Modeling hot deformation behavior of low-cost Ti-2Al-9.2Mo-2Fe beta titanium alloy using a deep neural network
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摘要
Ti-2 Al-9.2 Mo-2 Fe is a low-cost β titanium alloy with well-balanced strength and ductility, but hot working of this alloy is complex and unfamiliar. Understanding the nonlinear relationships among the strain,strain rate, temperature, and flow stress of this alloy is essential to optimize the hot working process.In this study, a deep neural network(DNN) model was developed to correlate flow stress with a wide range of strains(0.025–0.6), strain rates(0.01–10 s~(-1)) and temperatures(750–1000℃). The model, which was tested with 96 unseen datasets, showed better performance than existing models, with a correlation coefficient of 0.999. The processing map constructed using the DNN model was effective in predicting the microstructural evolution of the alloy. Moreover, it led to the optimization of hot-working conditions to avoid the formation of brittle precipitates(temperatures of 820–1000℃ and strain rates of 0.01–0.1 s~(-1)).
Ti-2 Al-9.2 Mo-2 Fe is a low-cost β titanium alloy with well-balanced strength and ductility, but hot working of this alloy is complex and unfamiliar. Understanding the nonlinear relationships among the strain,strain rate, temperature, and flow stress of this alloy is essential to optimize the hot working process.In this study, a deep neural network(DNN) model was developed to correlate flow stress with a wide range of strains(0.025–0.6), strain rates(0.01–10 s~(-1)) and temperatures(750–1000℃). The model, which was tested with 96 unseen datasets, showed better performance than existing models, with a correlation coefficient of 0.999. The processing map constructed using the DNN model was effective in predicting the microstructural evolution of the alloy. Moreover, it led to the optimization of hot-working conditions to avoid the formation of brittle precipitates(temperatures of 820–1000℃ and strain rates of 0.01–0.1 s~(-1)).
Ti-2 Al-9.2 Mo-2 Fe is a low-cost β titanium alloy with well-balanced strength and ductility, but hot working of this alloy is complex and unfamiliar. Understanding the nonlinear relationships among the strain,strain rate, temperature, and flow stress of this alloy is essential to optimize the hot working process.In this study, a deep neural network(DNN) model was developed to correlate flow stress with a wide range of strains(0.025–0.6), strain rates(0.01–10 s~(-1)) and temperatures(750–1000℃). The model, which was tested with 96 unseen datasets, showed better performance than existing models, with a correlation coefficient of 0.999. The processing map constructed using the DNN model was effective in predicting the microstructural evolution of the alloy. Moreover, it led to the optimization of hot-working conditions to avoid the formation of brittle precipitates(temperatures of 820–1000℃ and strain rates of 0.01–0.1 s~(-1)).
引文
[1]D.Banerjee,J.C.Williams,Acta Mater.61(2013)844-879.
[2]R.R.Boyer,R.D.Briggs,J.Mater.Eng.Perform.14(2005)681-685.
[3]Q.Xue,Y.J.Ma,J.F.Lei,R.Yang,C.Wang,J.Mater.Sci.Technol.34(2018)2507-2514.
[4]Y.Kosaka,S.P.Fox,K.Faller,S.H.Reichman,J.Mater.Eng.Perform.14(2005)792-798.
[5]L.Gerd,J.C.Williams,Titanium,Springer-Verlag,Berlin Heidelberg,2007.
[6]C.L.Li,W.J.Ye,X.J.Mi,S.X.Hui,D.G.Lee,Y.T.Lee,Key Eng.Mater.551(2013)114-117.
[7]C.L.Li,X.J.Mi,W.J.Ye,S.X.Hui,D.G.Lee,Y.T.Lee,Mater.Sci.Eng.A 645(2015)225-231.
[8]C.L.Li,X.J.Mi,W.J.Ye,S.X.Hui,D.G.Lee,Y.T.Lee,Mater.Sci.Eng.A 580(2013)250-256.
[9]T.Furuhara,B.Poorganji,H.Abe,T.Maki,JOM 59(2007)64-67.
