| Citation: | FAN Yongsheng, MA Xiaobo, WANG Menglei, et al. Constitutive modelling for additive manufacturing superalloys considering the porosity and anisotropy[J]. Journal of Aerospace Power, 2026, 41（X）：20250352 doi: 10.13224/j.cnki.jasp.20250352
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A macroscopic constitutive model was developed to characterize the coupled evolution of anisotropy and porosity-induced damage in the mechanical response of metal additive manufacturing (AM) components. The model integrated an anisotropic yield criterion, a nonlinear mixed hardening mechanism, and a porous media damage theory to systematically describe the yield behavior, strain hardening, and damage evolution under complex loading paths. Numerical simulations were performed and compared with experimental data under monotonic tension, cyclic loading, and various build orientations. The results demonstrated that the model exhibited prediction errors of less than 5% for monotonic tensile responses of both H and V-oriented specimens made of additively manufactured high-temperature alloy, with stress amplitude deviations under cyclic loading not exceeding 4%. Furthermore, it effectively quantified the influence of pore evolution on the mechanical properties, predicting approximately 15% reduction in material ductility when porosity increased from 0.004% to 0.010%. The proposed model demonstrated strong potential for engineering application and broader implementation.
| [1] |
王华明. 高性能大型金属构件激光增材制造: 若干材料基础问题[J]. 航空学报, 2014, 35(10): 2690-2698. WANG Huaming. Materials' fundamental issues of laser additive manufacturing for high-performance large metallic components[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(10): 2690-2698. (in Chinese doi: 10.7527/S1000-6893.2014.0174
WANG Huaming. Materials' fundamental issues of laser additive manufacturing for high-performance large metallic components[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(10): 2690-2698. (in Chinese) doi: 10.7527/S1000-6893.2014.0174
|
| [2] |
任永明, 林鑫, 黄卫东. 增材制造Ti-6Al-4V合金组织及疲劳性能研究进展[J]. 稀有金属材料与工程, 2017, 46(10): 3160-3168. REN Yongming, LIN Xin, HUANG Weidong. Research progress of microstructure and fatigue behavior in additive manufacturing Ti-6Al-4V alloy[J]. Rare Metal Materials and Engineering, 2017, 46(10): 3160-3168. (in Chinese
REN Yongming, LIN Xin, HUANG Weidong. Research progress of microstructure and fatigue behavior in additive manufacturing Ti-6Al-4V alloy[J]. Rare Metal Materials and Engineering, 2017, 46(10): 3160-3168. (in Chinese)
|
| [3] |
YADOLLAHI A, SHAMSAEI N. Additive manufacturing of fatigue resistant materials: challenges and opportunities[J]. International Journal of Fatigue, 2017, 98: 14-31. doi: 10.1016/j.ijfatigue.2017.01.001
|
| [4] |
LIU Shunyu, SHIN Y C. Additive manufacturing of Ti6Al4V alloy: a review[J]. Materials and Design, 2019, 164: 107552. doi: 10.1016/j.matdes.2018.107552
|
| [5] |
CHANG Huibin, LIU Qihan, ZIMMERMAN J F, et al. Recreating the heart’s helical structure-function relationship with focused rotary jet spinning[J]. Science, 2022, 377(6602): 180-185. doi: 10.1126/science.abl6395
|
| [6] |
胡殿印, 潘锦超, 米栋, 等. 航空发动机增材制造结构强度、寿命评估与设计: 研究现状及展望[J]. 航空动力学报, 2022, 37(10): 2112-2126. HU Dianyin, PAN Jinchao, MI Dong, et al. Strength and lifetime assessment and design for additive manufacturing structures in aero-engine: review and prospects[J]. Journal of Aerospace Power, 2022, 37(10): 2112-2126. (in Chinese doi: 10.13224/j.cnki.jasp.20220465
HU Dianyin, PAN Jinchao, MI Dong, et al. Strength and lifetime assessment and design for additive manufacturing structures in aero-engine: review and prospects[J]. Journal of Aerospace Power, 2022, 37(10): 2112-2126. (in Chinese) doi: 10.13224/j.cnki.jasp.20220465
|
| [7] |
奥妮, 何子昂, 吴圣川, 等. 激光增材制造AlSi10Mg合金的力学性能研究进展[J]. 焊接学报, 2022, 43(9): 1-19, 113. AO Ni, HE Ziang, WU Shengchuan, et al. Recent progress on the mechanical properties of laser additive manufacturing AlSi10Mg alloy[J]. Transactions of the China Welding Institution, 2022, 43(9): 1-19, 113. (in Chinese doi: 10.12073/j.hjxb.20220413002
