132 Numerical simulation research of investment [3]Liu Limin M,Shan Z Dhengde,Liu Feng,et casting for TiB/A356 aluminum base al.High-quality manufacturing method of composite[J]Rare Metal Meterials and complicated casting based on multi-material Engineering.2014.43(1):47-51. hybrid moulding process.China Foundry.2018, [13]Samuel E.Golbahar B.Samuel A M.et al. 15(5):343-350. Effect of grain refiner on the tensile and impact [5]GUOuo Zhi SHANhan Z_Dhengde, properties of Al-Si-Mg cast alloys[J]Materials LIiu Feng-,et al.Experimental investigation &Design.2014.56:468-479 on the performance and mesostructure of [14]Jones H.Cooling rates During rapid multi-material composite 3D-printed sand solidification from a chill surface[J].Materials mold[J].Rapid Prototyping Journal,2019, Letters.1996.26(3:133 26(2:309-318 5]贾丽敏，徐达鸣，郭量2 离心铸造 [6]SHANhan Zhengd De,GUOuo Zhi,DUu TC4合金冷速对其组织和效密性能的影响山 Deng,et al.Digital high-efficiency print 中国有色金属学报 2010 (4)：767- forming method and device for multi-material 273 casting molds[J].Frontiers of Mechanical Jia L M.Xu MD.Guo I Net al Effect of cooling Engineering,2020,15(1):328-337. rate on structure and tensile strength of [刀单忠德无模铸造M北京：机械工业出版 centrifugally cast TC4 alloy in ceramic-shell 社，2017. mold[IThe Chinese Journal of Nonferrous Shan Z D.Patternless Casting[M].Beijing: Metals201020(4):767-773 Machinery industry press,2017. 16]Chen Z W.Lei Y M.Zhang H F.Structure [8]Shan Z D,Yang H Q,Liu F,et al. andproperties of nanostructured A356 alloy Performance-of dDigital pPatternless fFreeze produced by melt spinning compared with direct casting sSand mMould [J].China Foundry chill ingot [J1.J.Alloy.Compd.2011.509:7473- 2020,17(4):308-301 7477. [9]Yang H Q,Shan Z D,Wang Y F,et [14] al.Simulation of temperature field of A356 [12☑李晓燕，卢雅琳，王健等.稀土Er对 aluminum alloy in freeze casting [C].4th A356铝合金微观组织和力学性能的影响) International Conference on Fluid Mechanics 材料工程.2018,46(1)：67-73. and Industrial Applications,Taiyuan,2020 Li X Y,Lu YL,Wang J,et al.Effect of Rare [10]杨浩秦.数字仫无模冷冻铸造成形机理研 Earth Erbium on Microstructure and Mechanical 究D1.北京：机械科学研究总院，2020 Properties of A356 Aluminum Alloy[J].Journal Yang H Q.Study on Forming mMechanism of of Materials Engineering.2018,46(1):67-73 dDigital pPatternless fFreezing cCasting [D]. [138]Kobayashi T.Strength and fracture of Beijing:China Academy of Machinery Science aluminum alloy[J].Materials Science and and Technology,2020. Engineering A.2000,2008(1):&-16. [11]单忠德，杨浩秦，刘丰等数字化无模冷 [149]Jiang W M.Fan Z T.Liu D J. 冻铸造成形方法研究).稀有金属材料与工程. Microstructure.tensile properties and 2020,49(12):4321-4328. fractography of a356 alloy under as-cast and T6 Shan Z D.Yang H Q,Liu F,et al.Research on obtained with expendable pattern shell casting Forming Method of Digital Patternless Freezing processI Transaction of Nonferrous Metals Casting-J].Rare metal materials and Society of China.2012.22 (S1):7-13. engineering-2020,49(12):4321-4328. [201王正军，司乃潮，王俊，等.动态复合 [12]Zhang J.Zhang D Q.Wu P W.et al. 细化变质对A356铝合金显微组织的影响山132. [3] Liu Limin M, Shan Z Dhongde, Liu Feng, et al. High-quality manufacturing method of complicated casting based on multi-material hybrid moulding process. China Foundry. 