钛合金双态组织高温拉伸行为的晶体塑性有限元研究

doi:10.11901/1005.3093.2018.514

材料研究学报

2019, Vol. 33

Issue (4): 241-253 DOI: 10.11901/1005.3093.2018.514

本期目录 | 过刊浏览

钛合金双态组织高温拉伸行为的晶体塑性有限元研究

李学雄^1,²,徐东生¹(

),杨锐¹

1. 中国科学院金属研究所沈阳 110016
2. 中国科学院大学北京 100049

CPFEM Study of High Temperature Tensile Behavior of Duplex Titanium Alloy

Xuexiong LI^1,²,Dongsheng XU¹(

),Rui YANG¹

1. Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
2. University of Chinese Academy of Sciences, Beijing 100049, China

引用本文:

李学雄,徐东生,杨锐. 钛合金双态组织高温拉伸行为的晶体塑性有限元研究[J]. 材料研究学报, 2019, 33(4): 241-253.
Xuexiong LI, Dongsheng XU, Rui YANG. CPFEM Study of High Temperature Tensile Behavior of Duplex Titanium Alloy[J]. Chinese Journal of Materials Research, 2019, 33(4): 241-253.

全文: PDF(19804 KB) HTML

摘要:

创建一个包含多变体结构特征的双态组织几何模型，提出一种变形协调性的评估方法，采用以率相关滑移为主的晶体塑性有限元本构关系，研究了具有不同组织特征的Ti-6Al-4V合金双态组织的高温拉伸行为。结果表明：在多晶变形过程中，α_p相承载了更多的应变；在变形后的样品中，出现了大致对称分布于拉伸方向两侧的高应变交叉条带；存在于α_p与β_T之间的包围结构特征，可加剧局域应变分配的差异；随着α_p相体积分数的升高应变量降低，整体应变协调性先较快降低而后平稳；随着α_s片层厚度的增加高应变条带特征弱化，整体应变协调系数升高；含双变体α_s片层团簇结构的β_T组织，其应变协调性低于含单变体和三变体的组织。

关键词 ：材料科学基础学科, 变形协调性, 晶体塑性有限元, 钛合金, 双态组织, 应力应变分配

Abstract：

Duplex microstructure models containing multi-variants in each β transformed (β_T) grains are established, and then, the high temperature tensile deformation of Ti-6Al-4V alloys with different microstructure features was investigated via the rate-dependent crystal plasticity finite element simulation by taking all slip systems in the α and β phases into consideration. The spatial distributions and time evolution of the stress and strain in various grains and phases are analyzed in detail, and a new method is proposed to evaluate quantitatively the deformation consistency. Simulation results showed that α_p underwent higher strain distribution rather than β_T, and inter-crossing high strain bands formed in the duplex microstructure and distributed symmetrically with respect to the tensile direction. The surrounding structure formed between α_p and β_T grains can enhance the differences in the local strain distribution. Increasing the volume fraction of α_p may reduce the strain allocation in α_p, the consistency coefficient of strain first decrease rapidly and then stabilized. As the thickness of α_s increase, the feature of high strain bands weakened and the consistency coefficient of strain increased. The consistency coefficient of strain for β_T containing double α_s variants is usually lower than that with single or three α_s variants.

Key words： foundational discipline in materials science deformation compatibility CPFEM titanium alloy duplex microstructure distributions of micro stress and strain

收稿日期: 2018-08-20

ZTFLH:

TG113.25

基金资助:国家重点研发计划(2016YFB0701304);中国科学院信息化专项课题(XXH13506-304)

作者简介: 李学雄，男，1987年生，博士生

	服务

	把本文推荐给朋友
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	李学雄
	徐东生
	杨锐
44.8K

链接本文:

https://www.cjmr.org/CN/10.11901/1005.3093.2018.514 或 https://www.cjmr.org/CN/Y2019/V33/I4/241

图1 双态组织的几何模型

表1 钛合金不同相的滑移系

表2 Ti-6Al-4V晶体塑性参数(750℃)

图2 双态组织的高温拉伸应力应变云图

图3 双态组织高温拉伸后的平均位错密度云图和各滑移系开动应变统计(40% αp，750℃，20%拉伸)