AO Ni, HE Ziang, WU Shengchuan, et al. Recent progress on the mechanical properties of laser additive manufacturing AlSi10Mg alloy[J]. Transactions of the China Welding Institution, 2022, 43(9): 1-19, 113. (in Chinese) doi: 10.12073/j.hjxb.20220413002
|
| [8] |
ZHANG X X, ANDRÄ H, HARJO S, et al. Quantifying internal strains, stresses, and dislocation density in additively manufactured AlSi10Mg during loading-unloading-reloading deformation[J]. Materials & Design, 2021, 198: 109339. doi: 10.1016/j.matdes.2020.109339
|
| [9] |
CHEN Shujun, XU Min, YUAN Tao, et al. Thermal–microstructural analysis of the mechanism of liquation cracks in wire-arc additive manufacturing of Al–Zn–Mg–Cu alloy[J]. Journal of Materials Research and Technology, 2022, 16: 1260-1271. doi: 10.1016/j.jmrt.2021.12.016
|
| [10] |
KOU S. Welding metallurgy[M]. New York, US: Wiley, 2002.
|
| [11] |
李坤, 左春林, 廖若冰, 等. 增材制造铝合金残余应力研究现状及展望[J]. 航空学报, 2024, 45(12): 029380. LI Kun, ZUO Chunlin, LIAO Ruobing, et al. Current status and prospects of research on residual stress in additive manufacturing of Al alloys[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(12): 029380. (in Chinese doi: 10.7527/S1000-6893.2023.29380
LI Kun, ZUO Chunlin, LIAO Ruobing, et al. Current status and prospects of research on residual stress in additive manufacturing of Al alloys[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(12): 029380. (in Chinese) doi: 10.7527/S1000-6893.2023.29380
|
| [12] |
SNELL R, TAMMAS-WILLIAMS S, CHECHIK L, et al. Methods for rapid pore classification in metal additive manufacturing[J]. Journal of Metals, 2020, 72(1): 101-109.
|
| [13] |
KIES F, WILMS M B, PIRCH N, et al. Defect formation and prevention in directed energy deposition of high-manganese steels and the effect on mechanical properties[J]. Materials Science and Engineering: A, 2020, 772: 138688. doi: 10.1016/j.msea.2019.138688
|
| [14] |
CUNNINGHAM R, ZHAO Cang, PARAB N, et al. Keyhole threshold and morphology in laser melting revealed by ultrahigh-speed X-ray imaging[J]. Science, 2019, 363(6429): 849-852. doi: 10.1126/science.aav4687
|
| [15] |
ZHAO Cang, PARAB N D, LI Xuxiao, et al. Critical instability at moving keyhole tip generates porosity in laser melting[J]. Science, 2020, 370(6520): 1080-1086. doi: 10.1126/science.abd1587
|
| [16] |
CHLEBUS E, GRUBER K, KUŹNICKA B, et al. Effect of heat treatment on the microstructure and mechanical properties of Inconel 718 processed by selective laser melting[J]. Materials Science and Engineering: A, 2015, 639: 647-655. doi: 10.1016/j.msea.2015.05.035
|
| [17] |
PAUL C P, GANESH P, MISHRA S K, et al. Investigating laser rapid manufacturing for Inconel-625 components[J]. Optics and Laser Technology, 2007, 39(4): 800-805. doi: 10.1016/j.optlastec.2006.01.008
|
| [18] |
LIN Y C, WEN Dongxu, DENG Jiao, et al. Constitutive models for high-temperature flow behaviors of a Ni-based superalloy[J]. Materials and Design, 2014, 59: 115-123. doi: 10.1016/j.matdes.2014.02.041
|
| [19] |
CHEONG K S, BUSSO E P. Discrete dislocation density modelling of single phase FCC polycrystal aggregates[J]. Acta Materialia, 2004, 52(19): 5665-5675. doi: 10.1016/j.actamat.2004.08.044
|
| [20] |
HAO Su, LIU W K, MORAN B, et al. Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels[J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193(17/18/19/20): 1865-1908. doi: 10.1016/j.cma.2003.12.026
|
| [21] |
JANG D P, FAZILY P, YOON J W. Machine learning-based constitutive model for J2-plasticity[J]. International Journal of Plasticity, 2021, 138: 102919. doi: 10.1016/j.ijplas.2020.102919
|
| [22] |
RG PRASAD M, BISWAS A, GEENEN K, et al. Influence of pore characteristics on anisotropic mechanical behavior of laser powder bed fusion-manufactured metal by micromechanical modeling[J]. Advanced Engineering Materials, 2020, 22(12): 2000641. doi: 10.1002/adem.202000641
|
| [23] |
WU Jiaojiao, LIU Wenqi, VAJRAGUPTA N, et al. A numerical investigation on the effects of porosity on the plastic anisotropy of additive manufactured stainless steel with various crystallographic textures[C]//Proceedings of International ESAFORM Conference on Material Forming. Liège, Belgium: ULiège Library, 2021: 4308.
