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Investigation of the structural, electronic and mechanical properties of Ca-SiO2 compound particles in steel based on density functional theory

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Abstract

Ca-SiO2 compounds compromise one of the most common series of oxide particles in liquid steels, which could significantly affect the service performance of the steels as crack initiation sites. However, the structural, electronic, and mechanical properties of the compounds in Ca-SiO2 system are still not fully clarified due to the difficulties in the experiments. In this study, a thorough investigation of these properties of Ca-SiO2 compound particles in steels was conducted based on first-principles density functional theory. Corresponding phases were determined by thermodynamic calculation, including gamma dicalcium silicate (γ-C2S), alpha-prime (L) dicalcium silicate (α′L-C2S), alpha-prime (H) dicalcium silicate (α′L-C2S), alpha dicalcium silicate (α-C2S), rankinite (C3S2), hatrurite (C3S), wollastonite (CS), and pseudowollastonite (Ps-CS). The results showed that the calculated crystal structures of the eight phases agree well with the experimental results. All the eight phases are stable according to the calculated formation energies, and γ-C2S is the most stable. O atom contributes the most to the reactivity of these phases. The Young’s modulus of the eight phases is in the range of 100.63–132.04 GPa. Poisson’s ratio is in the range of 0.249–0.281. This study provided further understanding concerning the Ca-SiO2 compound particles in steels and fulfilled the corresponding property database, paving the way for inclusion engineering and design in terms of fracture-resistant steels.

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References

  1. L. Wang, B. Song, Z.B. Yang, et al., Effects of Mg and La on the evolution of inclusions and microstructure in Ca-Ti treated steel, Int. J. Miner. Metall. Mater., 28(2021), No. 12, p. 1940.

    Article  CAS  Google Scholar 

  2. H. Feng, P.C. Lu, H.B. Li, and Z.H. Jiang, Effect of Mg pretreatment and Ce addition on cleanliness and inclusion evolution in high-nitrogen stainless bearing steels, Metall. Mater. Trans. B, 53(2022), No. 2, p. 864.

    Article  CAS  Google Scholar 

  3. J.J. Wang, L.F. Zhang, G. Cheng, Q. Ren, and Y. Ren, Dynamic mass variation and multiphase interaction among steel, slag, lining refractory and nonmetallic inclusions: Laboratory experiments and mathematical prediction, Int. J. Miner. Metall. Mater., 28(2021), No. 8, p. 1298.

    Article  Google Scholar 

  4. Q. Zhao, X.H. Mei, L. Gao, et al., Fundamental research on fluorine-free ladle furnace slag for axle steel of electric multiple unit vehicles, Metals, 11(2021), No. 12, art. No. 1973.

    Google Scholar 

  5. C.S. Liu, Y. Kacar, B. Webler, and P.C. Pistorius, Chemical composition modification of inclusions in steels by controlled Ca treatment, Metall. Mater. Trans. B, 52(2021), No. 5, p. 2837.

    Article  CAS  Google Scholar 

  6. W. Liu, S.F. Yang, J.S. Li, F. Wang, and H.B. Yang, Numerical model of inclusion separation from liquid metal with consideration of dissolution in slag, J. Iron Steel Res. Int., 26(2019), No. 11, p. 1147.

    Article  CAS  Google Scholar 

  7. W.S. Wang, H.Y. Zhu, M.M. Song, J.L. Li, and Z.L. Xue, Effect of ferromanganese additions on non-metallic inclusion characteristics in TRIP steel, J. Iron Steel Res. Int., 29(2022), No. 9, p. 1464.

    Article  CAS  Google Scholar 

  8. M. Ashizuka, Y. Aimoto, and T. Okuno, Mechanical properties of sintered silicate crystals (Part 1), J. Ceram. Soc. Jpn, 97(1989), No. 1125, p. 544.

    Article  CAS  Google Scholar 

  9. Q.X. Jiang, V.M. Bertolo, V.A. Popovich, J. Sietsma, and C.L. Walters, Relating matrix stress to local stress on a hard micro-structural inclusion for understanding cleavage fracture in high strength steel, Int. J. Fract., 232(2021), No. 1, p. 1.

    Article  Google Scholar 

  10. W. Xiao, Y.P. Bao, C. Gu, et al., Ultrahigh cycle fatigue fracture mechanism of high-quality bearing steel obtained through different deoxidation methods, Int. J. Miner. Metall. Mater., 28(2021), No. 5, p. 804.

