一种考虑变温度场影响的低周疲劳寿命预测方法

叶育明; 文阳阳; 吴福仙; 黄伟光; 高闯

doi:10.13224/j.cnki.jasp.20230123

一种考虑变温度场影响的低周疲劳寿命预测方法

doi: 10.13224/j.cnki.jasp.20230123

叶育明^1,,
文阳阳²,
吴福仙²,
黄伟光^{1, 3},
高闯^3,*, ,

1.
上海科技大学物质科学与技术学院，上海 201210
2.
上海和兰透平动力技术有限公司技术中心，上海 201815
3.
中国科学院上海高等研究院，上海 201210

基金项目: 中国科学院青年培育基金（E224821231）

详细信息

作者简介:
叶育明（1998-），男，硕士生，主要从事涡轮热端部件寿命预测的研究。E-mail：yeym1@shanghaitech.edu.cn

通讯作者:
高闯（1982-），男，研究员，博士，主要从事微小型燃气轮机的研究。E-mail：gaoc@sari.ac.cn

中图分类号: V231.95
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出版历程
- 收稿日期: 2023-03-03
- 网络出版日期: 2024-06-12

Method for predicting low cycle fatigue life at various temperatures

YE Yuming^1
,,
WEN Yangyang²,
WU Fuxian²,
HUANG Weiguang^{1, 3},
GAO Chuang^{3,*
, ,}

1.
School of Physical Science and Technology，Shanghai Tech University，Shanghai 201210，China
2.
Technical Centre，Helan Turbine Company Limited.，Shanghai 201815，China
3.
Shanghai Advanced Research Institute，Chinese Academy of Sciences，Shanghai 201210，China

摘要

摘要:
针对M-C（Manson-Coffin）和SWT（Smith-Watson-Topper）经典模型仅适用于固定温度点而无法预测变温度场下低周疲劳寿命这一不足，综合考虑总应变、塑性应变、最大应力等参量，提出一种考虑变温度场影响的高精度、强泛化性的改进寿命预测模型。从某镍基高温合金室温到923.15 K低周疲劳试验数据点的寿命预测结果可知，该模型有94.74%位于±1.5倍分散带内，预测精度显著优于M-C模型（82.89%）和SWT模型（86.84%）。同时改进模型具有广泛的适用性，既能准确预测非试验数据点的低周疲劳寿命，也适用于其他热端部件材料。此外，该模型可准确预测热端部件在变温度场影响下的全场寿命，对某型燃气轮机向心涡轮预测的全场寿命分布合理，趋势符合预期。
- M-C（Manson-Coffin）模型 /
- SWT（Smith-Watson-Topper）模型 /
- 向心涡轮 /
- 低周疲劳 /
- 寿命预测
Abstract:
Considering the deficiency that the classic models of M-C (Manson-Coffin) and SWT (Smith-Watson-Topper) can only predict the low cycle fatigue life at a fixed temperature, a high-accuracy, strong-generalization modified model for predicting life at various temperatures based on the total strain, plastic strain, maximum stress, and other parameters was proposed. The life prediction results for the nickel-based alloy from room temperature to 923.15 K low cycle fatigue test points showed that 94.74% of the prediction results of the proposed model were distributed in the ±1.5 times scatter band, which were more accurate than the M-C model (82.89%) and the SWT model (86.84%). Simultaneously the modified model was widely generalizable, which was not only capable of accurately predicting the low cycle fatigue life at non-test data points, but also applicable to other hot component materials. Additionally, the proposed model can accurately predict the full-field life of hot components at various temperatures. Full-field life prediction experiments on a gas turbine radial turbine showed that the prediction results were distributed reasonably just like expected trends.
- M-C (Manson-Coffin) model /
- SWT (Smith-Watson-Topper) model /
- radial turbine /
- low-cycle fatigue /
- life prediction

HTML

图 1 某镍基高温合金低周疲劳试验数据

Figure 1. Low cycle fatigue test data of the Ni-based superalloy

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图 2 不同试验温度点的寿命预测分散带

Figure 2. Scatter band of predicted life for different test temperature points

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图 3 改进模型寿命预测分散带

Figure 3. Scatter band of predicted life for the modified model

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图 4 剔除单个试验温度点后的寿命预测分散带

Figure 4. Scatter band of predicted life after removing the single temperature points

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图 5 不同合金寿命预测分散带

Figure 5. Scatter band of predicted life for different alloys

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图 6 CAE仿真流程图

Figure 6. Flow chart of CAE simulation

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图 7 热边界

Figure 7. Thermal boundary

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图 8 温度分布

Figure 8. Temperature distribution contour

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图 9 等效应力分布

Figure 9. Equivalent stress distribution contour

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图 10 总应变分布

Figure 10. Total strain distribution contour

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图 11 塑性应变分布

Figure 11. Plastic strain distribution contour

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图 12 疲劳寿命分布

Figure 12. Fatigue life distribution contour

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表 1 模型中f （T）的不同形式

Table 1. Different forms of f （T） in the model

参量	参数	$ {10}^{{n}_{4}T} $	$ {10}^{\frac{{n}_{4}}{T}} $	$ {T}^{{n}_{4}} $
$ A $	$ A $	6.949	1.097	6.413
$ \mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}^{{n}_{1}} $	$ {n}_{1} $	−0.367	−0.382	−0.378
$ \mathrm{\Delta }{\varepsilon }_{\mathrm{a}}^{{n}_{2}} $	$ {n}_{2} $	−2.685	−3.01	−2.86
$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}^{{n}_{3}} $	$ {n}_{3} $	−0.779	0.853	0.158
$ f （T） $	$ {n}_{4} $	−0.00092	199.058	−1.033