[10]J.Zhang,H.Di,H.Wang,K.Mao,T.Ma,Y.Cao,J.Mater.Sci.47(2012)4000-4011.
[11]N.G.Jones,R.J.Dashwood,D.Dye,M.Jackson,Metall.Mater.Trans.A 40(2009)1944-1954.
[12]J.Zhao,J.Zhong,F.Yan,F.Chai,M.Dargusch,J.Alloys Compd.710(2017)616-627.
[13]K.Hua,X.Xue,H.Kou,J.Fan,B.Tang,J.Li,J.Alloys Compd.615(2014)531-537.
[14]H.Liang,H.Guo,Y.Ning,X.Peng,C.Qin,Z.Shi,Y.Nan,Mater.Des.63(2014)798-804.
[15]F.S.Qu,Y.H.Zhou,L.Y.Zhang,Z.H.Wang,J.Zhou,Mater.Des.69(2015)153-162.
[16]C.Cheng,B.Yu,Z.Chen,J.Liu,Q.Wang,J.Mater.Sci.Technol.34(2018)1859-1866.
[17]W.H.Johnson,G.R.Cook,A constitutive model and data for metals subjected to large strains,high strain rates and high temperatures,Proc.Seventh Int.Symp.Ballist.(1983)541-547.
[18]A.S.Khan,R.Liang,Int.J.Plast.15(1999)1089-1109.
[19]P.S.Follansbee,G.T.Gray,Metall.Trans.A 20(1989)863-874.
[20]M.J.Kim,H.J.Jeong,J.W.Park,S.T.Hong,H.N.Han,Met.Mater.Int.24(2018)42-50.
[21]S.Nemat-Nasser,J.B.Isaacs,Acta Mater.45(1997)907-919.
[22]C.H.Park,S.G.Hong,C.S.Lee,Mater.Sci.Eng.A 528(2011)1154-1161.
[23]Y.Sun,W.D.Zeng,Y.Q.Zhao,X.M.Zhang,Y.Shu,Y.G.Zhou,Mater.Des.32(2011)1537-1541.
[24]W.Peng,W.Zeng,Q.Wang,H.Yu,Mater.Des.51(2013)95-104.
[25]Y.Sun,W.D.Zeng,Y.Q.Zhao,Y.L.Qi,X.Ma,Y.F.Han,Comput.Mater.Sci.48(2010)686-691.
[26]M.Li,X.Liu,A.Xiong,J.Mater,Process.Technol.121(2002)1-4.
[27]G.Quan,W.Lv,Y.Mao,Y.Zhang,J.Zhou,Mater.Des.50(2013)51-61.
[28]J.Schmidhuber,Neural Netw.61(2015)85-117.
[29]L.Liu,R.C.Chen,Transp.Res.Part C Emerg.Technol.84(2017)74-91.
[30]X.Yin,C.Park,Y.Li,W.Ye,Y.Zuo,S.Lee,J.Yeom,X.Mi,J.Alloys Compd.693(2017)426-431.
[31]S.Mandal,A.K.Bhaduri,V.S.Sarma,Metall.Mater.Trans.A 42(2011)1062-1072.
[32]N.S.Reddy,Y.H.Lee,C.H.Park,C.S.Lee,Mater.Sci.Eng.A 492(2008)276-282.
[33]L.Li,J.Zhou,J.Duszczyk,J.Mater,Process.Technol.172(2006)372-380.
[34]S.L.Semiatin,G.D.Lahoti,Metall.Trans.A 12(1981)1705-1717.
[35]B.Li,Q.Pan,Z.Yin,J.Alloys Compd.584(2014)406-416.
[36]G.Ji,F.Li,Q.Li,H.Li,Z.Li,Mater.Sci.Eng.A 528(2011)4774-4782.
[37]H.Y.Li,D.D.Wei,Y.H.Li,X.F.Wang,Mater.Des.35(2012)557-562.
[38]J.Zhao,H.Ding,W.Zhao,M.Huang,D.Wei,Z.Jiang,Comput.Mater.Sci.92(2014)47-56.
[39]Z.C.Sun,H.Yang,G.J.Han,X.G.Fan,Mater.Sci.Eng.A 527(2010)3464-3471.
