不同取向双晶粒结构材料的蠕变行为分析

刘怡慧; 王延荣; 魏大盛

doi:10.13224/j.cnki.jasp.20220283

不同取向双晶粒结构材料的蠕变行为分析

doi: 10.13224/j.cnki.jasp.20220283

刘怡慧¹,
王延荣^{1, 2},
魏大盛^{1, 2}

1.
北京航空航天大学能源与动力工程学院，北京 100191
2.
北京航空航天大学江西研究院，南昌 330096

基金项目: 国家科技重大专项(J2019-Ⅳ-0006-0074, J2019-Ⅳ-0012-0080)

详细信息

作者简介:
刘怡慧（1996-），女，博士生，主要研究方向为定向凝固材料蠕变分析、燃气轮机结构强度评估

中图分类号: V232.4
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- 文章访问数: 143
- HTML浏览量: 18
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- 被引次数: 0
出版历程
- 收稿日期: 2022-04-29
- 网络出版日期: 2022-09-08

Analysis on creep behavior of bi-crystal structural material with different orientations

LIU Yihui¹,
WANG Yanrong^{1, 2},
WEI Dasheng^{1, 2}

1.
School of Energy and Power Engineering，Beihang University，Beijing 100191，China
2.
Jiangxi Research Institute，Beihang University，Nanchang 330096，China

摘要

摘要:
基于一种宏观唯象模型编写有限元子程序，模拟了双晶粒结构材料的蠕变变形行为。所选取的蠕变模型具有明确的物理意义，模型中的3项分别描述了蠕变演化过程的3个阶段。通过模拟双晶粒结构蠕变变形行为，分析了铸造结构中的偏离角、二次取向及晶界对定向结晶材料蠕变变形行为的影响；同时，利用坐标系的两次旋转，模拟材料的铸造偏离角和二次取向；通过改变晶界的倾斜角度，模拟材料的小角度倾斜晶界。结果表明：铸造偏离角会明显降低材料的蠕变性能，但二次取向对材料蠕变行为影响较小，晶界的倾斜角度使晶界附近材料的蠕变行为产生明显变化。
- 双晶粒结构 /
- 蠕变行为 /
- 铸造偏离角 /
- 二次取向 /
- 倾斜晶界
Abstract:
A macroscopic phenomenological model and a finite element subroutine were used to simulate the creep behavior of bi-crystal structural material with different orientations. The selected creep model had a clear physical significance, and three terms of the creep model can be used to describe the three stages of creep deformation process respectively. The effects of casting deviation angle, secondary orientation and grain boundary of bi-crystal structural material on the creep deformation characteristics were also analyzed. These results indicated that the casting deviation angle can significantly reduce the creep properties of the material based on two rotations of the material coordinate system. The secondary orientation had insignificant effect on the creep behavior of the material, and the inclined grain boundary can change the creep behavior of the material near the grain boundary. The change of the incline angle of grain boundary of the material caused the change of creep deformation behavior near the grain boundaries.
- bi-crystal structure /
- creep behavior /
- casting deviation angle /
- secondary orientation /
- inclined grain boundary

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图 1 双晶粒模型

Figure 1. Bi-crystal model

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图 2 蠕变模型示意图^[16]

Figure 2. Schematic diagram of creep model

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图 3 蠕变子程序调用计算流程

Figure 3. Calculation flow of creep subroutine

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图 4 蠕变曲线拟合结果

Figure 4. Fitting results of creep curve

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图 5 两次旋转示意图

Figure 5. Schematic diagram of rotation of two times

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图 6 不同密度的有限元网格

Figure 6. Finite element meshes with different densities

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图 7 蠕变应变计算结果对比

Figure 7. Comparison of creep strain calculation results

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图 8 蠕变应变的提取位置

Figure 8. Extraction locations of creep strain

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图 9 铸造偏离角示意图

Figure 9. Schematic diagram of casting deviation angle

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图 10 晶粒2不同$ {\gamma _2} $蠕变应变与总应变对比

Figure 10. Comparison of creep strain and total strain of grain 2 with different $ {\gamma _2} $

