Phase-field simulation of void evolution in UO<sub>2</sub> under applied stress

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract

Owing to the migration and aggregation of point defects produced by cascade collision, a large number of cavities form easily during irradiation of the uranium dioxide (UO ₂) that is an important nuclear fuel. In addition, cavities are also inevitably introduced into the ceramic fuel during sintering. Moreover, the creep strain and thermal strain, caused by the extreme environment of high temperature and strong irradiation, significantly increase the applied stress of nuclear fuel. Therefore, it is crucial to investigate the microstructure evolution of the cavities in UO ₂fuel under applied stress. In this work, a phase-field model of void evolution in UO ₂under applied stress is established. Firstly, the elastic equilibrium equation is solved by the perturbation-iterative method, and the stress distribution around a single void under applied stress is calculated. The results show that the stress concentration is observed at the edge of the void, and the simulated stress distribution is consistent with the theoretically analytical results. Then, the evolution processes of a single void under different applied stresses are simulated by the phase-field model. The results show that the growth rate of void increases with the augment of applied stress. Finally, the effect of applied stress on grain growth and void evolution in polycrystalline are also studied. The results show that the applied stress will accelerate the void growth. With the increase of the applied stress, the effect of the applied stress on accelerating the void evolution increases.

Keywords:

Authors and contacts

Corresponding author:Liu Wen-Bo,liuwenbo@xjtu.edu.cn

Funds:Project supported by the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics (Grant Nos. U1830124, U2130105) and the Innovative Scientific Program of China National Nuclear Corporation.

FullText HTML: translate this paragraph

References

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]

Cited By

DownLoad: Full-Size Img PowerPoint

参量	符号	取值	参考文献
绝对温度	T	1173 K
玻尔兹曼常数	k_B	1.381 × 10^–23J/K
晶格常数	a	0.552 nm	[31]
迁移率	L	1.56 × 10^–11m³/(J·s)	[32]
梯度自由能参数	κ	3.38 × 10^–8J/m	[32]
空位扩散系数	$ {D_{\text{v}}} $	5.586 × 10^–18m²/s	[33]
空位形成能	$ E_{\text{v}}^{\text{f}} $	5.10 eV	[34]
表面能	${\gamma _{\text{s}}}$	1.76 eV	[35]
晶界能	${\gamma _{{\text{GB}}}}$	1.67 eV	[36]
弹性模量	C₁₁	389.3 GPa	[37]
	C₁₂	118.7 GPa	[37]
	C₄₄	59.7 GPa	[37]

DownLoad: CSV

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]