图4 双态组织的应力应变频率统计图

图5 初生α相体积分数不同的双态组织的高温拉伸应力应变云图

图6 初生α相的含量对双态组织平均应力应变和协调系数的影响

图7 具有不同α片层厚度的双态组织的高温拉伸应力应变云图

图8 α片层厚度对双态组织平均应力应变和协调系数的影响

图9 具有不同α片层团簇数目的双态组织高温拉伸应力应变云图

图10 α片层团簇数目对双态组织平均应力应变和协调系数的影响

[1]	LütjeringG, WilliamsJ C. Titanium, 2nd Ed [M]. New York: Springer, 2007
[2]	ZhaoY Q, ChenY N, ZhangX M, et al. Phase Transformation and Heat treatment of Titanium Alloys [M]. Changsha: Central South University Press, 2012
[2]	(赵永庆, 陈永楠, 张学敏等. 钛合金相变及热处理 [M]. 长沙: 中南大学出版社, 2012)
[3]	MaY J, LiuJ R, LeiJ F, et al. The influence of multi heat-treatment on microstructure and mechanical properties of TC4 alloy [J]. Chinese Journal of Materials Research, 2008, 22(5): 555
[3]	(马英杰, 刘建荣, 雷家峰等. 多重热处理对TC4合金的组织和力学性能的影响 [J]. 材料研究学报, 2008, 22(5): 555)
[4]	WangX Y, LiuJ R, LeiJ F, et al. Effects of primary and secondary α phase on tensile property and fracture toughness of Ti-1023 alloy [J]. Acta Metall. Sin., 2007, 43(11): 1129
[4]	(王晓燕, 刘建荣, 雷家峰等. 初生及次生α相对Ti-1023合金拉伸性能和断裂韧性的影响 [J]. 金属学报, 2007, 43(11): 1129)
[5]	PengM Q, ChenX W, ZhengC, et al. Effects of secondary α phase width on dynamic mechanical properties and sensitivity of adiabatic shear banding in bimodal microstructures of TC4 alloy [J]. Rare Metal Mat. Eng., 2017, 46(7): 1843
[5]	(彭美旗, 程兴旺, 郑超等. 次生片层α相宽度对双态组织TC4 钛合金动态压缩性能及其绝热剪切敏感性的影响 [J]. 稀有金属材料与工程, 2017, 46(7): 1843)
[6]	SongM, MaY J, WuJ, et al. Effect of cooling rate on microstructure and properties of Ti-5.8Al-3Mo-1Cr-2Sn-2Zr-1V-0.1Si [J]. The Chinese Journal of Nonferrous Metals, 2010, 20(1): 588
[6]	(宋淼, 马英杰, 邬军等. 冷却速率对Ti-5.8Al-3Mo-1Cr-2Sn-2Zr-1V-0.15Si合金组织及性能的影响 [J]. 中国有色金属学报, 2010, 20(1): 588)
[7]	ZangX L, ZhaoX Q, JoongkeunP, et al. Numerical simulation on distribution of micro stress-strain in dual-phase titanium alloys [J]. Rare Metal Mat. Eng., 2009, 38(6): 1058
[7]	(臧新良, 赵希庆, Joongkeun P等. 双相钛合金微观应力-应变分布的数值模拟 [J]. 稀有金属材料与工程, 2009, 38(6): 1058)
[8]	TangB, XieS, LiuY, et al. Crystal plasticity finite element study of incompatible deformation behavior in two phase microstructure in near beta titanium alloy [J]. Rare Metal Mat. Eng., 2015, 44(3): 532
[9]	BrittonT B, LiangH, DunneF P E, et al. The effect of crystal orientation on the indentation response of commercially pure titanium: experiments and simulations [J]. Proc. R. Soc. A-Math. Phys. Eng. Sci., 2010, 466(2115): 695
[10]	WilkinsonA J, ClarkeE E, BrittonT B, et al. High resolution electron backscatter diffraction: an emerging tool for studying local deformation [J]. J. Strain Anal. Eng. Des., 2010, 45(45): 365
[11]	FanX G, YangH. Internal-state-variable based self-consistent constitutive modeling for hot working of two-phase titanium alloys coupling microstructure evolution [J]. Int. J. Plast., 2011, 27(11): 1833
[12]	KataniS, MadadiF, AtapourM, et al. Micromechanical modelling of damage behaviour of Ti-6Al-4V [J]. Mater. Des., 2013, 49: 1016
[13]	NetiS, VijayshankarM N, AnkemS. Finite element method modeling of deformation behavior of two-phase materials part I: stress-strain relations [J]. Mater. Sci. Eng. A-Struct. Mater., 1991, 145(1): 47