    Article  Google Scholar 

  11. D. Spriestersbach, P. Grad, and E. Kerscher, Influence of different non-metallic inclusion types on the crack initiation in high-strength steels in the VHCF regime, Int. J. Fatigue, 64(2014), p. 114.

    Article  CAS  Google Scholar 

  12. S.A. Ayoub and J.B. Lagowski, Optimizing the performance of the bulk heterojunction organic solar cells based on DFT simulations of their interfacial properties, Mater. Des., 156(2018), p. 558.

    Article  CAS  Google Scholar 

  13. X.G. Gong, W.W. Xu, C. Cui, et al., Exploring alloying effect on phase stability and mechanical properties of γ″-Ni3Nb precipitates with first-principles calculations, Mater. Des., 196(2020), art. No. 109174.

  14. J. Hui, X.Y. Zhang, T. Liu, W.G. Liu, and B. Wang, First-principles calculation of twin boundary energy and strength/embrittlement in hexagonal close-packed titanium, Mater. Des., 213(2022), art. No. 110331.

  15. B. Zhang, J.S. Xiao, S.Q. Jiao, and H.M. Zhu, Thermodynamic and thermoelectric properties of titanium oxycarbide with metal vacancy, Int. J. Miner. Metall. Mater., 29(2022), No. 4, p. 787.

    Article  CAS  Google Scholar 

  16. M.I. Khan, H. Arshad, M. Rizwan, et al., Investigation of structural, electronic, magnetic and mechanical properties of a new series of equiatomic quaternary Heusler alloys CoYCrZ (Z = Si, Ge, Ga, Al): A DFT study, J. Alloys Compd., 819(2020), art. No. 152964.

  17. A.J. Cinthia, G.S. Priyanga, R. Rajeswarapalanichamy, and K. Iyakutti, Structural, electronic and mechanical properties of alkaline earth metal oxides MO (M = Be, Mg, Ca, Sr, Ba), J. Phys. Chem. Solids, 79(2015), p. 23.

    Article  CAS  Google Scholar 

  18. S.A. Dar, V. Srivastava, U.K. Sakalle, and G. Pagare, Insight into structural, electronic, magnetic, mechanical, and thermodynamic properties of actinide perovskite BaPuO3, J. Supercond. Nov. Magn., 31(2018), No. 10, p. 3201.

    Article  CAS  Google Scholar 

  19. X.J. Liu, J.C. Yang, F. Zhang, X.Y. Fu, H.W. Li, and C.Q. Yang, Experimental and DFT study on cerium inclusions in clean steels, J. Rare Earths, 39(2021), No. 4, p. 477.

    Article  CAS  Google Scholar 

  20. S.J. Edrees, M.M. Shukur, and M.M. Obeid, First-principle analysis of the structural, mechanical, optical and electronic properties of wollastonite monoclinic polymorph, Comput. Condens. Matter, 14(2018), p. 20.

    Article  Google Scholar 

  21. P. Rejmak, J.S. Dolado, M.A.G. Aranda, and A. Ayuela, First-principles calculations on polymorphs of dicalcium silicate-Belite, a main component of Portland cement, J. Phys. Chem. C, 123(2019), No. 11, p. 6768.

    Article  CAS  Google Scholar 

  22. C.W. Bale, P. Chartrand, S.A. Degterov, et al., FactSage thermochemical software and databases, Calphad, 26(2002), No. 2, p. 189.

    Article  CAS  Google Scholar 

  23. C. Remy, D. Andrault, and M. Madon, High-temperature, high-pressure X-ray investigation of dicalcium silicate, J. Am. Ceram. Soc., 80(1997), No. 4, p. 851.

    Article  CAS  Google Scholar 

  24. K. Sasaki, H. Ishida, Y. Okada, and T. Mitsuda, Highly reactive β-dicalcium silicate: V, influence of specific surface area on hydration, J. Am. Ceram. Soc., 76(1993), No. 4, p. 870.

    Article  Google Scholar 

  25. H. Toraya and S. Yamazaki, Simulated annealing structure solution of a new phase of dicalcium silicate Ca2SiO4 and the mechanism of structural changes from α-dicalcium silicate hydrate to γ′L-dicalcium silicate via the new phase, Acta Crystallogr. Sect. B, 58(2002), No. 4, p. 613.

    Article  CAS  Google Scholar 

  26. W.M. Kriven, Possible alternative transformation tougheners to zirconia: Crystallographic aspects, J. Am. Ceram. Soc., 71(1988), No. 12, p. 1021.

