Please wait a minute...
Chin. Phys. B, 2020, Vol. 29(7): 078103    DOI: 10.1088/1674-1056/ab8a38

Dependence of mechanical properties on the site occupancy of ternary alloying elements in γ'-Ni3Al: Ab initio description for shear and tensile deformation

Minru Wen(文敏儒)1, Xing Xie(谢兴)1, Huafeng Dong(董华锋)1, Fugen Wu(吴福根)2, Chong-Yu Wang(王崇愚)3
1 School of Physics and Optoelectronic Engineering, Guangdong University of Technology, Guangzhou 510006, China;
2 School of Materials and Energy, Guangdong University of Technology, Guangzhou 510006, China;
3 Department of Physics, Tsinghua University, Beijing 100084, China
Abstract  The site occupancy behavior of ternary alloying elements in γ'-Ni3Al (a key strengthening phase of commercial Ni-based single-crystal superalloys) can change with temperature and alloy composition owing to the effect of entropy. Using a total-energy method based on density functional theory, the dependence of tensile and shear behaviors on the site preference of alloying elements in γ'-Ni3Al were investigated in detail. Our results demonstrate that Fe, Ru, and Ir can significantly improve the ideal tensile and shear strength of the γ' phase when occupying the Al site, with Ru resulting in the strongest enhancement. In contrast, elements with fully filled d orbitals (i.e., Cu, Zn, Ag, and Cd) are expected to reduce the ideal tensile and shear strength. The calculated stress-strain relationships of Ni3Al alloys indicate that none of the alloying elements can simultaneously increase the ideal strength of the γ' phase for both Ni1-site and Ni2-site substitutions. In addition, the charge redistribution and the bond length of the alloying elements and host atoms during the tensile and shear processes are analyzed to unveil the underlying electronic mechanisms.
Keywords:  stress-strain relations      transition-metal elements      γ'-Ni3Al      first-principles calculations  
Received:  12 February 2020      Revised:  08 April 2020      Published:  05 July 2020
PACS:  81.40.Jj (Elasticity and anelasticity, stress-strain relations)  
  71.20.Be (Transition metals and alloys) (Applications of density-functional theory (e.g., to electronic structure and stability; defect formation; dielectric properties, susceptibilities; viscoelastic coefficients; Rydberg transition frequencies))  
  71.15.Mb (Density functional theory, local density approximation, gradient and other corrections)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11804057), the Natural Science Foundation of Guangdong Province, China (Grant No. 2017B030306003), and the National Key Research and Development Program of China (Grant No. 2017YFB0701500).
Corresponding Authors:  Huafeng Dong, Chong-Yu Wang     E-mail:;

Cite this article: 

Minru Wen(文敏儒), Xing Xie(谢兴), Huafeng Dong(董华锋), Fugen Wu(吴福根), Chong-Yu Wang(王崇愚) Dependence of mechanical properties on the site occupancy of ternary alloying elements in γ'-Ni3Al: Ab initio description for shear and tensile deformation 2020 Chin. Phys. B 29 078103