|
| [24] |
李昂, 赵秋雨, 韩琦男, 等. 增材制造GH4169高温合金微动疲劳性能及寿命预测[J]. 航空动力学报, 2025, 40(11): 20240577. LI Ang, ZHAO Qiuyu, HAN Qinan, et al. Fretting fatigue properties and life prediction of additively manufactured GH4169 superalloys[J]. Journal of Aerospace Power, 2025, 40(11): 20240577. (in Chinese
LI Ang, ZHAO Qiuyu, HAN Qinan, et al. Fretting fatigue properties and life prediction of additively manufactured GH4169 superalloys[J]. Journal of Aerospace Power, 2025, 40(11): 20240577. (in Chinese)
|
| [25] |
胡殿印, 王涛, 杜俊良, 等. GH2787压气机叶片激光-喷丸复合强化疲劳强度提升方法[J]. 航空动力学报, 2025, 40(6): 20240017. HU Dianyin, WANG Tao, DU Junliang, et al. Coupled laser-shot peening for fatigue strength enhancement method on GH2787 compressor blade[J]. Journal of Aerospace Power, 2025, 40(6): 20240017. (in Chinese doi: 10.13224/j.cnki.jasp.20240017
HU Dianyin, WANG Tao, DU Junliang, et al. Coupled laser-shot peening for fatigue strength enhancement method on GH2787 compressor blade[J]. Journal of Aerospace Power, 2025, 40(6): 20240017. (in Chinese) doi: 10.13224/j.cnki.jasp.20240017
|
| [26] |
孙传文, 孙锐, 李伟. 增材制造及固溶时效处理Inconel 718疲劳性能与寿命预测[J]. 航空动力学报, 2025, 40(11): 20240570. SUN Chuanwen, SUN Rui, LI Wei. Fatigue properties and life prediction of additively manufactured and solution aged Inconel 718[J]. Journal of Aerospace Power, 2025, 40(11): 20240570. (in Chinese
SUN Chuanwen, SUN Rui, LI Wei. Fatigue properties and life prediction of additively manufactured and solution aged Inconel 718[J]. Journal of Aerospace Power, 2025, 40(11): 20240570. (in Chinese)
|
| [27] |
张小伟. 金属增材制造技术在航空发动机领域的应用[J]. 航空动力学报, 2016, 31(1): 10-16. ZHANG Xiaowei. Application of metal additive manufacturing in aero-engine[J]. Journal of Aerospace Power, 2016, 31(1): 10-16. (in Chinese doi: 10.3969/j.issn.1673-0992.2016.48.205
ZHANG Xiaowei. Application of metal additive manufacturing in aero-engine[J]. Journal of Aerospace Power, 2016, 31(1): 10-16. (in Chinese) doi: 10.3969/j.issn.1673-0992.2016.48.205
|
| [28] |
石多奇, 隋天校, 范永升, 等. 粘塑性本构模型材料参数识别的降维优化方法及其应用[J]. 推进技术, 2022, 43(12): 210447. SHI Duoqi, SUI Tianxiao, FAN Yongsheng, et al. Dimensionality reduction optimization method about material parameter identification of viscoplastic constitutive models and its application[J]. Journal of Propulsion Technology, 2022, 43(12): 210447. (in Chinese doi: 10.13675/j.cnki.tjjs.210447
SHI Duoqi, SUI Tianxiao, FAN Yongsheng, et al. Dimensionality reduction optimization method about material parameter identification of viscoplastic constitutive models and its application[J]. Journal of Propulsion Technology, 2022, 43(12): 210447. (in Chinese) doi: 10.13675/j.cnki.tjjs.210447
|
| [29] |
隋天校, 石多奇, 杨秦政, 等. 晶体塑性本构模型材料参数识别方法研究[J]. 推进技术, 2023, 44(3): 210593. SUI Tianxiao, SHI Duoqi, YANG Qinzheng, et al. Study on material parameter identification method of crystal plastic constitutive model[J]. Journal of Propulsion Technology, 2023, 44(3): 210593. (in Chinese doi: 10.13675/j.cnki.tjjs.210593
