| METALS AND METAL MATRIX COMPOSITES |
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| Computational Analysis of Relaxation Parameter Impacts on Stacking Fault Energy in Magnesium Alloys |
| TIAN Lianjuan1, HU Jing1, HE Liang1, TANG Aitao1,2,*, SHE Jia1,2,*
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1 School of Materials Science and Engineering, Chongqing University, Chongqing 400045, China 2 National Engineering Research Center for Magnesium Alloys, Chongqing University, Chongqing 400044, China |
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Abstract The accuracy of stacking fault energy (SFE) calculations d plays a pivotal role in reliably predicting key material properties, including deformation mechanisms, mechanical performance, and phase stability. However, the precision of SFE calculations is significantly influenced by the selection of relaxation parameters, for which systematic theoretical guidance remains lacking. To address this knowledge gap, we conducted a comprehensive first-principles study based on density functional theory (DFT) to systematically evaluate the effects of nine distinct relaxation schemes (3-f, 3-z, 3-yz, 3-67, 3-5678, 2-z, 2-yz, 2-67, 2-5678) on the generalized stacking fault energy (GSFE) of hexagonal close-packed (HCP) magnesium. Furthermore, the calculated GSFE values were incorporated into the Peierls-Nabarro (P-N) model to determine the critical resolved shear stress (CRSS), with the results being rigorously validated against experimental data. Our findings reveal several key insights. The relaxation of atoms in the y-direction is crucial for accurately calculating the generalized stacking fault energy (GSFE) of basal and pyramidal slip systems: The GSFE curves for the (0001) 〈1120〉 and (1122) 〈1123〉 slip systems change from a single γusf to double γusf and single γisf, while the stacking fault energy of the (1011) 〈1120〉 slip system decreases, and the (1010) 〈1120〉 slip system remains unaffected. Moreover, whether the lattice is relaxed or not shows differences in the impact on stacking fault energy calculations. Intermediate atomic relaxation (67/5678) can accurately determine the γisf/γusf positions for each slip system, and the γusf value decreases as the degrees of freedom for relaxation increase. The γisf(position and value) of the (1122) 〈1123〉 slip system remains essentially unchanged. The influence of atomic relaxation along the z-direction or yz-direction on stacking fault energy is negligible. Among various relaxation methods, fixing the lattice and relaxing 67 layers of atoms (2-67) yields critical resolved shear stress (CRSS) calculations that best match experimental data. This study provides theoretical support and practical guidance for parameter selection in materials simulations, and also lays the foundation for further clarifying dislocation behavior and plastic deformation mechanisms.
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Published: 25 April 2026
Online: 2026-05-06
