation. The results indicated that the improved VLM model leads to a characteristic relation for the depth dependence of nanohardness that is in excellent agreement with nanoindentation experiments.

Key words: irradiation hardening nanoindentation volume law of mixture (VLM) model numerical simulation

Received: 26 September 2019

ZTFLH:

TL341

Fund: National Natural Science Foundation of China(11605271);National Natural Science Foundation of China(11975304);National Natural Science Foundation of China(91126012)

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	Jizhao LIU
	Hefei HUANG
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https://www.ams.org.cn/EN/10.11900/0412.1961.2019.00324 OR https://www.ams.org.cn/EN/Y2020/V56/I5/753

Fig.1 SRIM calculation of the damage profiles as a function of the depth for irradiated samples (SRIM —stopping and range of ions in matter)

Fig.2 OM image of indentation shape of sample after nanoindentation experiment

Fig.3 Indentation depth dependence of the average nanohardness of the unirradiated and irradiated samples

Fig.4 Curves of H²-h^-1 for average nanohardness of the unirradiated and irradiated samples (H—nanohardness, h—indentation depth)

Sample	H₀ / GPa	h^* / nm
Unirradiated	3.10 $±$ 0.04	228 $±$ 9
Xe 0.5 dpa	4.69 $±$ 0.03	58 $±$ 2
Xe 1.0 dpa	4.87 $±$ 0.08	40 $±$ 5
Xe 3.0 dpa	4.65 $±$ 0.04	57 $±$ 3

Table 1 The values of the hardness in the limit of in?nite depth (H₀) and the characteristic length (h^*) for unirradiated and irradiated samples

Fig.5 The indentation size effects for the unirradiated and irradiated samples (H_ISE—the indentation size effect)

Fig.6 Schematic drawing of the nanohardness measurement (I—the thickness of irradiation damage layer, R—the radius of plasticity affected region, T—the difference between R and I)

Fig.7 Calculated volume fraction of matrix in the plasticity affected region

Fig.8 Comparison of nanohardness calculated by different models with the measured nanohardness of the samples before (a) and after Xe²⁶⁺ ion irradiation with 0.5 dpa (b), 1.0 dpa (c) and 3.0 dpa (d) (H_Measured—the measured nanohardness, H_VLM—the nanohardness calculated by VLM model, H₀—the nanohardness in the limit of in?nite depth, H_NG—the nanohardness calculated by Nix-Gao model)

Fig.9 Comparisons of nanohardness calculated by the modified VLM model with the measured nanohardness of the samples after Xe²⁶⁺ ion irradiation with 0.5 dpa (a), 1.0 dpa (b) and 3.0 dpa (c)

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