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表 2 不同试验温度点下M-C寿命预测模型的寿命方程

Table 2. Life equation of M-C model at different test temperature points

试验温度/K	M-C寿命回归方程
293.15	$ \mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=1.69{ （2{N}_{\mathrm{f}}） }^{-0.058\;3}+2\;152.98{ （2{N}_{\mathrm{f}}） }^{-0.950} $
573.15	$ \mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=2.14{ （2{N}_{\mathrm{f}}） }^{-0.075\;9}+5\;180.82{ （2{N}_{\mathrm{f}}） }^{-1.116} $
673.15	$ \mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=1.95{ （2{N}_{\mathrm{f}}） }^{-0.063\;3}+35\;405.20{ （2{N}_{\mathrm{f}}） }^{-1.364} $
773.15	$ \mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=1.52{ （2{N}_{\mathrm{f}}） }^{-0.037\;1}+65\;37.84{ （2{N}_{\mathrm{f}}） }^{-1.218} $
873.15	$ \mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=1.32{ （2{N}_{\mathrm{f}}） }^{-0.028\;5}+123.40{ （2{N}_{\mathrm{f}}） }^{-0.785} $
923.15	$ \mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=1.38{ （2{N}_{\mathrm{f}}） }^{-0.041\;4}+11.22{ （2{N}_{\mathrm{f}}） }^{-0.468} $

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表 3 不同试验温度点下SWT寿命预测模型的寿命方程

Table 3. Life equation of SWT model at different test temperature points

试验温度/K	SWT寿命回归方程
293.15	$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=3\;068.55{ （2{N}_{\mathrm{f}}） }^{-0.117}+3\;901\;199.76{ （2{N}_{\mathrm{f}}） }^{-1.008\;7} $
573.15	$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=4\;713.37{ （2{N}_{\mathrm{f}}） }^{-0.152}+11\;387\;442.36{ （2{N}_{\mathrm{f}}） }^{-1.192} $
673.15	$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=3\;888.08{ （2{N}_{\mathrm{f}}） }^{-0.127}+70\;420\;942.80{ （2{N}_{\mathrm{f}}） }^{-1.428} $
773.15	$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=2\;274.54{ （2{N}_{\mathrm{f}}） }^{-0.074\;2}+9\;760\;995.12{ （2{N}_{\mathrm{f}}） }^{-1.256} $
873.15	$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=1\;658.74{ （2{N}_{\mathrm{f}}） }^{-0.057\;0}+154\;496.05{ （2{N}_{\mathrm{f}}） }^{-0.813} $
923.15	$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}=1\;736.32{ （2{N}_{\mathrm{f}}） }^{-0.082\;8}+14\;100.52{ （2{N}_{\mathrm{f}}） }^{-0.509} $

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表 4 不同试验温度点下改进模型的寿命方程

Table 4. Life equation of modified model at different test temperature points

试验温度/K	改进模型寿命回归方程
293.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=28.16-0.144\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-1.52\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-7.92\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}} $
573.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=32.86-0.026\;2\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-1.26\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-9.44\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}} $
673.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=36.51-0.102\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-0.950\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-10.66\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}} $
773.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=29.77-0.104\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-2.80\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-8.45\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}} $
873.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=31.52-0.567\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-0.975\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-9.41\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}} $
923.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=36.44-1.12\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-0.004\;06\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-11.37\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}} $

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表 5 剔除单个试验温度点后改进模型的寿命回归方程

Table 5. Life regression equation of modified life model after removing the single temperature point

剔除温度点/K	改进模型寿命回归方程
673.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=9.17-0.364\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-2.60\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-1.51\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}-0.000\;977T $
923.15	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=9.86-0.790\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-0.193\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-1.94\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}-0.001\;02T $

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表 6 GH3536、GH4169及GH4133B寿命回归方程

Table 6. Life regression equation of GH3536, GH4169 and GH4133B

材料	改进模型寿命回归方程
GH3536	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=16.76-0.099\;1\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-1.47\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-4.47\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}-0.001\;43T $
GH4169	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=9.02-0.151\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-2.84\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-1.18\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}-0.002\;02T $
GH4133B	$ \mathrm{lg}\;2{N}_{\mathrm{f}}=6.21-0.304\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{p}\mathrm{a}}-3.13\mathrm{lg}\;\mathrm{\Delta }{\varepsilon }_{\mathrm{a}}-0.929\mathrm{lg}\;{\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}}-0.000\;599T $

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表 7 力学参数

Table 7. Mechanical parameter

参数	数值
$ {\varepsilon }_{\mathrm{p}\mathrm{a}} $/%	0.159
$ {\varepsilon }_{\mathrm{a}} $/%	1.24
$ {\sigma }_{\mathrm{m}\mathrm{a}\mathrm{x}} $/MPa	1127.20
$ T $/K	839.89

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表 8 预测寿命

Table 8. Predicted life

参数	试验温度/K
参数	773.15	873.15
$ {N}_{\mathrm{l}\mathrm{i}\mathrm{f}\mathrm{e}} $	15668.09	2487.23
1.5$ {N}_{\mathrm{l}\mathrm{i}\mathrm{f}\mathrm{e}} $	23502.13	3730.85
$ {N}_{\mathrm{l}\mathrm{i}\mathrm{f}\mathrm{e}} $/1.5	10445.39	1658.15

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