[14]	BridierF, McDowellD L, VillechaiseP, et al. Crystal plasticity modeling of slip activity in Ti-6Al-4V under high cycle fatigue loading [J]. Int. J. Plast., 2009, 25(6): 1066
[15]	MaY J, LiJ W, LeiJ F, et al. Influences of microstructure on fatigue crack propagating path and crack growth rates in TC4ELI alloy [J]. Acta Metall. Sin., 2010, 46(9): 1086
[15]	(马英杰, 李晋炜, 雷家峰等. 显微组织对TC4ELI合金疲劳裂纹扩展路径及扩展速率的影响 [J]. 金属学报, 2010, 46(9): 1086)
[16]	MaY J, LiuJ R, LeiJ F, et al. Influence of fatigue crack tip plastic zone on crack propagation behavior in TC4ELI alloy [J]. Acta Metall. Sin., 2009, 19(10): 1789
[16]	(马英杰, 刘建荣, 雷家峰等. TC4ELI合金疲劳裂纹尖端塑性区对裂纹扩展的影响 [J]. 中国有色金属学报, 2009, 19(10): 1789)
[17]	HanF B. CPFEM study of nonindentation and high cycle fatigue behavior for Ti-6Al-4V alloy [D]. Xi’an: Northwestern Polytechnical University, 2009
[17]	(韩逢博. Ti-6Al-4V合金纳米压痕变形与高周疲劳行为CPFEM研究 [D]. 西安: 西北工业大学, 2016)
[18]	KuangS, KangY L, YuH, et al. Stress-strain partitioning analysis of constituent phases in dual phase steel based on the modified law of mixture [J]. Int. J. Miner. Metall. Mater., 2009, 16(4): 393
[19]	HuangB Y, LiC G, ShiL K, et al. China Materials Engineering Canon, Vol.04, Non-Ferrous Metal Materials and Engineering [M]. Beijing: Chemical Industries Press, 1994
[19]	(黄伯云, 李成功, 石开力等. 材料工程大典,第4卷,有色金属材料工程(上) [M]. 北京: 化学工业出版社, 1994)
[20]	AsaroR J, NeedlemanA. Overview no. 42 texture development and strain-hardening in rate dependent polycrystals [J]. Acta Metallurgica, 1985, 33(6): 923
[21]	HillR. Generalized constitutive relations for incremental deformation of metal crystals by multi-slip [J]. J. Mech. Phys. Solids., 1966, 14(2): 95
[22]	HillR, RiceJ R. Constitutive analysis of elastic-plastic crystals at arbitrary strain [J]. J. Mech. Phys. Solids., 1972, 20(6): 401
[23]	PeirceD, AsaroR J, NeedlemanA. An analysis of nonuniform and localized deformation in ductile single-crystals [J]. Acta Metallurgica, 1982, 30(6): 1087
[24]	ProustG, TomeC N, KaschnerG C. Modeling texture, twinning and hardening evolution during deformation of hexagonal materials [J]. Acta Mater., 2007, 55(6): 2137
[25]	TomeC, KaschnerG C. Modeling texture, twinning and hardening evolution during deformation of hexagonal materials [J]. Materials Science Forum, 2005, 495: 1001
[26]	KalidindiS R. Incorporation of deformation twinning in crystal plasticity models [J]. J. Mech. Phys. Solids., 1998, 46(2): 267
[27]	DunneF P E, RuggD. On the mechanisms of fatigue facet nucleation in titanium alloys [J]. Fatigue Fract. Eng. Mater. Struct., 2008, 31(11): 949
[28]	McDowellD L, DunneF P E. Microstructure-sensitive computational modeling of fatigue crack formation [J]. Int. J. Fatigue., 2010, 32(9): 1521
[29]	JiaN, RotersF, EisenlohrP, et al. Non-crystallographic shear banding in crystal plasticity FEM simulations: Example of texture evolution in alpha-brass [J]. Acta Mater., 2012, 60(3): 1099
[30]	JiaN, RaabeD, ZhaoX. Texture and microstructure evolution during non-crystallographic shear banding in a plane strain compressed Cu-Ag metal matrix composite [J]. Acta Mater., 2014, 76: 238