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图 11 应变提取路径

Figure 11. Extraction path of strain

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图 12 不同铸造偏离角蠕变应变对比

Figure 12. Comparison of creep strains at different casting deviation angles

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图 13 晶界两侧蠕变应变对比

Figure 13. Comparison of creep strain on both sides of grain boundary

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图 14 不同二次取向角的蠕变应变与总应变对比

Figure 14. Comparison of creep strain and total strain at different secondary orientation angles

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图 15 不同二次取向角的蠕变应变对比

Figure 15. Comparison of creep strain at different secondary orientation angles

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图 16 不同晶界角度蠕变应变与总应变对比

Figure 16. Comparison of creep strain and total strain at different grain boundary angles

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图 17 存在倾斜晶界时不同铸造偏离角蠕变应变对比

Figure 17. Comparison of creep strains at different casting deflection angles in presence of inclined grain boundaries

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图 18 存在倾斜晶界时不同二次取向角蠕变应变对比

Figure 18. Comparison of creep strains at different secondary orientation angles in presence of inclined grain boundaries

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图 19 $ {\gamma _2}{\text{ = }}0^\circ $和$ {\gamma _2}{\text{ = 18}}0^\circ $时总位移

Figure 19. Total displacements of $ {\gamma _2}{\text{ = }}0^\circ $ and $ {\gamma _2}{\text{ = 18}}0^\circ $

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表 1 蠕变应变率的参数拟合结果

Table 1. Fitting parameters of creep strain rate equation

取向	温度/℃	$ C $	$ n $	$ {Q_{ijk}} $/$ {\text{（kJ/mol）}} $
[001]	760	6.64×10⁻³	1.76892	148.04

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表 2 蠕变应变率拟合结果

Table 2. Fitting results of creep strain rate

温度/ ℃	应力/ MPa	蠕变应变率/ 10⁻⁵h⁻¹	拟合蠕变应变率/ 10⁻⁵h⁻¹	误差/ %
760	600	$ 2.27 $	$ 1.79 $	11.9
850	500	$ 3.25 $	$ 5.15 $	−22.5
850	570	$ 8.57 $	$ 6.49 $	13.8
980	200	$ 3.15 $	$ 5.27 $	−25.2
980	240	$ 6.93 $	$ 7.28 $	−2.4
1070	50	$ 0.882 $	$ 1.18 $	−14.3
1070	80	$ 3.87 $	$ 2.70 $	17.8
1070	120	$ 6.68 $	$ 5.53 $	9.4

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表 3 蠕变曲线参数$ \eta $拟合结果

Table 3. Fitting parameters $ \eta $ of creep curve

温度/℃	应力/MPa	$ {\eta _1} $/%	$ {\eta _2} $/%	$ {\eta _3} $/%	$ {\eta _4} $	$ {\eta _5} $
760	600	0.01	1.9572	25.0427	0.01	8.0
850	500	0.10	1.5556	25.4433	0.01	8.0
850	570	1.00	0.7560	25.7928	0.60	8.0
980	200	0.01	4.4643	22.5356	0.01	8.0
980	240	0.01	2.7698	24.2301	0.01	8.0
1070	80	1.50	11.4381	14.1366	3.00	8.0
1070	120	0.60	3.0497	23.5138	1.30	8.0

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表 4 蠕变模型参数$ \eta $拟合结果

Table 4. Fitting parameters $ \eta $ of creep model

拟合参数	$ {a_i} $	$ {b_i} $	$ {c_i} $	$ {d_i} $
$ {\eta _1} $	−121.0399	137.1963	122.1561	−124.7935
$ {\eta _4} $	−141.1600	170.3370	170.3718	−192.4018

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表 5 不同密度网格计算结果对比

Table 5. Comparison of calculation results among grids with different densities

网格名称	网格数量	300 h蠕变应变/%
网格名称	网格数量	A点	B点	C点	D点
①	512	0.5591	0.5505	0.5062	0.5049
②	4096	0.5590	0.5494	0.5054	0.5049
③	32768	0.5589	0.5495	0.5048	0.5048

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