Study on Notch Effect of GH4169 Alloy by Crystal Plasticity Theory
摘 要
基于晶体塑性本构模型,通过生成宏观试样的代表性体积单元,对单轴拉伸和疲劳试验数据进行拟合以获得满足模拟条件的相关参数,并分析了网格尺寸对模拟结果的影响;采用累积塑性滑移和能量耗散作为指示因子进行疲劳裂纹萌生寿命预测,研究缺口尺寸对疲劳裂纹萌生寿命的影响。结果表明:采用所建立的模型获得的含缺口试样的疲劳裂纹萌生寿命在试验获得的疲劳裂纹萌生寿命2倍误差带内,模型具有较好的预测精度;当缺口尺寸较小时,随着缺口尺寸的增加,试样疲劳裂纹萌生寿命显著降低,当缺口尺寸大于临界缺口尺寸时,试样疲劳裂纹萌生寿命几乎不受缺口尺寸影响。
Abstract
With the crystal plastic constitutive model, the uniaxial tensile and fatigue test data were fitted to obtain the relevant parameters that meet the simulation conditions, which was realized by generating the representative volume elements of macroscopic specimens. The effect of mesh size on the simulation was analysed. The cumulative plastic slip and energy dissipation were used as indicators to predict the fatigue crack initiation life, and the influence of notch size on the fatigue crack initiation life was studied.The results show that the fatigue crack initiation life of the notched specimen obtained by the established model was within two times the error band of the fatigue crack initiation life obtained in the test, indicating the model had good prediction accuracy. When the notch size was small, the fatigue crack initiation life of the specimen significantly reduced with increasing notch size; when the notch size was larger than the critical notch size, the fatigue crack initiation life of the specimen was hardly affected by the notch size.
中图分类号 TB302 DOI 10.11973/jxgccl202105015
所属栏目 物理模拟与数值模拟
基金项目 国家重点研发项目(2018YFC1902404);国家自然科学基金资助项目(51725503);上海市教育委员会科研创新计划项目(2019-01-07-00-02-E00068)
收稿日期 2020/3/18
修改稿日期 2021/1/8
网络出版日期
作者单位点击查看
备注靖雅(1996-),女,河南驻马店人,硕士研究生
引用该论文: JING Ya,ZHONG Fei,YUAN Guangjian,CAO Xian,WANG Runzi,ZHOU Guoyan,ZHANG Xiancheng. Study on Notch Effect of GH4169 Alloy by Crystal Plasticity Theory[J]. Materials for mechancial engineering, 2021, 45(5): 84~90
靖雅,钟飞,苑光健,曹贤,王润梓,周帼彦,张显程. 基于晶体塑性理论的GH4169合金缺口效应研究[J]. 机械工程材料, 2021, 45(5): 84~90
共有人对该论文发表了看法,其中:
人认为该论文很差
人认为该论文较差
人认为该论文一般
人认为该论文较好
人认为该论文很好
参考文献
【1】刘晓, 闫欢松, 孔祖开, 等. GH4169高温合金的动态力学行为及其本构关系[J]. 机械工程材料, 2019, 43(1):75-81. LIU X, YAN H S, KONG Z K, et al. Dynamic mechanical behavior and constitutive relationship of superalloy GH4169[J]. Materials for Mechanical Engineering,2019,43(1):75-81.
【2】秦承华, 叶申, 张显程, 等. 晶粒尺寸对GH4169镍基合金疲劳小裂纹扩展的影响[J]. 机械工程材料,2016,40(2):11-15. QIN C H, YE S, ZHANG X C, et al. Effects of grain sizes on small fatigue crack growth of GH4169 Ni-base alloy[J]. Materials for Mechanical Engineering, 2016, 40(2):11-15.
【3】TELESMAN J, GABB T P, GHOSN L J, et al. Effect of notches on creep-fatigue behavior of a P/M nickel-based superalloy[J]. International Journal of Fatigue, 2016, 87:311-325.
【4】AN T, ZHENG S Q, PENG H T, et al. Synergistic action of hydrogen and stress concentration on the fatigue properties of X80 pipeline steel[J]. Materials Science and Engineering:A, 2017, 700:321-330.
【5】HUANG J, YANG X G, SHI D Q, et al. Systematic methodology for high temperature LCF life prediction of smooth and notched Ni-based superalloy with and without dwells[J]. Computational Materials Science,2014,89:65-74.
【6】CAMPBELL J P, RITCHIE R O. Mixed-mode, high-cycle fatigue-crack growth thresholds in Ti-6Al-4V:Ⅱ. Quantification of crack-tip shielding[J]. Engineering Fracture Mechanics, 2000, 67(3):229-249.