[31]	HutchinsonJ W. Bounds and self-consistent estimates for creep of polycrystalline materials [J]. Proc. R.Soc. London Ser. A-Math. Phys. Eng. Sci., 1976, 348(1652): 101
[32]	BassaniJ L, WuT Y. Latent hardening in single crystals II analytical characterization and predictions [J]. Proc. R. Soc. A-Math. Phys. Eng. Sci., 1991, 435(1893): 21
[33]	PeirceD, AsaroR J, NeedlemanA. Material rate dependence and localized deformation in crystalline solids [J]. Acta Metallurgica, 1983, 31(12): 1951
[34]	TamuraI, TomotaY, YamaokaY, et al. The Strength and ductility of two-phase iron alloys [J]. Tetsu To Hagane-J. Iron Steel Inst. Jpn., 1973, 59(3): 454
[35]	BalasubramanianS, AnandL. Plasticity of initially textured hexagonal polycrystals at high homologous temperatures: application to titanium [J]. Acta Mater., 2002, 50(1): 133
[36]	SimmonsG, WangH. Single Crystal Elastic Constants and Calculated Aggregate Properties [M]. Cambridge: The MIT Press, 1997
[37]	OgiH, KaiS, LedbetterH, et al. Titanium's high-temperature elastic constants through the hcp-bcc phase transformation [J]. Acta Mater., 2004, 52(7): 2075
[38]	DuanY P, Mesoscopic research and simulation on hot deformation microstructure in TB8 alloy [D]. Hefei: Hefei University of Technology, 2009
[38]	(段园培. TB8合金热变形组织介观尺度研究与模拟 [D]. 合肥: 合肥工业大学, 2009)
[39]	ZherebtsovS, MurzinovaM, SalishchevG, et al. Spheroidization of the lamellar microstructure in Ti-6Al-4V alloy during warm deformation and annealing [J]. Acta Mater., 2011, 59(10): 4138
[40]	PatonN E, BackofenW A. Plastic deformation of Titanium at elevated temperatures [J]. Metall. Mater. Trans. B-Proc. Metall. Mater. Proc. Sci., 1970, 1(10): 2839
[41]	GuanJ, LiuJ R, LeiJ F, et al. The relationship of heat treatment-microstructures-mechanical properties of the TC18 titanium alloy [J]. Chinese Journal of Materials Research, 2009, 23(1): 77
[41]	(官杰, 刘建荣, 雷家峰等. TC18钛合金的组织和性能与热处理制度的关系 [J]. 材料研究学报, 2009, 23(1): 77)
[42]	YangM, WangG, TengC Y, et al. 3D phase field simulation of effect of interfacial energy anisotropy on sideplate growth in Ti-6Al-4V [J]. Acta Metall. Sin., 2012, 48(2): 148
[42]	(杨梅, 王刚, 滕春禹等. Ti-6Al-4V中界面能对α相片层生长的影响三维相场模拟 [J]. 金属学报, 2012, 48(2): 148)
[43]	ZhangJ H, XuD S, WangY Z, et al. Influences of dislocations on nucleation and micro-texture formation of α phase in Ti-6Al-4V alloy [J]. Acta Metall. Sin., 2016, 52(8): 905
[43]	(张金虎, 徐东生, 王云志等. 位错对Ti-6Al-4V合金α相形核及微织构形成的影响 [J]. 金属学报, 2016, 52(8): 905)
[44]	ShiR, WangY. Variant selection during α precipitation in Ti-6Al-4V under the influence of local stress-A simulation study [J]. Acta Mater., 2013, 61(16): 6006
[45]	BurgersW G. On the process of transition of the cubic-body-centered modification into the hexagonal-close-packed modification of zirconium [J]. Physica, 1934, 1(7): 561
[46]	WangS C, AindowM, StarinkM J. Effect of self-accommodation on α/α boundary populations in pure titanium [J]. Acta Mater., 2003, 51(9): 2485
[47]	KehagiasT, KomninouP, DimitrakopulosG P, et al. Slip transfer across low-angle grain boundaries of deformed titanium [J]. Scripta Metal Mater., 1995, 33(12): 1883