2018, 15(5): 343-350. [5] GUOuo Zhi , SHANhan Z Dhongde , LIUiu Feng , et al. Experimental investigation on the performance and mesostructure of multi-material composite 3D-printed sand mold[J]. Rapid Prototyping Journal, 2019, 26(2): 309-318. [6] SHANhan Zhongd De , GUOuo Zhi , DUu Dong, et al. Digital high-efficiency print forming method and device for multi-material casting molds[J]. Frontiers of Mechanical Engineering, 2020, 15(1):328-337. [7] 单忠德.无模铸造[M].北京：机械工业出版 社，2017. Shan Z D. Patternless Casting[M]. Beijing: Machinery industry press, 2017. [8] Shan Z D, Yang H Q, Liu F, et al. Performance of dDigital pPatternless fFreeze￾casting sSand mMould [J]. China Foundry. 2020,17(4): 308-301. [9] Yang H Q, Shan Z D, Wang Y F, et al.Simulation of temperature field of A356 aluminum alloy in freeze casting [C].4th International Conference on Fluid Mechanics and Industrial Applications,Taiyuan, 2020. [10]杨浩秦.数字化无模冷冻铸造成形机理研 究[D].北京：机械科学研究总院，2020. Yang H Q. Study on Forming mMechanism of dDigital pPatternless fFreezing cCasting [D]. Beijing: China Academy of Machinery Science and Technology, 2020. [11]单忠德，杨浩秦，刘丰等.数字化无模冷 冻铸造成形方法研究[J]. 稀有金属材料与工程. 2020，49(12)：4321-4328. Shan Z D, Yang H Q, Liu F , et al. Research on Forming Method of Digital Patternless Freezing Casting [J]. Rare metal materials and engineering. . 2020, 49(12): 4321-4328. [12] Zhang J, Zhang D Q, Wu P W, et al. Numerical simulation research of investment casting for TiB2/ A356 aluminum base composite[J]. Rare Metal Meterials and Engineering, 2014, 43(1): 47-51. [13] Samuel E, Golbahar B, Samuel A M, et al. Effect of grain refiner on the tensile and impact properties of Al–Si–Mg cast alloys[J]. Materials & Design, 2014, 56: 468-479. [14]Jones H. Cooling rates During rapid solidification from a chill surface[J]. Materials Letters, 1996, 26(3): 133. [15]贾丽敏，徐达鸣，郭景杰，等. 离心铸造 TC4 合金冷速对其组织和力学性能的影响[J]. 中国有色金属学报，2010，20（4）：767- 773. Jia L M, Xu M D, Guo J J, et al.Effect of cooling rate on structure and tensile strength of centrifugally cast TC4 alloy in ceramic-shell mold[J].The Chinese Journal of Nonferrous Metals, 2010,20(4):767-773. [16]Chen Z W, Lei Y M, Zhang H F. Structure and properties of nanostructured A356 alloy produced by melt spinning compared with direct chill ingot [J]. J. Alloy. Compd, 2011, 509: 7473- 7477. [14] [127]李晓燕，卢雅琳，王健等.稀土 Er 对 A356 铝合金微观组织和力学性能的影响[J]. 材料工程.2018，46(1)：67-73. Li X Y，Lu Y L，Wang J，et al.Effect of Rare Earth Erbium on Microstructure and Mechanical Properties of A356 Aluminum Alloy[J].Journal of Materials Engineering.2018, 46(1):67-73. [138] Kobayashi T. Strength and fracture of aluminum alloy[J]. Materials Science and Engineering A.2000, 2008(1)：8-16. [149] Jiang W M, Fan Z T, Liu D J. Microstructure, tensile properties and fractography of A356 alloy under as-cast and T6 obtained with expendable pattern shell casting process[J]. Transaction of Nonferrous Metals Society of China. 2012, 22（S1）：7-13. [20]王正军，司乃潮，王 俊，等．动态复合 细化变质对 A356 铝合金显微组织的影响[J]. 录用稿件，非最终出版稿