【7】MCDOWELL D L, DUNNE F P E. Microstructure-sensitive computational modeling of fatigue crack formation[J]. International Journal of Fatigue, 2010, 32(9):1521-1542.
【8】ROTERS F, EISENLOHR P, HANTCHERLI L, et al. Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling:Theory, experiments, applications[J]. Acta Materialia, 2010, 58(4):1152-1211.
【9】MANONUKUL A, DUNNE F P E. High- and low-cycle fatigue crack initiation using polycrystal plasticity[J]. Proceedings of the Royal Society of London Series A:Mathematical, Physical and Engineering Sciences, 2004, 460(2047):1881-1903.
【10】DUNNE F P E, WILKINSON A J, ALLEN R. Experimental and computational studies of low cycle fatigue crack nucleation in a polycrystal[J]. International Journal of Plasticity, 2007, 23(2):273-295.
【11】QIN C H, ZHANG X C, YE S, et al. Grain size effect on multi-scale fatigue crack growth mechanism of nickel-based alloy GH4169[J]. Engineering Fracture Mechanics, 2015, 142:140-153.
【12】JORDON J B, BERNARD J D, NEWMAN J C Jr. Quantifying microstructurally small fatigue crack growth in an aluminum alloy using a silicon-rubber replica method[J]. International Journal of Fatigue, 2012, 36(1):206-210.
【13】皮华春, 韩静涛, 章传国, 等. 纯铝单向压缩过程的晶体塑性有限元模拟[J]. 机械工程材料, 2006, 30(11):66-68. PI H C, HAN J T, ZHANG C G, et al. Crystal plasticity finite element modeling uniaxial compression of pure Al[J]. Materials for Mechanical Engineering, 2006, 30(11):66-68.
【14】张宏建, 温卫东, 崔海涛. TiAl金属间化合物材料本构模型的研究进展[J]. 机械工程材料, 2013, 37(7):1-5. ZHANG H J, WEN W D, CUI H T. Progress in research of constitutive models of TiAl intermetallic materials[J]. Materials for Mechanical Engineering, 2013, 37(7):1-5.
【15】ARMSTRONG P J, FREDERICK C O. A mathematical representation of the multiaxial Bauschinger effect[M]. Berkeley:Central Electricity Generating Board, 1966.
【16】YUAN G J, ZHANG X C, CHEN B, et al. Low-cycle fatigue life prediction of a polycrystalline nickel-base superalloy using crystal plasticity modelling approach[J]. Journal of Materials Science & Technology,2020,38:28-38.
【17】OKABE A, BOOTS B, SUGIHARA K, et al. Spatial tessellations:Concepts and applications of Voronoi diagrams[M].[S.l.]:John Wiley & Sons, 2009.
【18】LIN B, ZHAO L G, TONG J, et al. Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature[J]. Materials Science and Engineering:A, 2010, 527(15):3581-3587.
【19】VAN DER SLUIS O, SCHREURS P J G, BREKELMANS W A M, et al. Overall behaviour of heterogeneous elastoviscoplastic materials:Effect of microstructural modelling[J]. Mechanics of Materials,2000,32(8):449-462.
【20】SMIT R J M, BREKELMANS W A M, MEIJER H E H. Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling[J]. Computer Methods in Applied Mechanics and Engineering, 1998, 155(1/2):181-192.
【21】SAUZAY M. Cubic elasticity and stress distribution at the free surface of polycrystals[J]. Acta Materialia, 2007, 55(4):1193-1202.
【22】DENG G J, TU S T, ZHANG X C, et al. Grain size effect on the small fatigue crack initiation and growth mechanisms of nickel-based superalloy GH4169[J]. Engineering Fracture Mechanics, 2015, 134:433-450.
【23】WANG R Q, LI D, HU D Y, et al. A combined critical distance and highly-stressed-volume model to evaluate the statistical size effect of the stress concentrator on low cycle fatigue of TA19 plate[J]. International Journal of Fatigue, 2017, 95:8-17.
【2】秦承华, 叶申, 张显程, 等. 晶粒尺寸对GH4169镍基合金疲劳小裂纹扩展的影响[J]. 机械工程材料,2016,40(2):11-15. QIN C H, YE S, ZHANG X C, et al. Effects of grain sizes on small fatigue crack growth of GH4169 Ni-base alloy[J]. Materials for Mechanical Engineering, 2016, 40(2):11-15.
【3】TELESMAN J, GABB T P, GHOSN L J, et al. Effect of notches on creep-fatigue behavior of a P/M nickel-based superalloy[J]. International Journal of Fatigue, 2016, 87:311-325.