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1 Vitek V. Philosophical Magazine, 1968, 18(154), 773. 2 Yoo M H. Metallurgical Transactions A, 1981, 12, 409. 3 Verma R, Hector L G, Krajewski P E, et al. JOM, 2009, 61, 29. 4 Muzyk M, Pakiela Z, Kurzydlowski K J, et al. Scripta Materialia, 2012, 66(5), 219. 5 Dou Y C, Zhang J. Computational Materials Science, 2015, 98, 405. 6 Ding Z, Liu W, Sun H, et al. Acta Materialia, 2017, 146, 265. 7 Dou Y C. Fundamental research on strengthening and toughening of Mg alloys based on first-principles and molecular dynamics. Ph. D. Thesis, Chongqing University, China, 2015 (in Chinese). 豆雨辰. 基于第一性原理和分子动力学的镁合金强韧化基础研究. 博士学位论文, 重庆大学, 2015. 8 Zhang J, Dou Y C, Dong H B. Scripta Materialia, 2014, 89, 13. 9 Wang C, Zhang H Y, Wang H Y, et al. Scripta Materialia, 2013, 69(6), 445. 10 Muzyk M, Pakiela Z, Kurzydlowski K J, et al. Scripta Materialia, 2012, 66(5), 219. 11 Yin B, Wu Z, Curtin W, et al. Acta Materialia, 2017, 123, 223. 12 Wang C. Influence and mechanism of alloying elements on stacking fault energy and twin segregation energy in Mg. Master's Thesis, Jilin University, China, 2015 (in Chinese). 王珵. 合金元素对镁层错能和孪晶偏析能的影响规律及作用机制. 硕士学位论文, 吉林大学, 2015. 13 Li J, Huang Y, Wang F, et al. Materials Science & Engineering A, 2020, 773, 138877. 14 Sivashanmugam N, Harikrishna K L. Materials Science Forum, 2020, 979, 162. 15 Zhang J, Dou Y C, Liu G B, et al. Computational Materials Science, 2013, 79, 564. 16 Kumar A, Morrow B M, McCabe R J, et al. Materials Science and Engineering A, 2017, 695, 270. 17 Kresse G, Hafner J. Physical Review B, 1993, 48(17), 13115. 18 Kresse G, Furthmüller J. Physical Review B, 1996, 54, 11169. 19 Perdew J P, Burke K, Ernzerhof M, et al. Physical Review Letters, 1996, 77(18), 3865. 20 Ashcroft N W, Mermin N D, Rodriguez S, et al. American Journal of Physics, 1978, 46(1), 116. 21 Chou M Y. Physical Review B, 1985, 32(12), 7979. 22 Wang C, Wang H Y, Zhang H Y, et al. Journal of Alloys and Compounds, 2013, 575, 423. 23 Yasi J A, Nogaret T, Trinkle D R, et al. Modelling & Simulation in Materials Science & Engineering, 2009, 17(5), 055012. 24 Datta A, Waghmare U V, Ramamurty U, et al. Acta Materialia, 2008, 56(11), 2531. 25 Agnew S R, Horton J A, Yoo M H, et al. Metallurgical and Materials Transactions A, 2002, 33(3), 851. 26 Bacon D J, Liang M H. Philosophical Magazine A, 1986, 53(2), 163. 27 Minonishi Y, Ishioka S, Koiwa M, et al. Philosophical Magazine A, 1982, 45(5), 835. 28 Pei Z, Zhu L F, Friák M, et al. New Journal of Physics, 2013, 15(4), 043020. 29 Ak A, Bmm B, Mc B, et al. Materials Science and Engineering A, 2017, 695, 270. 30 Peierls R, et al. Proceedings of the Physical Society, 1940, 52(1), 34. 31 Carrez P, Cordier P, et al. European Journal of Mineralogy, 2006, 18(2), 149. 32 Garg P, Bhatia M A, Solanki K N, et al. Journal of Alloys and Compounds, 2019, 788, 413. 33 Tonda H, Ando S. Metallurgical and Materials Transactions A, 2002, 33(3), 831. 34 Akhtar A, Teghtsoonian E. Acta Metallurgica, 1969, 17(11), 1339. 35 Reed-Hill R E, Robertson W D. Acta Metallurgica, 1957, 5(12), 717. 36 Liu T T, Pan F S. The Chinese Journal of Nonferrous Metals, 2019, 29(9), 14 (in Chinese). 刘婷婷, 潘复生. 中国有色金属学报, 2019, 29(9), 14. 37 Feng Z X, Zhao S, Shi Q N, et al. Rare Metal Materials and Engineering, 2022, 51(1), 134 (in Chinese). 冯中学, 赵珊, 史庆南, 等. 稀有金属材料与工程, 2022, 51(1), 134. 38 Zeng Y. Study on the effect of alloying elements on critical resolved shear stress and mechanical behavior of Mg alloys. Ph. D. Thesis, Chongqing University, China, 2015 (in Chinese). 曾迎. 合金元素对镁合金临界剪切应力与力学行为影响的研究. 博士学位论文, 重庆大学, 2015. 39 Yasi J A, Nogaret T, Trinkle D R, et al. Modelling & Simulation in Materials Science & Engineering, 2009, 17(5), 055012. |
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