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Gesellschaft fuir Metallkunde E V,1985:1503 Beijing:University of Science and Technology Beijing,2012 [1]Welsch C E,Weiss I,Eylon D,et al.Shear deformation and (张宁.GH4169合金叶片楔横轧制坯微观组织演变规律研 breakup of lamellar morphology in Ti-6Al-2Sn-4Zr2Mo alloy// 究[学位论文].北京：北京科技大学，2012) Sixth World Conference on Titanium.Les Ulis Cedex:Societe [24]Zhou J,Wang B Y,Xu W L,et al.Damage-coupled constitutive Francaise de Metallurgie,1988:1289 model of 22MnB5 steel in hot deformation.Unir Sci Technol [12]Fang J,Wang K L,Lu S Q,et al.Progress on globularization Beijing,2013,35(11):1450 mechanisms and models in titanium alloys with lamellar structure. (周靖，王宝雨，徐伟力，等.耦合损伤的22MnB5热变形本 Res Appl Mater,2010,4(1)13 构模型.北京科技大学学报，2013,35(11)：1450) (方军，王克鲁，鲁世强，等.钛合金片层组织球化规律及模 225]Cao J,Lin J G A.A study on formulation of objective functions 型的研究进展.材料研究与应用，2010,4(1)：13) for determining material models.Int J Mech Sci,2008,50(2): [13]Lin J,Liu Y.A set of unified constitutive equations for modelling 193 microstructure evolution in hot deformation.J Mater Process Tech- 6]Yue Y.Microstructure Erolution and Mechanical Properties Pre- nod,2003,143/144:281 diction of TA15 Titanium Alloy during Hot Deformed Process [14]Lin J,Dean T A.Modelling of microstructure evolution in hot [Dissertation].Harbin:Harbin Institute of Technology,2008 forming using unified constitutive equations.J Mater Process (岳洋.TA15钛合金热变形过程中微结构变与力学性能预 Technol,2005,167(2):354 测[学位论文].哈尔滨：哈尔滨工业大学，2008)北 京 科 技 大 学 学 报 第 36 卷 TA15 titanium alloy during high temperature plastic deformation． Ｒare Met Cemented Carbides，2009，37( 2) : 12 ( 纪仁峰，闵新华，胡弘剑，等． TA15 钛合金高温塑性变形流 变应力行为研究． 稀有金属与硬质合金，2009，37( 2) : 12) ［3］ Lü Y F，Meng X J，Li S K． Study on hot deformation behavior of TA15 titanium alloy． Dev Appl Mater，2010，25( 4) : 28 ( 吕逸帆，孟祥军，李士凯． TA15 钛合金高温变形行为研究． 材料开发与应用，2010，25( 4) : 28) ［4］ Shen C W，Yang H，Sun Z C，et al． Based on BP artificial neural network to building the constitutive relationship of TA15 alloy． J Plast Eng，2007，14( 4) : 101 ( 沈昌武，杨合，孙志超，等． 基于 BP 神经网络的 TA15 钛合 金本构关系建立． 塑性工程学报，2007，14( 4) : 101) ［5］ Fan X G，Yang H，Gao P F． Prediction of constitutive behavior and microstructure evolution in hot deformation of TA15 titanium alloy． Mater Des，2013，51: 34 ［6］ Semiatin S L，Seetharaman V，Weiss I． Flow behavior and globu￾larization kinetics during hot working of Ti-6Al-4V with a colony alpha microstructure． Mater Sci Eng A，1999，263( 2) : 257 ［7］ Bai Q，Lin J，Dean T A，et al． Modelling of dominant softening mechanisms for Ti-6Al-4V in steady state hot forming conditions． Mater Sci Eng A，2013，559: 352 ［8］ Margolin H，Cohen P． Evolution of the equiaxed morphology of phases in Ti-6Al-4V / / Titanium '80: Science and Technology． Warrendale: TMS，1980: 1155 ［9］ Stefansson N，Semiatin S L． Mechanisms of globularization of Ti- 6Al-4V during static heat treatment． Metall Mater Trans A，2003， 34( 3) : 691 ［10］ Weiss I，Welsch G E，Froes F H，et al． Mecha-nisms of micro￾structure refinement in Ti-6Al-4V / / International Titanium Con￾ference 5，Titanium Science and