【4】AN T, ZHENG S Q, PENG H T, et al. Synergistic action of hydrogen and stress concentration on the fatigue properties of X80 pipeline steel[J]. Materials Science and Engineering:A, 2017, 700:321-330.
【5】HUANG J, YANG X G, SHI D Q, et al. Systematic methodology for high temperature LCF life prediction of smooth and notched Ni-based superalloy with and without dwells[J]. Computational Materials Science,2014,89:65-74.
【6】CAMPBELL J P, RITCHIE R O. Mixed-mode, high-cycle fatigue-crack growth thresholds in Ti-6Al-4V:Ⅱ. Quantification of crack-tip shielding[J]. Engineering Fracture Mechanics, 2000, 67(3):229-249.
【7】MCDOWELL D L, DUNNE F P E. Microstructure-sensitive computational modeling of fatigue crack formation[J]. International Journal of Fatigue, 2010, 32(9):1521-1542.
【8】ROTERS F, EISENLOHR P, HANTCHERLI L, et al. Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling:Theory, experiments, applications[J]. Acta Materialia, 2010, 58(4):1152-1211.
【9】MANONUKUL A, DUNNE F P E. High- and low-cycle fatigue crack initiation using polycrystal plasticity[J]. Proceedings of the Royal Society of London Series A:Mathematical, Physical and Engineering Sciences, 2004, 460(2047):1881-1903.
【10】DUNNE F P E, WILKINSON A J, ALLEN R. Experimental and computational studies of low cycle fatigue crack nucleation in a polycrystal[J]. International Journal of Plasticity, 2007, 23(2):273-295.
【11】QIN C H, ZHANG X C, YE S, et al. Grain size effect on multi-scale fatigue crack growth mechanism of nickel-based alloy GH4169[J]. Engineering Fracture Mechanics, 2015, 142:140-153.
【12】JORDON J B, BERNARD J D, NEWMAN J C Jr. Quantifying microstructurally small fatigue crack growth in an aluminum alloy using a silicon-rubber replica method[J]. International Journal of Fatigue, 2012, 36(1):206-210.
【13】皮华春, 韩静涛, 章传国, 等. 纯铝单向压缩过程的晶体塑性有限元模拟[J]. 机械工程材料, 2006, 30(11):66-68. PI H C, HAN J T, ZHANG C G, et al. Crystal plasticity finite element modeling uniaxial compression of pure Al[J]. Materials for Mechanical Engineering, 2006, 30(11):66-68.
【14】张宏建, 温卫东, 崔海涛. TiAl金属间化合物材料本构模型的研究进展[J]. 机械工程材料, 2013, 37(7):1-5. ZHANG H J, WEN W D, CUI H T. Progress in research of constitutive models of TiAl intermetallic materials[J]. Materials for Mechanical Engineering, 2013, 37(7):1-5.
【15】ARMSTRONG P J, FREDERICK C O. A mathematical representation of the multiaxial Bauschinger effect[M]. Berkeley:Central Electricity Generating Board, 1966.
【16】YUAN G J, ZHANG X C, CHEN B, et al. Low-cycle fatigue life prediction of a polycrystalline nickel-base superalloy using crystal plasticity modelling approach[J]. Journal of Materials Science & Technology,2020,38:28-38.
【17】OKABE A, BOOTS B, SUGIHARA K, et al. Spatial tessellations:Concepts and applications of Voronoi diagrams[M].[S.l.]:John Wiley & Sons, 2009.
【18】LIN B, ZHAO L G, TONG J, et al. Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature[J]. Materials Science and Engineering:A, 2010, 527(15):3581-3587.
【19】VAN DER SLUIS O, SCHREURS P J G, BREKELMANS W A M, et al. Overall behaviour of heterogeneous elastoviscoplastic materials:Effect of microstructural modelling[J]. Mechanics of Materials,2000,32(8):449-462.
【20】SMIT R J M, BREKELMANS W A M, MEIJER H E H. Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling[J]. Computer Methods in Applied Mechanics and Engineering, 1998, 155(1/2):181-192.
【21】SAUZAY M. Cubic elasticity and stress distribution at the free surface of polycrystals[J]. Acta Materialia, 2007, 55(4):1193-1202.
【22】DENG G J, TU S T, ZHANG X C, et al. Grain size effect on the small fatigue crack initiation and growth mechanisms of nickel-based superalloy GH4169[J]. Engineering Fracture Mechanics, 2015, 134:433-450.
【23】WANG R Q, LI D, HU D Y, et al. A combined critical distance and highly-stressed-volume model to evaluate the statistical size effect of the stress concentrator on low cycle fatigue of TA19 plate[J]. International Journal of Fatigue, 2017, 95:8-17.
相关信息