[1]	Liu Xu-Xi, Gao Shi-Sen, La Yong-Xiao, Yu Dong-Liang, Liu Wen-Bo.Phase-field simulation of high-temperature corrosion of binary Zr-2.5Sn alloy. Acta Physica Sinica, 2024, 73(14): 148201.doi:10.7498/aps.73.20240393
[2]	Geng Xiao-Bin, Li Ding-Gen, Xu Bo.Mechanical stress-thermodynamic phase-field simulation of lithium dendrite growth in solid electrolyte battery. Acta Physica Sinica, 2023, 72(22): 220201.doi:10.7498/aps.72.20230824
[3]	Yang Zhao-Xi, Liu Wen-Bo, Zhang Cong-Yu, He Xin-Fu, Sun Zheng-Yang, Jia Li-Xia, Shi Tian-Tian, Yun Di.Phase field simulation of grain boundary segregation and radiation-enhanced segregation in Fe-Cr alloys. Acta Physica Sinica, 2021, 70(11): 116101.doi:10.7498/aps.70.20201840
[4]	Song Yan, Jiang Hong-Xiang, Zhao Jiu-Zhou, He Jie, Zhang Li-Li, Li Shi-Xin.Numerical simulations of solidification microstructure evolution process for commercial-purity aluminum alloys inoculated by Al-Ti-B refiner. Acta Physica Sinica, 2021, 70(8): 086402.doi:10.7498/aps.70.20201431
[5]	Yang Hui, Feng Ze-Hua, Wang He-Ran, Zhang Yun-Peng, Chen Zheng, Xin Tian-Yuan, Song Xiao-Rong, Wu Lu, Zhang Jing.Phase-field modeling of irradiated void microstructure evolution of Fe-Cr alloy. Acta Physica Sinica, 2021, 70(5): 054601.doi:10.7498/aps.70.20201457
[6]	Liu Di, Wang Jing, Wang Jun-Sheng, Huang Hou-Bing.Phase field simulation of misfit strain manipulating domain structure and ferroelectric properties in PbZr_(1–x)Ti_xO₃thin films. Acta Physica Sinica, 2020, 69(12): 127801.doi:10.7498/aps.69.20200310
[7]	Duan Pei-Pei, Xing Hui, Chen Zhi, Hao Guan-Hua, Wang Bi-Han, Jin Ke-Xin.Phase-field modeling of free dendritic growth of magnesium based alloy. Acta Physica Sinica, 2015, 64(6): 060201.doi:10.7498/aps.64.060201
[8]	Du Li-Fei, Zhang Rong, Xing Hui, Zhang Li-Min, Zhang Yang, Liu Lin.Phase-field simulation of solidified microstructure evolution in the presence of lateral constraint. Acta Physica Sinica, 2013, 62(10): 106401.doi:10.7498/aps.62.106401
[9]	Chen Xi, Lin Zheng-Zhe, Yin Cong, Tang Hao, Hu Yun-Cheng, Ning Xi-Jing.Theoretical prediction of the growth and surface structure of platinum nanoparticles. Acta Physica Sinica, 2012, 61(7): 076801.doi:10.7498/aps.61.076801
[10]	Pan Shi-Yan, Zhu Ming-Fang.Quantitative phase-field model for dendritic growth with two-sided diffusion. Acta Physica Sinica, 2012, 61(22): 228102.doi:10.7498/aps.61.228102
[11]	Zhang Xian-Gang, Zong Ya-Ping, Wang Ming-Tao, Wu Yan.A physical model to express grain boundaries in grain growth simulation by phase-field method. Acta Physica Sinica, 2011, 60(6): 068201.doi:10.7498/aps.60.068201
[12]	Wei Cheng-Yang, Li Sai-Yi.Effect of temperature gradient on grain growth behavior from phase field simulations. Acta Physica Sinica, 2011, 60(10): 100701.doi:10.7498/aps.60.100701
[13]	Chen Yun, Kang Xiu-Hong, Xiao Na-Min, Zheng Cheng-Wu, Li Dian-Zhong.Phase field modelling of grain growth in polycrystalline material. Acta Physica Sinica, 2009, 58(13): 124-S131.doi:10.7498/aps.58.124
[14]	Wang Gang, Xu Dong-Sheng, Yang Rui.Phase field simulation on sideplates formation in Ti-6Al-4V alloy. Acta Physica Sinica, 2009, 58(13): 343-S348.doi:10.7498/aps.58.343
[15]	Feng Li, Wang Zhi-Ping, Lu Yang, Zhu Chang-Sheng.Phase-field model of isothermal solidification of binary alloy with multiple grains. Acta Physica Sinica, 2008, 57(2): 1084-1090.doi:10.7498/aps.57.1084
[16]	Lu Yang, Wang Fan, Zhu Chang-Sheng, Wang Zhi-Ping.Simulation of multiple grains for isothermal solidification of binary alloy using phase-field model. Acta Physica Sinica, 2006, 55(2): 780-785.doi:10.7498/aps.55.780
[17]	Duan He, Zheng Yu-Feng, Zhang Xiao-Gang, Sun Yan-Fei, Dong You-Zhong.Hydrothermal synthesis of iron pyrite (FeS22) crystalpowder and the rmal-kinetic study on crystal growth. Acta Physica Sinica, 2005, 54(4): 1659-1664.doi:10.7498/aps.54.1659
[18]	Huang Rui, Lin Xuan-Ying, Yu Yun-Peng, Lin Kui-Xun, Yao Ruo-He, Huang Wen-Yong, Wei Jun-Hong, Wang Zhao-Kui, Yu Chu-Ying.Control of grain size during low-temperature growth of polycrystalline silicon films. Acta Physica Sinica, 2004, 53(11): 3950-3955.doi:10.7498/aps.53.3950
[19]	Zhang Jian-Min, Xu Ke-Wei.Investigation of abnormal grain growth andtexture change in Ag and Cu films. Acta Physica Sinica, 2003, 52(1): 145-149.doi:10.7498/aps.52.145
[20]	Zhang Jian-Min, Xu Ke-Wei.. Acta Physica Sinica, 2002, 51(11): 2562-2566.doi:10.7498/aps.51.2562

Catalog

Vol. 71, Issue 2 - 2022-01-20

Metrics

Abstract views:3918
PDF Downloads:77
Cited By:0

Search

Article