[40]H.Matsumoto,D.Naito,K.Miyoshi,K.Yamanaka,A.Chiba,Y.Yamabe-Mitarai,Sci.Technol.Adv.Mater.18(2017)893-904.
[41]K.Tan,J.Li,Z.Guan,J.Yang,J.Shu,Mater.Des.84(2015)204-211.
[42]H.J.Frost,M.F.Ashby,Deformation-mechanism Maps:the Plasticity and Creep of Metals and Ceramics,Pergamon Press,1982.
[43]H.Yu,C.Li,Y.Xin,A.Chapuis,X.Huang,Q.Liu,Acta Mater.128(2017)313-326.
[44]Y.V.R.K.Prasad,T.Seshacharyulu,Int.Mater.Rev.43(1998)243-258.
[45]Y.V.R.K.Prasad,J.Mater.Eng.Perform.12(2003)638-645.
[46]Y.V.R.K.Prasad,K.P.Rao,S.Sasidhara,A.S.M.I.Staff,Hot Working Guide:ACompendium of Processing Maps,ASM International,2015.
[47]H.Matsumoto,M.Kitamura,Y.Li,Y.Koizumi,A.Chiba,Mater.Sci.Eng.A 611(2014)337-344.
[48]V.V.Balasubrahmanyam,Y.V.R.K.Prasad,Mater.Sci.Eng.A 336(2002)150-158.
[2]R.R.Boyer,R.D.Briggs,J.Mater.Eng.Perform.14(2005)681-685.
[3]Q.Xue,Y.J.Ma,J.F.Lei,R.Yang,C.Wang,J.Mater.Sci.Technol.34(2018)2507-2514.
[4]Y.Kosaka,S.P.Fox,K.Faller,S.H.Reichman,J.Mater.Eng.Perform.14(2005)792-798.
[5]L.Gerd,J.C.Williams,Titanium,Springer-Verlag,Berlin Heidelberg,2007.
[6]C.L.Li,W.J.Ye,X.J.Mi,S.X.Hui,D.G.Lee,Y.T.Lee,Key Eng.Mater.551(2013)114-117.
[7]C.L.Li,X.J.Mi,W.J.Ye,S.X.Hui,D.G.Lee,Y.T.Lee,Mater.Sci.Eng.A 645(2015)225-231.
[8]C.L.Li,X.J.Mi,W.J.Ye,S.X.Hui,D.G.Lee,Y.T.Lee,Mater.Sci.Eng.A 580(2013)250-256.
[9]T.Furuhara,B.Poorganji,H.Abe,T.Maki,JOM 59(2007)64-67.
[10]J.Zhang,H.Di,H.Wang,K.Mao,T.Ma,Y.Cao,J.Mater.Sci.47(2012)4000-4011.
[11]N.G.Jones,R.J.Dashwood,D.Dye,M.Jackson,Metall.Mater.Trans.A 40(2009)1944-1954.
[12]J.Zhao,J.Zhong,F.Yan,F.Chai,M.Dargusch,J.Alloys Compd.710(2017)616-627.
[13]K.Hua,X.Xue,H.Kou,J.Fan,B.Tang,J.Li,J.Alloys Compd.615(2014)531-537.
[14]H.Liang,H.Guo,Y.Ning,X.Peng,C.Qin,Z.Shi,Y.Nan,Mater.Des.63(2014)798-804.
[15]F.S.Qu,Y.H.Zhou,L.Y.Zhang,Z.H.Wang,J.Zhou,Mater.Des.69(2015)153-162.
[16]C.Cheng,B.Yu,Z.Chen,J.Liu,Q.Wang,J.Mater.Sci.Technol.34(2018)1859-1866.
[17]W.H.Johnson,G.R.Cook,A constitutive model and data for metals subjected to large strains,high strain rates and high temperatures,Proc.Seventh Int.Symp.Ballist.(1983)541-547.
[18]A.S.Khan,R.Liang,Int.J.Plast.15(1999)1089-1109.
[19]P.S.Follansbee,G.T.Gray,Metall.Trans.A 20(1989)863-874.