SUI Tianxiao, SHI Duoqi, YANG Qinzheng, et al. Study on material parameter identification method of crystal plastic constitutive model[J]. Journal of Propulsion Technology, 2023, 44(3): 210593. (in Chinese) doi: 10.13675/j.cnki.tjjs.210593
|
| [30] |
张雨曼, 石多奇, 隋天校, 等. 变载条件下镍基单晶合金蠕变本构建模方法[J]. 推进技术, 2022, 43(2): 210243. ZHANG Yuman, SHI Duoqi, SUI Tianxiao, et al. Creep constitutive modeling of nickel-base single crystal superalloy under varying loading[J]. Journal of Propulsion Technology, 2022, 43(2): 210243. (in Chinese doi: 10.13675/j.cnki.tjjs.210243
ZHANG Yuman, SHI Duoqi, SUI Tianxiao, et al. Creep constitutive modeling of nickel-base single crystal superalloy under varying loading[J]. Journal of Propulsion Technology, 2022, 43(2): 210243. (in Chinese) doi: 10.13675/j.cnki.tjjs.210243
|
| [31] |
GURSON A L. Continuum theory of ductile rupture by void nucleation and growth: part I: yield criteria and flow rules for porous ductile media[J]. Journal of Engineering Materials and Technology, 1977, 99(1): 2-15. doi: 10.2172/7351470
|
| [32] |
TVERGAARD V. Influence of voids on shear band instabilities under plane strain conditions[J]. International Journal of Fracture, 1981, 17(4): 389-407. doi: 10.1007/BF00036191
|
| [33] |
TVERGAARD V. On localization in ductile materials containing spherical voids[J]. International Journal of Fracture, 1982, 18(4): 237-252. doi: 10.1007/BF00015686
|
| [34] |
TVERGAARD V, NEEDLEMAN A. Analysis of the cup-cone fracture in a round tensile bar[J]. Acta Metallurgica, 1984, 32(1): 157-169. doi: 10.1016/0001-6160(84)90213-X
|
| [35] |
HILL R. A theory of the yielding and plastic flow of anisotropic metals[J]. Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences, 1948, 193(1033): 281-297. doi: 10.1098/rspa.1948.0045
|
| [36] |
ZIEGLER H. A modification of PRAGER’S hardening rule[J]. Quarterly of Applied Mathematics, 1959, 17(1): 55-65. doi: 10.1090/qam/104405
|
| [37] |
YIN Yue, QIN Wenjia, MA Tao, et al. A cyclic GTN model for ultra-low cycle fatigue analysis of structural steels[J]. International Journal of Fatigue, 2023, 177: 107946. doi: 10.1016/j.ijfatigue.2023.107946
|
| [38] |
GHORBANPOUR S, ALAM M E, FERRERI N C, et al. Experimental characterization and crystal plasticity modeling of anisotropy, tension-compression asymmetry, and texture evolution of additively manufactured Inconel 718 at room and elevated temperatures[J]. International Journal of Plasticity, 2020, 125: 63-79. doi: 10.1016/j.ijplas.2019.09.002
|
| [39] |
JIN Shengzhe, SUN Jingyu, YUAN Huang. Anisotropic cyclic plasticity modeling for additively manufactured nickel-based superalloys[J]. Fatigue and Fracture of Engineering Materials and Structures, 2022, 45(8): 2371-2387. doi: 10.1111/ffe.13752
|
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