A creep model of nickel based single crystal superalloy at high temperature based on rafting mechanism
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摘要: 采用应力法以及界面能法对不同取向的镍基单晶合金在950℃下的筏化类型进行了预测.上述两种方法的筏化预测结果一致,[001]取向为N型筏化,[011]取向为P型筏化,[111]取向不筏化.进一步,根据筏化预测结果以及晶体滑移理论,结合Kachanov-Robotnov(K-R)损伤演化公式,建立了一个镍基单晶合金蠕变模型,采用该模型并结合商用有限元软件Abaqus的用户材料子程序(UMAT)二次开发接口,对[001],[011]和[111]取向下的CMSX-4镍基单晶合金,在950℃,180~450MPa应力条件下的蠕变变形行为进行了模拟.该模型能够准确预测镍基单晶合金的筏化类型以及滑移系开动规律,更加符合材料的蠕变变形物理机制,因此模型可以对镍基单晶合金的高温蠕变曲线的第2,3阶段进行很好的模拟,并得到了试验的验证.Abstract: Mises stress method and interfacial energy method were used to predict the rafting type of nickel based single crystal superalloy in different orientations at 950℃. The rafting prediction results of above two methods were consistent. The rafting type is N-type in[001] orientation, P-type in[011] orientation and there is no rafting in[111] orientation. Based on the rafting type prediction results and crystal slip theory, a creep constitutive model of nickel based single crystal superalloy considering Kachanov-Robotnov (K-R) equation of damage evolution was introduced. This creep constitutive model was incorporated as a UMAT user defined subroutine in Abaqus and applied to description of the creep behaviors of CMSX-4 single crystal superalloy in[001],[011] and[111] orientations at 950℃,180~450MPa. This model could predict the rafting and slip type of nickel based single crystal superalloy and couple well with the creep deformation physical mechanism. Therefore, this model could simulate the second and third stages of creep curve of nickel based single crystal superalloy, as this has been verified by the experimental data.
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Key words:
- nickel based single crystal superalloy /
- rafting /
- creep /
- crystal slip /
- constitutive model
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[1] Kondo Y,Kitazaki N,Namekata J,et al.Effect of morphology of γ' phase on creep resistance of a single crystal nickel-based superalloy,CMSX-4[C]//Proceedings of Superalloys 1996.Warrendale:The Minerals,Metals and Meterials Society,1996:297-304. [2] SHUI Li,JIN Tao,TIAN Sugui,et al.Influence of precipitate morphology on tensile creep of a single crystal nickel-base superalloy[J].Materials Science and Engineering:A,2007,454/455:461-466. [3] Socrate S,Parks D M.Numerical determination of the elastic driving force for directional coarsening in Ni-superalloys[J].Acta Metallurgica et Materialia,1993,41(7):2185-2209. [4] Arrell D J,Vallés J L.Rafting prediction criterion for superalloys under a multiaxial stress[J].Scripta Matrialia,1996,35(6):727-732. [5] Buffiere J Y,Ignat M.A dislocation based criterion for the raft formation in nickel-based superalloys single crystals[J].Acta Metallurgica et Materialia,1995,43(5):1791-1797. [6] Tian S G,Zhang S,Liang F S,et al.Microstructure evolution and analysis of a single crystal nickel-based superalloy during compressive creep[J].Materials Science and Engineering:A,2011,528(15):4988-4993. [7] 白露,杨晓光,石多奇,等.镍基单晶合金蠕变研究:基于晶体塑性的蠕变建模[J].航空动力学报,2009,24(9):2001-2006. BAI Lu,YANG Xiaoguang,SHI Duoqi,et al.Crystal-plasticity-based creep modelins for Ni-based single crystal superalloy[J].Journal of Aerospace Power,2009,24(9):2001-2006.(in Chinese) [8] Reed R C,Matan N,Cox D C,et al.,Creep of CMSX-4 superalloy single crystals:effects of rafting at high temperature[J].Acta Materialia,1999,47(12):3367-3381. [9] 艾兴,高行山,温志勋,等.DD6镍基单晶合金气膜孔薄壁平板高温蠕变性能[J].航空动力学报,2014,29(5):1197-1204. AI Xing,GAO Hangshan,WEN Zhixun,et al.Creep behavior of thin-walled plate with cooling holes of nickel-based single crystal superalloy DD6 under high temperature[J].Journal of Aerospace Power,2014,29(5):1197-1204.(in Chinese) [10] Matan N,Cox D C,Rae C M F,et al.On the kinetics of rafting in CMSX-4 superalloy single crystals[J].Acta Materialia,1999,47(7):2031-2045. [11] Ichitsubo T,Koumoto D,Hirao M,et al.Rafting mechanism for Ni-base superalloy under external stress:elastic or elastic-plastic phenomena[J].Acta Materialia,2003,51(14):4033-4044. [12] Kamaraj M,Serin K,Kolbe M,et al.Influence of stress state on the kinetics of γ channel widening during high temperature and low stress creep of the single crystal superalloy CMSX-4[J].Materials Science and Engineering:A,2001,319/320/321:796-799. [13] Fan Y N,Shi H J,Qiu W H.Constitutive modeling of creep behavior in single crystal sueralloys:effect of rafting at high temperatures[J].Materials Science and Engineering:A,2015,644:225-233. [14] Pyczak F,Devrient B,Mughrabi H.The effects of different alloying elements on the thermal expansion coefficients,lattice constants and misfit of nickel-based superalloys investigated by X-ray diffraction[C]//Proceedings of Superalloys 2004.Warrendale:The Minerals,Metals and Meterials Society,2004:827-836. [15] 岳珠峰,于庆民,温志勋,等.镍基单晶涡轮叶片结构强度设计[M].北京:科学出版社,2008. [16] 曹娟,王延荣,石多奇.镍基单晶高温合金蠕变筏化模型研究[J].航空动力学报,2009,24(8):1691-1698. CAO Juan,WANG Yanrong,SHI Duoqi.A rafting model for creep of Ni base single crystal at high temperature based on microstructure cell[J].Journal of Aerospace Power,2009,24(8):1691-1698.(in Chinese) [17] MacLachlan D W,Wright L W,Gunturi S,et al.Modelling the anisotropic and biaxial creep behaviour of Ni-base single crystal superalloys CMSX-4 and SRR99 at 1223K[C]//Proceedings of Superalloys 2000.Warrendale:The Minerals,Metals and Meterials Society,2000:357-366. [18] Jácome L A,Nörtershäuser P,Heyer J K,et al,High-temperature and low-stress creep anisotropy of single-crystal superalloys[J].Acta Materialia,2013,61(8):2926-2943. [19] MacLachlan D W,Wright L W,Gunturi S,et al.Constitutive modelling of anisotropic creep deformation in single crystal blade alloys SRR99 and CMSX-4[J].International Journal of Plasticity,2001,17(4):441-467.
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