Technology． Oberursel: Deutsche Gesellschaft für Metallkunde E V，1985: 1503 ［11］ Welsch G E，Weiss I，Eylon D，et al． Shear deformation and breakup of lamellar morphology in Ti-6Al-2Sn-4Zr-2Mo alloy / / Sixth World Conference on Titanium． Les Ulis Cedex: Societe Francaise de Metallurgie，1988: 1289 ［12］ Fang J，Wang K L，Lu S Q，et al． Progress on globularization mechanisms and models in titanium alloys with lamellar structure． Ｒes Appl Mater，2010，4( 1) : 13 ( 方军，王克鲁，鲁世强，等． 钛合金片层组织球化规律及模 型的研究进展． 材料研究与应用，2010，4( 1) : 13) ［13］ Lin J，Liu Y． A set of unified constitutive equations for modelling microstructure evolution in hot deformation． J Mater Process Tech￾nol，2003，143 /144: 281 ［14］ Lin J，Dean T A． Modelling of microstructure evolution in hot forming using unified constitutive equations． J Mater Process Technol，2005，167( 2) : 354 ［15］ Lütjering G． Influence of processing on microstructure and me￾chanical properties of ( α + β) titanium alloys． Mater Sci Eng A， 1998，243( 1 /2) : 32． ［16］ Ankem S，Margolin H，Chariles A，et al． Mechanical properties of alloys consisting of two ductile phases． Prog Mater Sci，2006， 51( 5) : 632 ［17］ Ding Ｒ，Guo Z，Wilson A． Microstructural evolution of a Ti-6Al- 4V alloy during thermomechanical processing． Mater Sci Eng A， 2002，327( 2) : 233 ［18］ Khan A S，Suh Y S，Kazmi Ｒ，Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys． Int J Plast，2004． 20( 12) : 2233 ［19］ Khan A S，Kazmi Ｒ，Farrokh B，et al． Effect of oxygen content and microstructure on the thermo-mechanical response of three Ti- 6Al-4V alloys: Experiments and modeling over a wide range of strain-rates and temperatures． Int J Plast，2007，23( 7) : 1105 ［20］ Zhao Q T，Wu G Q，Sha W． Deformation of titanium alloy Ti- 6Al-4V under dynamic compression． Comput Mater Sci，2010， 50( 2) : 516 ［21］ Lei Y J，Zhang S W，Li X W，et al． Matlab Genetic Algorithm Toolbox and Applications． 4th Ed． Xi'an: Xidian University Press，2011: 3 ( 雷英杰，张善文，李续武，等． Matlab 遗传算法工具箱及应 用． 4 版． 西安: 西安电子科技大学出版社，2011: 3) ［22］ Fu L，Wang B Y，Lin J G，et al． Constitutive model for hot de￾formation of 6111 aluminum alloy coupled with dislocation densi￾ty． J Univ Sci Technol Beijing，2013，35( 10) : 1333 ( 傅垒，王宝雨，林建国，等． 耦合位错密度的6111 铝合金热 变形本构模型． 北京科技大学学报，2013，35( 10) : 1333) ［23］ Zhang N． Ｒesearch on Microstructural Evolution of GH4169 Alloy Blade During Preforming by Cross Wedge Ｒolling［Dissertation］． Beijing: University of Science and Technology Beijing，2012 ( 张宁． GH4169 合金叶片楔横轧制坯微观组织演变规律研 究［学位论文］． 北京: 北京科技大学，2012) ［24］ Zhou J，Wang B Y，Xu W L，et al． Damage-coupled constitutive model of 22MnB5 steel in hot deformation． J Univ Sci Technol Beijing，2013，35( 11) : 1450 ( 周靖，王宝雨，徐伟力，等． 耦合损伤的 22MnB5 热变形本 构模型． 北京科技大学学报，2013，35( 11) : 1450) ［25］ Cao J，Lin J G A． A study on formulation of objective functions for determining material models． Int J Mech Sci，2008，50( 2) : 193 ［26］ Yue Y． Microstructure Evolution and Mechanical Properties Pre￾diction of TA15 Titanium Alloy during Hot Deformed Process ［Dissertation］． Harbin: Harbin Institute of Technology，2008 ( 岳洋． TA15 钛合金热变形过程中微结构变与力学性能预 测［学位论文］． 哈尔滨: 哈尔滨工业大学，2008) · 039 ·