    Article  CAS  Google Scholar 

  27. Y.V. Seryotkin, E.V. Sokol, and S.N. Kokh, Natural pseudowollastonite: Crystal structure, associated minerals, and geological context, Lithos, 134–135(2012), p. 75.

    Article  Google Scholar 

  28. T. Gasparik, K. Wolf, and C.M. Smith, Experimental determination of phase relations in the CaSiO3 system from 8 to 15 GPa, Am. Mineral., 79(1994), p. 1219.

    CAS  Google Scholar 

  29. S. Milani, D. Comboni, P. Lotti, et al., Crystal structure evolution of CaSiO3 polymorphs at earth’s mantle pressures, Minerals, 11(2021), No. 6, art. No. 652.

    Google Scholar 

  30. A.E. Zadov, V.M. Gazeev, N.N. Pertsev, et al., Discovery and investigation of a natural analog of calcio-olivine (γ-Ca2SiO4), Dokl. Earth Sci., 423(2008), No. 2, p. 1431.

    Article  Google Scholar 

  31. M.D. Segall, P.J.D. Lindan, M.J. Probert, et al., First-principles simulation: Ideas, illustrations and the CASTEP code, J. Phys. Condens. Matter, 14(2002), No. 11, p. 2717.

    Article  CAS  Google Scholar 

  32. J.P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett., 77(1996), No. 18, p. 3865.

    Article  CAS  Google Scholar 

  33. C.C. Qi, D. Spagnoli, and A. Fourie, Structural, electronic, and mechanical properties of calcium alumínate cements: Insight from first-principles theory, Constr. Build. Mater., 264(2020), art. No. 120259.

  34. Y.Y. Zhang, X. Liu, Z.H. Xiong, and Z.G. Zhang, Compressional behavior of MgCr2O4 spinel from first-principles simulation, Sci. China Earth Sci., 59(2016), No. 5, p. 989.

    Article  CAS  Google Scholar 

  35. S.K. Saravana Karthikeyan, P. Santhoshkumar, Y.C. Joe, et al., Understanding of the elastic constants, energetics, and bonding in dicalcium silicate using first-principles calculations, J. Phys. Chem. C, 122(2018), No. 42, p. 24235.

    Article  CAS  Google Scholar 

  36. W. Eysel and T. Hahn, Polymorphism and solid solution of Ca2GeO4 and Ca2SiO4, Z. Krist. Cryst. Mater., 131(1970), No. 1–6, p. 322.

    CAS  Google Scholar 

  37. M.Y. Chen, Z.G. Xia, M.S. Molokeev, and Q.L. Liu, Structural phase transformation and luminescent properties of Ca(2−x)SrxSiO4: Ce3+ orthosilicate phosphors, Inorg. Chem., 54(2015), No. 23, p. 11369.

    Article  CAS  Google Scholar 

  38. A.M. Ll’Inets, Y.A. Malinovskii, and N.N. Nevskii, Crystal structure of the rhombohedral modification of tricalcium silicate Ca3SiO5, Sov. Phys. Dokl., 20(1985), p. 191.

    Google Scholar 

  39. I. Kusachi, C. Henmi, A. Kawahara, and K. Henmi, The structure of rankinite, Mineral. J., 8(1975), No. 1, p. 38.

    Article  CAS  Google Scholar 

  40. H. Manzano, J.S. Dolado, and A. Ayuela, Structural, mechanical, and reactivity properties of tricalcium aluminate using first-principles calculations, J. Am. Ceram. Soc., 92(2009), No. 4, p. 897.

    Article  CAS  Google Scholar 

  41. X. Gao, W.T. Zhang, X.M. Wang, X. Huang, and Z. Zhao, Charge compensation effects of alkali metal ions M+ (Li+, Na+, K+) on luminescence enhancement in red-emitting Ca3Si2O7: Eu3+ phosphors, J. Alloys Compd., 893(2022), art. No. 162265.

  42. I. Razumovskii, B. Bokstein, A. Logacheva, I. Logachev, and M. Razumovsky, Cohesive strength and structural stability of the Ni-based superalloys, Materials, 15(2021), No. 1, art. No. 200.

    Google Scholar 

  43. Y. Kitagawa, J. Ueda, K. Fujii, et al., Site-selective Eu3+ luminescence in the monoclinic phase of YSiO2N, Chem. Mater., 33(2021), No. 22, p. 8873.

    Article  CAS  Google Scholar 

  44. I. Petousis, D. Mrdjenovich, E. Ballouz, et al., High-throughput screening of inorganic compounds for the discovery of novel dielectric and optical materials, Sci. Data, 4(2017), art. No. 160134.

