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辐照后U-10Mo燃料裂变气泡的等效固体力学本构模型
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1.中广核研究院有限公司,广东 深圳 518026;2.复旦大学 航空航天系 力学与工程仿真研究所,上海 200433

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National Natural Science Foundation of China (Nos. 12132005, 12135008)


Mechanical Constitutive Model for Equivalent Solid of Fission Gas Bubbles in Irradiated U-10Mo Fuels
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Affiliation:

1.China Nuclear Power Technology Research Institute Co., Ltd, Shenzhen 518026, China;2.Institute of Mechanics and Computational Engineering, Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China

Fund Project:

National Natural Science Foundation of China (12135008, 12132005)

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    摘要:

    辐照后的核燃料裂变气泡存在内压,导致周围的燃料骨架内部产生应力。为了计算含压裂变气泡所引起的辐照后核燃料的微观力学场,本研究基于修正的范德华方程,考虑气泡的表面张力效应,建立并验证了裂变气泡的等效固体力学本构模型。将裂变气泡等效为固体,建立了含随机分布裂变气泡的辐照U-10Mo燃料的有限元模型,基于所发展的等效固体力学本构模型、算法及程序,对辐照后燃料的单轴拉伸试验过程进行了有限元模拟,获得了微观力学场的分布及演化结果。根据均匀化理论,获得了辐照U-10Mo燃料的宏观弹性常数,并研究了气泡压力、气泡尺寸和孔隙率对宏观弹性常数的影响。结果表明,相邻的裂变气泡之间存在力学相互作用,导致周围骨架产生局部应力集中。辐照后U-10Mo燃料的宏观弹性常数随宏观孔隙率的增加而减小,两者之间的定量关系可以采用Mori-Tanaka模型描述。气泡压力和尺寸对宏观弹性常数的影响可以忽略。

    Abstract:

    The internal pressure within fission gas bubbles (FGBs) in irradiated nuclear fuels drives mechanical interactions with the surrounding fuel skeleton. To investigate the micromechanical stress fields in irradiated nuclear fuels containing pressurized FGBs, a mechanical constitutive model for the equivalent solid of FGBs was developed and validated. This model was based on the modified Van der Waals equation, incorporating the effects of surface tension. Using this model, the micromechanical fields in irradiated U-10Mo fuels with randomly distributed FGBs were calculated during uniaxial tensile testing via the finite element (FE) method. The macroscopic elastic constants of the irradiated U-10Mo fuels were then derived using homogenization theory, and the influences of bubble pressure, bubble size, and porosity on these constants were examined. Results show that adjacent FGBs exhibit mechanical interactions, which leads to distinct stress concentrations in the surrounding fuel skeleton. The macroscopic elastic constants of irradiated U-10Mo fuels decrease with increasing the macroscopic porosity, which can be quantitatively described by the Mori-Tanaka model. In contrast, bubble pressure and size have negligible effects on these constants.

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李勇,严峰,张静,臧丽叶,丁淑蓉.辐照后U-10Mo燃料裂变气泡的等效固体力学本构模型[J].稀有金属材料与工程,2025,54(7):1653~1660.[Li Yong, Yan Feng, Zhang Jing, Zang Liye, Ding Shurong. Mechanical Constitutive Model for Equivalent Solid of Fission Gas Bubbles in Irradiated U-10Mo Fuels[J]. Rare Metal Materials and Engineering,2025,54(7):1653~1660.]
DOI:10.12442/j. issn.1002-185X.20240640

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历史
  • 收稿日期:2024-09-30
  • 最后修改日期:2025-03-17
  • 录用日期:2025-03-19
  • 在线发布日期: 2025-07-01
  • 出版日期: 2025-06-23