[20]M.J.Kim,H.J.Jeong,J.W.Park,S.T.Hong,H.N.Han,Met.Mater.Int.24(2018)42-50.
[21]S.Nemat-Nasser,J.B.Isaacs,Acta Mater.45(1997)907-919.
[22]C.H.Park,S.G.Hong,C.S.Lee,Mater.Sci.Eng.A 528(2011)1154-1161.
[23]Y.Sun,W.D.Zeng,Y.Q.Zhao,X.M.Zhang,Y.Shu,Y.G.Zhou,Mater.Des.32(2011)1537-1541.
[24]W.Peng,W.Zeng,Q.Wang,H.Yu,Mater.Des.51(2013)95-104.
[25]Y.Sun,W.D.Zeng,Y.Q.Zhao,Y.L.Qi,X.Ma,Y.F.Han,Comput.Mater.Sci.48(2010)686-691.
[26]M.Li,X.Liu,A.Xiong,J.Mater,Process.Technol.121(2002)1-4.
[27]G.Quan,W.Lv,Y.Mao,Y.Zhang,J.Zhou,Mater.Des.50(2013)51-61.
[28]J.Schmidhuber,Neural Netw.61(2015)85-117.
[29]L.Liu,R.C.Chen,Transp.Res.Part C Emerg.Technol.84(2017)74-91.
[30]X.Yin,C.Park,Y.Li,W.Ye,Y.Zuo,S.Lee,J.Yeom,X.Mi,J.Alloys Compd.693(2017)426-431.
[31]S.Mandal,A.K.Bhaduri,V.S.Sarma,Metall.Mater.Trans.A 42(2011)1062-1072.
[32]N.S.Reddy,Y.H.Lee,C.H.Park,C.S.Lee,Mater.Sci.Eng.A 492(2008)276-282.
[33]L.Li,J.Zhou,J.Duszczyk,J.Mater,Process.Technol.172(2006)372-380.
[34]S.L.Semiatin,G.D.Lahoti,Metall.Trans.A 12(1981)1705-1717.
[35]B.Li,Q.Pan,Z.Yin,J.Alloys Compd.584(2014)406-416.
[36]G.Ji,F.Li,Q.Li,H.Li,Z.Li,Mater.Sci.Eng.A 528(2011)4774-4782.
[37]H.Y.Li,D.D.Wei,Y.H.Li,X.F.Wang,Mater.Des.35(2012)557-562.
[38]J.Zhao,H.Ding,W.Zhao,M.Huang,D.Wei,Z.Jiang,Comput.Mater.Sci.92(2014)47-56.
[39]Z.C.Sun,H.Yang,G.J.Han,X.G.Fan,Mater.Sci.Eng.A 527(2010)3464-3471.
[40]H.Matsumoto,D.Naito,K.Miyoshi,K.Yamanaka,A.Chiba,Y.Yamabe-Mitarai,Sci.Technol.Adv.Mater.18(2017)893-904.
[41]K.Tan,J.Li,Z.Guan,J.Yang,J.Shu,Mater.Des.84(2015)204-211.
[42]H.J.Frost,M.F.Ashby,Deformation-mechanism Maps:the Plasticity and Creep of Metals and Ceramics,Pergamon Press,1982.
[43]H.Yu,C.Li,Y.Xin,A.Chapuis,X.Huang,Q.Liu,Acta Mater.128(2017)313-326.
[44]Y.V.R.K.Prasad,T.Seshacharyulu,Int.Mater.Rev.43(1998)243-258.
[45]Y.V.R.K.Prasad,J.Mater.Eng.Perform.12(2003)638-645.
[46]Y.V.R.K.Prasad,K.P.Rao,S.Sasidhara,A.S.M.I.Staff,Hot Working Guide:ACompendium of Processing Maps,ASM International,2015.
[47]H.Matsumoto,M.Kitamura,Y.Li,Y.Koizumi,A.Chiba,Mater.Sci.Eng.A 611(2014)337-344.
[48]V.V.Balasubrahmanyam,Y.V.R.K.Prasad,Mater.Sci.Eng.A 336(2002)150-158.