[1] Sims C T, Stoloff N S and Hagel W C 1987 Superalloys Ⅱ (New York: John Wiley & Sons)
[2] Reed R C 2006 The superalloys: fundamentals and applications (New York: Cambridge university Press)
[3] Loria E A 1989 Superalloy 718: metallurgy and applications (Warrendale, PA: TMS) p. 1989
[4] Karnthaler H, Mühlbacher E T and Rentenberger C 1996 Acta Materialia 44 547
[5] Pollock T M and Tin S 2006 J. Propulsion Power 22 361
[6] Reed R, Tao T and Warnken N 2009 Acta Mater. 57 5898
[7] Nathal M and Ebert L 1985 Metall. Trans. A 16 1863
[8] Fleischmann E, Miller M K, Affeldt E and Glatzel U 2015 Acta Mater. 87 350
[9] Yeh A C and Tin S 2005 Scr. Materialia 52 519
[10] Fahrmann M, Hermann W, Fahrmann E, Boegli A, Pollock T and Sockel H 1999 Mater. Sci. Eng. A 260 212
[11] Liu Z and Gao W 2001 Oxidation Metals 55 481
[12] Ruban A V and Skriver H L 1997 Phys. Rev. B 55 856
[13] Jiang C and Gleeson B 2006 Scr. Materialia 55 433
[14] Jiang C, Sordelet D and Gleeson B 2006 Acta Mater. 54 1147
[15] Rüsing J, Wanderka N, Czubayko U, Naundorf V, Mukherji D and Rösler J 2002 Scr. Mater. 46 235
[16] Mottura A, Warnken N, Miller M K, Finnis M W and Reed R C 2010 Acta Mater. 58 931
[17] Reed R C, Yeh A C, Tin S, Babu S S and Miller M K 2004 Scr. Materialia 51 327
[18] Zhou Y, Mao Z, Booth-Morrison C and Seidman D N 2008 Appl. Phys. Lett. 93 171905
[19] Amouyal Y, Mao Z, Booth-Morrison C and Seidman D N 2009 Appl. Phys. Lett. 94 041917
[20] Bagot P A J, Silk O B W, Douglas J O, Pedrazzini S, Crudden D J, Martin T L, Hardy M C, Moody M P and Reed R C 2017 Acta Mater. 125 156
[21] Lin H and Pope D P 1990 J. Mater. Res. 5 763
[22] Ochial S, Oya Y and Suzuki T 1984 Acta Metall. 32 289
[23] Wu Y P, Tso N C, Sanchez J M and Tien J K 1989 Acta Metall. 37 2835
[24] Sluiter M H F and Kawazoe Y 1995 Phys. Rev. B 51 4062
[25] Ruban A V and Skriver H L 1996 Solid State Commun. 99 813
[26] Kim D E, Shang S L and Liu Z K 2010 Intermetallics 18 1163
[27] Wu Q and Li S 2012 Comput. Mater. Sci. 53 436
[28] Ruban A V, Popov V A, Portnoi V K and Bogdanov V I 2014 Philos. Mag. 94 20
[29] Wen M and Wang C Y 2018 Phys. Rev. B 97 024101
[30] Liu S, Li Z and Wang C 2017 Chin. Phys. B 26 093102
[31] Lu B, Wang C Y and Du Z 2018 Chin. Phys. B 27 097102
[32] Wang Y J and Wang C Y 2009 Scr. Mater. 61 197
[33] Wen M and Wang C Y 2016 RSC Adv. 6 77489
[34] Wu X and Wang C 2016 RSC Adv. 6 20551
[35] Chen Y, He S, Yi Z and Peng P 2019 J. Phys. Chem. Solids 131 34
[36] Chen Y, He S, Yi Z and Peng P 2018 Comput. Mater. Sci. 152 408
[37] Heckl A, Neumeier S, Göken M and Singer R 2011 Mater. Sci. Eng. A 528 3435
[38] Tan X, Liu J, Jin T, Hu Z, Hong H, Choi B, Kim I, Jo C and Mangelinck D 2013 Mater. Sci. Eng. A 580 21
[39] Han Y F, Ma W Y, Dong Z Q, Li S S and Gong S K 2008 Superalloys. Pennsylvania PA: TMS 91
[40] Wang C Y, Liu S Y and Han L G 1990 Phys. Rev. B 41 1359
[41] Wagner C and Schottky W 1930 Z. Phys. Chem. B 11 163
[42] Roundy D, Krenn C R, Cohen M L and Morris J W Jr 1999 Phys. Rev. Lett. 82 2713
[43] Roundy D, Krenn C R, Cohen M L and Morris J W Jr 2001 Philos. Mag. A 81 1725
[44] Wen M, Xie X, Gao Y, Dong H, Mu Z, Wu F and Wang C Y 2019 J. Alloys Compd. 806 1260
[45] Clatterbuck D M, Krenn C R, Cohen M L and Morris J W Jr 2003 Phys. Rev. Lett. 91 135501
[46] Dubois S M M, Rignanese G M, Pardoen T and Charlier J C 2006 Phys. Rev. B 74 235203
[47] Řehák P, Černý M and Šob M 2015 Modell. Simul. Mater. Sci. Eng. 23 055010
[48] Wen M and Wang C Y 2017 Chin. Phys. B 26 093106
[49] Kresse G and Furthmüller J 1996 Phys. Rev. B 54 11169
[50] Kresse G and Joubert D 1999 Phys. Rev. B 59 1758
[51] Perdew J P, Burke K and Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
[52] Monkhorst H J and Pack J D 1976 Phys. Rev. B 13 5188
[53] Kelly A and Macmillan N 1986 Strong Solids (Oxford: Clarendon)