[1]	杨栋天, 熊良银, 廖洪彬, 刘实. 基于热力学模拟计算的CLF-1钢改良设计[J]. 材料研究学报, 2023, 37(8): 590-602.
[2]	冯叶, 陈志勇, 姜肃猛, 宫骏, 单以银, 刘建荣, 王清江. 一种NiCrAlSiY涂层对Ti65钛合金板材循环氧化和室温力学性能的影响[J]. 材料研究学报, 2023, 37(7): 523-534.
[3]	姜水淼, 明开胜, 郑士建. 晶界偏析以及界面相和纳米晶材料力学性能的调控[J]. 材料研究学报, 2023, 37(5): 321-331.
[4]	杜菲菲, 李超, 李显亮, 周尧尧, 阎庚旭, 李国建, 王强. 磁控溅射TiAlTaN/TaO/WS复合涂层及其钛合金的切削性能[J]. 材料研究学报, 2023, 37(4): 301-307.
[5]	陈志鹏, 朱智浩, 宋梦凡, 张爽, 刘田雨, 董闯. 基于Ti-6Al-4V团簇式设计的超高强Ti-Al-V-Mo-Nb-Zr合金[J]. 材料研究学报, 2023, 37(4): 308-314.
[6]	张瑞雪, 马英杰, 贾焱迪, 黄森森, 雷家峰, 邱建科, 王平, 杨锐. 亚稳 β 钛合金热处理显微组织演变和元素再分配行为[J]. 材料研究学报, 2023, 37(3): 161-167.
[7]	王伟, 周山琦, 宫鹏辉, 张浩泽, 史亚鸣, 王快社. 退火温度对TC4钛合金热轧板材的显微组织、织构和力学性能影响[J]. 材料研究学报, 2023, 37(1): 70-80.
[8]	蔡雨升, 韩洪智, 任德春, 吉海宾, 雷家峰. 化学腐蚀工艺对激光选区熔化成形TC4钛合金表面粗糙度的影响[J]. 材料研究学报, 2022, 36(6): 435-442.
[9]	高巍, 刘江南, 魏敬鹏, 要玉宏, 杨巍. TC4钛合金表面氧化亚铜掺杂微弧氧化层的结构和性能[J]. 材料研究学报, 2022, 36(6): 409-415.
[10]	王俊, 王克鲁, 鲁世强, 李鑫, 欧阳德来, 邱仟, 高鑫, 张开铭. TA5钛合金的应变补偿物理本构模型和加工图[J]. 材料研究学报, 2022, 36(3): 175-182.
[11]	孙艺, 韩同伟, 操淑敏, 骆梦雨. 氟化五边形石墨烯的拉伸性能[J]. 材料研究学报, 2022, 36(2): 147-151.
[12]	刘知多, 张浩宇, 程军, 周舸, 张兴君, 陈立佳. 热处理对Ti-6Mo-5V-3Al-2Fe-2Zr合金拉伸性能的影响[J]. 材料研究学报, 2022, 36(12): 919-925.
[13]	王圣元, 张浩宇, 周舸, 陈晓博, 陈立佳. 固溶温度对Ti-4Al-6Mo-2V-5Cr-2Zr钛合金的组织和拉伸性能的影响[J]. 材料研究学报, 2022, 36(12): 893-899.
[14]	李蕊, 王浩, 张天刚, 牛伟. Ti811合金表面激光熔覆Ti₂Ni+TiC+Al₂O₃+Cr_xS_y复合涂层的组织和性能[J]. 材料研究学报, 2022, 36(1): 62-72.
[15]	张会臣, 漆雪莲. 跑合过程引发钛合金水基润滑的超低摩擦特性[J]. 材料研究学报, 2021, 35(5): 349-356.

Viewed

Full text

Abstract

Cited

Shared

Discussed