Research on Stiffness Characteristics of Hold-down Spring Based on Johnson-Cook Constitutive Model
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摘要: 燃料组件压紧板弹簧的刚度设计对其安全服役起着至关重要的作用。通过引入INCONEL 718合金的Johnson-Cook非线性本构关系，拟合了不同中子辐照剂量下INCONEL 718合金的Johnson-Cook非线性本构模型；建立了压紧板弹簧系统的有限元模型，开展了不同因素对压紧板弹簧刚度特性的影响研究。结果表明：温度、加载次数、幅值的增大会导致压紧板弹簧在循环加载下出现不同程度的软化，而加载速率的增大会使压紧板弹簧的刚度出现硬化。本文研究可为燃料组件中的压紧板弹簧刚度设计提供参考。
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关键词:
- 压紧板弹簧 /
- 刚度特性 /
- Johnson-Cook非线性本构模型
Abstract: The stiffness design of hold-down spring in fuel assembly plays an important role in its safe service. By introducing the Johnson-Cook nonlinear constitutive relation of INCONEL 718 Alloy, the Johnson-Cook nonlinear constitutive model of INCONEL 718 Alloy under different neutron irradiation doses is fitted; the finite element model of the hold-down spring system is established, and the influence of different factors on the stiffness characteristics of the hold-down spring is studied. The results show that the increase of temperature, loading times and amplitude lead to different degrees of softening of the hold-down spring under cyclic loading, while the increase of the loading rate makes the stiffness of the hold-down spring harden. The study in this paper can provide a reference for the stiffness design of the hold-down spring in the fuel assembly. -
图 2 准静态拉伸试样形状和尺寸 mm
A、B—左右两端螺纹
Figure 2. Shape and Size of Quasi-static Tensile Specimen
图 3 INCONEL 718合金拉伸试样真应力-真应变曲线
Figure 3. True Stress-True Strain Curve of INCONEL 718 Alloy Tensile Specimen
图 4 INCONEL 718合金拉伸试样试验真应力-真应变曲线与仿真结果
Figure 4. True Stress-True Strain Curve and Simulation Results of INCONEL 718 Alloy Tensile Specimen Test
图 6 INCONEL 718合金低周疲劳试样迟滞环应变应力曲线
Figure 6. Hysteresis Loop Strain- Stress Curve of Low Cycle Fatigue Specimen of INCONEL 718 Alloy
图 7 中子注量与原子平均离位关系
y—原子平均离位；x—中子注量；E—中子能量
Figure 7. Relationship between Neutron Fluence and DPA
图 8 INCONEL 718合金螺栓拉伸试验拟合曲线
Figure 8. Fitting Curve of Bolt Tensile Test of INCONEL 718 Alloy
图 9 不同辐照剂量下压紧板弹簧的刚度曲线
Figure 9. Stiffness Curves of Hold-down Spring at Different Neutron Irradiation Doses
图 10 T1、T10、T20在2种温度下的刚度曲线
Figure 10. Stiffness Curves of T1, T10 and T20 at Two Temperatures
图 11 不同加载速率下的板弹簧刚度曲线
Figure 11. Stiffness Curves of Hold-down Spring at Different Loading Rates
图 12 加载次数对板弹簧特性的影响
Figure 12. Influence of Loading Times on Characteristics of Hold-down Spring
图 13 各加载幅值下的板弹簧刚度曲线
Figure 13. Stiffness Curves of Hold-down Spring at Different Loading Amplitudes
表 1 拉伸试样尺寸
Table 1. Tensile Specimen Size Information
试样 d0/mm L0/mm Lc/mm Lt/mm r/mm 螺纹 φ5 5 25 30 98 5 M10×1.5 φ6 6 30 35 98 5 M12×1.5 标准[9] 5 d0 ≥L0+0.5 d0 ≥Lc+4 d0 ≥0.75 d0 L0—原始标距；Le—平行段长度；Lt—总长度；r—圆弧半径；空白表示无此项，下同 
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表 2 弹簧材料INCONEL 718合金拉伸试验结果
Table 2. Tensile Test Results of Spring Material INCONEL 718 Alloy
试样编号 试验温度/℃ σ0.2/MPa σm/MPa A/% Z/% φ5-1-室温 20 1203 1433 25.0 45.3 φ6-1-室温 20 1208 1464 24.9 46.3 φ5-1-高温 300 1128 1367 22.9 46.2 φ6-1-高温 300 1123 1375 23.0 45.6
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表 3 INCONEL 718合金J-C本构模型参数
Table 3. J-C Constitutive Model Parameters of INCONEL 718 Alloy
A B n m C 817 1059.32 0.5164 0.9333 0.1
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表 4 不同中子辐照剂量下拟合的J-C本构模型参数
Table 4. Parameters of Fitted J-C Constitutive Model at Different Neutron Irradiation Doses
中子辐照剂量/dpa A B n m C 0 724 1078 0.56 0.933 0.8 0.2 724 1023 0.56 0.933 0.8 0.7 776 1078 0.56 0.933 0.8 1.1 816 1033 0.56 0.933 0.8
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表 5 INCONEL 718合金热性能参数
Table 5. Thermal Performance Parameters of INCONEL 718 Alloy
T/℃ 热导率/
[W·(m·℃)−1]比热容/
[J·(kg·℃)−1]线膨胀
系数/10−6℃−1熔化温度/
℃20 13.4 11.8 1260~1320 300 17.8 481.4 13.5 1260~1320
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