[54] Clatterbuck D M, Chrzan D C and Morris J W 2003 Acta Mater. 51 2271
[55] Jokl M, Vitek V and McMahon C Jr 1980 Acta Metall. 28 1479
[56] Krenn C R, Roundy D, Morris J W and Cohen M L 2001 Mater. Sci. Eng. A 319 111
[57] Chrzan D C, Sherburne M P, Hanlumyuang Y, Li T and Morris J W Jr 2010 Phys. Rev. B 82 184202
[58] Sawyer C A, Morris J W Jr and Chrzan D C 2013 Phys. Rev. B 87 134106
[59] Joos B and Duesbery M 1997 Phys. Rev. Lett. 78 266
[60] Tian S, Wu J, Shu D, Su Y, Yu H and Qian B 2014 Mater. Sci. Eng. A 616 260
[61] Pokluda J, Černý M, Šob M and Umeno Y 2015 Prog. Mater. Sci. 73 127
[1] A first-principles study on zigzag phosphorene nanoribbons terminated by transition metal atoms
Shuai Yang(杨帅), Zhiyong Wang(王志勇), Xueqiong Dai(戴学琼), Jianrong Xiao(肖剑荣), and Mengqiu Long(龙孟秋). Chin. Phys. B, 2021, 30(2): 027305.
[2] Structure prediction, electronic, and mechanical properties of alkali metal MB12 ( M= Be, Mg, Ca, Sr) from first principles
Chun-Ying Pu(濮春英), Rong-Mei Yu(于荣梅), Ting Wang(王婷), Zhen-Yan X\"ue(薛振彦), Yong-Sheng Zhu(朱永胜), and Da-Wei Zhou(周大伟). Chin. Phys. B, 2021, 30(1): 017102.
[3] Novel structures and mechanical properties of Zr2N: Ab initio description under high pressures
Minru Wen(文敏儒), Xing Xie(谢兴), Zhixun Xie(谢植勋), Huafeng Dong(董华锋), Xin Zhang(张欣), Fugen Wu(吴福根), and Chong-Yu Wang(王崇愚). Chin. Phys. B, 2021, 30(1): 016403.
[4] Effects of Re, Ta, and W in [110] (001) dislocation core of γ/γ' interface to Ni-based superalloys: First-principles study
Chuanxi Zhu(朱传喜), Tao Yu(于涛). Chin. Phys. B, 2020, 29(9): 096101.
[5] Degenerate antiferromagnetic states in spinel oxide LiV2O4
Ben-Chao Gong(龚本超), Huan-Cheng Yang(杨焕成), Kui Jin(金魁), Kai Liu(刘凯), Zhong-Yi Lu(卢仲毅). Chin. Phys. B, 2020, 29(7): 077508.
[6] Structural, mechanical, and electronic properties of Zr-Te compounds from first-principles calculations
Peng Wang(王鹏), Ning-Chao Zhang(张宁超), Cheng-Lu Jiang(蒋城露), Fu-Sheng Liu(刘福生), Zheng-Tang Liu(刘正堂), Qi-Jun Liu(刘其军). Chin. Phys. B, 2020, 29(7): 076201.
[7] Tunable electronic structures of germanane/antimonene van der Waals heterostructures using an external electric field and normal strain
Xing-Yi Tan(谭兴毅), Li-Li Liu(刘利利), Da-Hua Ren(任达华). Chin. Phys. B, 2020, 29(7): 076102.
[8] First-principles calculations of solute-vacancy interactions in aluminum
Sha-Sha Zhang(张莎莎), Zheng-Jun Yao(姚正军), Xiang-Shan Kong(孔祥山), Liang Chen(陈良), Jing-Yu Qin(秦敬玉). Chin. Phys. B, 2020, 29(6): 066103.
[9] Prediction of structured void-containing 1T-PtTe2 monolayer with potential catalytic activity for hydrogen evolution reaction
Bao Lei(雷宝), Yu-Yang Zhang(张余洋), Shi-Xuan Du(杜世萱). Chin. Phys. B, 2020, 29(5): 058104.
[10] Re effects in model Ni-based superalloys investigated with first-principles calculations and atom probe tomography
Dianwu Wang(王殿武), Chongyu Wang(王崇愚), Tao Yu(于涛), Wenqing Liu(刘文庆). Chin. Phys. B, 2020, 29(4): 043103.
[11] Designing solar-cell absorber materials through computational high-throughput screening
Xiaowei Jiang(江小蔚), Wan-Jian Yin(尹万健). Chin. Phys. B, 2020, 29(2): 028803.
[12] Electronic and optical properties of GaN-MoS2 heterostructure from first-principles calculations
Dahua Ren(任达华), Xingyi Tan(谭兴毅), Teng Zhang(张腾), Yuan Zhang(张源). Chin. Phys. B, 2019, 28(8): 086104.
[13] Band engineering of B2H2 nanoribbons
Bao Lei(雷宝), Yu-Yang Zhang(张余洋), Shi-Xuan Du(杜世萱). Chin. Phys. B, 2019, 28(4): 046803.
[14] Hydrogenated antimonene as quantum spin Hall insulator: A first-principles study
Xin He(贺欣), Ji-Biao Li(李佶彪). Chin. Phys. B, 2019, 28(3): 037301.
[15] Electronic properties of size-dependent MoTe2/WTe2 heterostructure
Jing Liu(刘婧), Ya-Qiang Ma(马亚强), Ya-Wei Dai(戴雅薇), Yang Chen(陈炀), Yi Li(李依), Ya-Nan Tang(唐亚楠), Xian-Qi Dai(戴宪起). Chin. Phys. B, 2019, 28(10): 107101.
No Suggested Reading articles found!