Influence of constitutive model on calculation results of creep deformation response of notched specimen of GH4169 alloy
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摘要: 针对航空发动机高温构件蠕变变形失效问题，基于大变形有限元分析方法，采用弹塑性耦合蠕变本构模型对650 ℃下GH4169合金光滑和缺口平板试件的弹塑性和蠕变变形响应进行计算，重点分析蠕变本构模型对试件蠕变变形响应和持久寿命的影响。研究结果表明：基于大变形有限元分析的方法能较好地预测三种缺口平板试件的弹塑性变形和极限强度，极限强度预测误差均在 ± 3%以内；三种蠕变本构模型对GH4169缺口平板试件蠕变变形响应和持久寿命的大变形有限元预测效果不一，采用θ参数法模型可较为准确地预测缺口试件的持久寿命，预测误差在 ± 2倍分散带以内，而采用修正蠕变模型和Batsoulas模型可较为准确地预测蠕变前两个阶段的变形。Abstract: In view of the creep deformation failure of areo-engine high temperature components, the elastoplastic and creep deformation response of GH4169 alloy smooth and notched plate specimens at 650 ℃ is calculated using elastoplastic coupled creep constitutive model based on the large deformation finite element analysis, to explore the influence of creep constitutive model selection on creep deformation response and creep rupture life calculation. The results show that the elastoplastic deformation response of notched plate specimens is well predicted by large deformation analysis, the elastoplastic deformation and ultimate strength of the three notched plate specimens are all well predicted, and the prediction error of ultimate strength is within ± 3%. Three creep models have different predictive effects on creep response and creep rupture life of notched plate specimens under large deformation finite element analysis. The θ-projection model is found to predict the rupture life of notched specimens more accurately within the factor of ± 2. While the modified creep model and the Batsoulas model can predict the deformation of the first two creep stages more accurately.
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图 1 GH4169合金平板拉伸试件 （a）光滑平板；（b）R1双边缺口平板；（c）R5双边缺口平板；（d）R20双边缺口平板
Figure 1. Tensile specimens of GH4169 alloy （a）smooth plate；（b）R1 double notched plate；（c）R5 double notched plate；（d）R20 double notched plate
图 2 GH4169合金平板蠕变试件 （a）光滑平板；（b）R1双边缺口平板；（c）R5双边缺口平板；（d）R20双边缺口平板
Figure 2. Creep specimens of GH4169 alloy （a）smooth plate；（b）R1 double notched plate；（c）R5 double notched plate；（d）R20 double notched plate
图 3 GH4169合金拉伸试件 （a）光滑平板；（b）R1双边缺口平板；（c）R5双边缺口平板；（d）R20双边缺口平板
Figure 3. Tensile specimens of GH4169 alloy （a）smooth plate；（b）R1 double notched plate；（c）R5 double notched plate；（d）R20 double notched plate
图 4 GH4169合金光滑试件蠕变数据拟合结果 （a）θ参数法；（b）修正蠕变模型；（c）Batsoulas模型
Figure 4. Creep data fitting results of GH4169 alloy smooth specimen （a）θ-projection model；（b）modified creep model；（c）Batsoulas model
图 5 GH4169合金平板蠕变试件有限元模型 （a）光滑平板；（b）R1缺口平板；c）R5缺口平板；（d）R20缺口平板
Figure 5. Plate tensile specimens of GH4169 alloy （a）smooth plate；（b）R1 double notched plate；（c）R5 double notched plate；（d）R20 double notched plate
图 6 光滑平板大变形蠕变响应计算结果 （a）θ参数法；（b）修正蠕变模型；（c）Batsoulas模型
Figure 6. Calculation results of large deformation creep response of smooth specimen （a）θ-projection model；（b）modified creep model；（c）Batsoulas model
图 7 R1缺口平板大变形蠕变响应预测结果 （a）θ参数法；（b）修正蠕变模型；（c）Batsoulas模型
Figure 7. Prediction results of large deformation creep response of R1 notched specimen （a）θ-projection model；（b）modified creep model；（c）Batsoulas model
图 8 R5缺口平板大变形蠕变响应预测结果 （a）θ参数法；（b）修正蠕变模型；（c）Batsoulas模型
Figure 8. Prediction results of large deformation creep response of R5 notched specimen （a）θ-projection model；（b）modified creep model；（c）Batsoulas model
图 9 R20缺口平板大变形蠕变响应预测结果 （a）θ参数法；（b）修正蠕变模型；（c）Batsoulas模型
Figure 9. Prediction results of large deformation creep response of R20 notched specimen （a）θ-projection model；（b）modified creep model；（c）Batsoulas model
图 10 大变形蠕变/持久寿命预测结果 （a）θ参数法；（b）修正蠕变模型；（c）Batsoulas模型
Figure 10. Prediction results of large deformation creep rupture life （a）θ-projection model；（b）modified creep model；（c）Batsoulas model
表 1 GH4169合金平板试件高温蠕变实验方案
Table 1. High temperature creep test scheme of GH4169 alloy plate specimen
Nominal stress of minimum section/MPa Smooth R1-notch R5-notch R20-notch 802 922 922 895 754 886 885 860 708 815 850 826 694 776 814 754 661 736 775 714 626 — 735 — 
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表 3 修正蠕变模型拟合参数值
Table 3. Fitting parameter values of modified creep model
c1 c2 c3 c4 c5 c6 c7 c8 1.96 6.73 –10.52 16.75 –9.26 1.0 × 10–5 19.32 –9.41
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表 2 θ参数法模型拟合参数值
Table 2. Fitting parameter values of θ-projection model
a1 b1 a2 b2 a3 b3 a4 b4 –0.89 –1.1 × 10–4 –10.20 –9.7 × 10–3 –5.50 5.1 × 10–3 –2.05 2.4 × 10–3
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表 4 Batsoulas模型拟合参数值
Table 4. Fitting parameter values of Batsoulas model
k l m n p q 2.5 × 108 1.3× 10–2 2.3 × 109 9.0 × 10–3 3.7 × 10–3 5.1 × 10–4
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