  45. Y. Tao, Y.D. Mu, W.Q. Zhang, and F.Z. Wang, Screening out reactivity-promoting candidates for γ-Ca2SiO4 carbonation by first-principles calculations, Front. Mater., 7(2020), art. No. 299.

  46. F. Mouhat and F.X. Coudert, Necessary and sufficient elastic stability conditions in various crystal systems, Phys. Rev. B, 90(2014), No. 22, art. No. 224104.

    Google Scholar 

  47. S. Chandrasekar and S. Santhanam, A calculation of the bulk modulus of polycrystalline materials, J. Mater. Sci., 24(1989), No. 12, p. 4265.

    Article  CAS  Google Scholar 

  48. Z.M. Sun, S. Li, R. Ahuja, and J.M. Schneider, Calculated elastic properties of M2AlC (M = Ti, V, Cr, Nb, and Ta), Solid State Commun., 129(2004), No. 9, p. 589.

    Article  CAS  Google Scholar 

  49. N.I. Demidenko and A.P. Stetsovskii, Correlation between elastic properties of wollastonite-based materials and sintering temperature, Glass Ceram., 60(2003), No. 7, p. 217.

    Article  CAS  Google Scholar 

  50. K. Velez, S. Maximilien, D. Damidot, G. Fantozzi, and F. Sorrentino, Determination by nanoindentation of elastic modulus and hardness of pure constituents of Portland cement clinker, Cem. Concr. Res., 31(2001), No. 4, p. 555.

    Article  CAS  Google Scholar 

  51. S. Abraham, R. Bodnar, J. Raines, and Y.F. Wang, Inclusion engineering and metallurgy of calcium treatment, J. Iron Steel Res. Int., 25(2018), No. 2, p. 133.

    Article  Google Scholar 

  52. L. Holappa and O. Wijk, Inclusion engineering, [in] S. Seeth-araman, ed., Treatise on Process Metallurgy, Elsevier, Amsterdam, 2014, p. 347.

    Chapter  Google Scholar 

  53. A. Costa e Silva, Thermodynamic aspects of inclusion engineering in steels, Rare Met., 25(2006), No. 5, p. 412.

    Article  CAS  Google Scholar 

  54. U. Karr, Y. Sandaiji, R. Tanegashima, et al., Inclusion initiated fracture in spring steel under axial and torsion very high cycle fatigue loading at different load ratios, Int. J. Fatigue, 134(2020), art. No. 105525.

  55. D.P. Fairchild, D.G. Howden, and W.T. Clark, The mechanism of brittle fracture in a microalloyed steel: Part I. Inclusion-induced cleavage, Metall. Mater. Trans. A, 31(2000), No. 3, p. 641.

    Article  Google Scholar 

  56. C. Gu, W.Q. Liu, J.H. Lian, and Y.P. Bao, In-depth analysis of the fatigue mechanism induced by inclusions for high-strength bearing steels, Int. J. Miner. Metall. Mater., 28(2021), No. 5, p. 826.

    Article  Google Scholar 

  57. C. Przybyla, R. Prasannavenkatesan, N. Salajegheh, and D.L. McDowell, Microstructure-sensitive modeling of high cycle fatigue, Int. J. Fatigue, 32(2010), No. 3, p. 512.

    Article  CAS  Google Scholar 

  58. C. Gu, J.H. Lian, Y.P. Bao, and S. Münstermann, Microstructure-based fatigue modelling with residual stresses: Prediction of the microcrack initiation around inclusions, Mater. Sci. Eng. A, 751(2019), p. 133.

    Article  CAS  Google Scholar 

  59. C. Gu, J.H. Lian, Y.P. Bao, Q.G. Xie, and S. Münstermann, Microstructure-based fatigue modelling with residual stresses: Prediction of the fatigue life for various inclusion sizes, Int. J. Fatigue, 129(2019), art. No. 105158.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 52174297), Fundamental Research Funds for the Central Universities (No. FRF-TP-20-026A1), and the special grade of China Postdoctoral Science Foundation (No. 2021T140050). The computing work is supported by USTB MatCom of Beijing Advanced Innovation Center for Materials Genome Engineering.

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Correspondence to Chao Gu or Yanping Bao.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Gu, C., Lyu, Z., Hu, Q. et al. Investigation of the structural, electronic and mechanical properties of Ca-SiO2 compound particles in steel based on density functional theory. Int J Miner Metall Mater 30, 744–755 (2023). https://doi.org/10.1007/s12613-022-2588-z

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