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Elasticity of Ni x W1−x (x ≤ 0.1875) Alloys from First Principles Calculations

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Abstract

The elastic properties of Ni x W1−x alloys up to x = 0.1875 have been determined from first principles calculations. We have used stress–strain relationships to calculate the C ij elastic coefficients and the Voigt–Reuss–Hill approximations to determine the bulk and shear moduli of polycrystals. The W alloying increases the compression modulus while the shear modulus remains almost constant. Furthermore, the W alloying has a minor effect on the elastic anisotropy and, therefore, on its contribution to the indentation modulus.

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References

  1. W Ehrfeld, V Hessel, H Löwe, C Schulz, and L Weber: Microsystem Techno., 1999, vol. 5, pp. 105–12.

    Article  Google Scholar 

  2. N Tsyntsaru, H Cesiulis, M Donten, J Sort, E Pellicer, and E J Podlaha-Murphy: Surf. Eng. App. Electrochem., 2012, vol. 48, pp. 491–520.

    Article  Google Scholar 

  3. E Slavcheva, W Mokwa, and U Schnakenberg: Electrochimica Acta, 2005, vol. 50, pp. 5573–80.

    Article  Google Scholar 

  4. A Kawashima, E Akiyama, H Habazaki, and K Hashimoto: Mater. Sci. Eng. A, 1997, vol. 226-228, pp. 905–09.

    Article  Google Scholar 

  5. N Atanassov, K Gencheva, and M Bratoeva: Plating Surf. Finishing, 1997, vol. 84, pp. 67–71.

    Google Scholar 

  6. E Navarro-Flores, Z Chong, and S Omanovic: J. Mol. Catalysis A: Chem., 2005, vol. 226, pp. 179–97.

    Article  Google Scholar 

  7. A Damian and S Omanovic: J. Power Sources, 2006, vol. 158, pp. 464–76.

    Article  Google Scholar 

  8. C A Schuh, T G Nieh, and H Iwasaki: Acta Mater., 2003, vol. 51, pp. 431–43.

    Article  Google Scholar 

  9. A Godon, J Creus, S Cohendoz, E Conforto, X Feaugas, P Girault, and C Savall: Scripta Mater, 2010, vol. 62, pp. 403–06.

    Article  Google Scholar 

  10. N Shakibi Nia, C Savall, J Creus, J Bourgon, P Girault, A Metsue, S Cohendoz, and X Feaugas: Mater. Sci. Eng. A, 2016, vol. 678, pp. 204–14.

    Article  Google Scholar 

  11. L Zhu, O Younes, N Ashkenasy, Y Shacham-Diamand, and E Gileadi: App. Surf. Sci., 2002, vol. 200, pp. 1–14.

    Article  Google Scholar 

  12. H Wang, S Yao, and S Matsumura: Surf. Coat. Technol., 2002, vol. 157, pp. 166–70.

    Article  Google Scholar 

  13. A S M A Haseeb, U Albers, and K Bade: Wear, 2008, vol. 264, pp. 106–12.

    Article  Google Scholar 

  14. N Sunwang, P Wangyao, and Y Boonyongmaneerat: Surf. Coat. Technol., 2011, vol. 206, pp. 1096–1101.

    Article  Google Scholar 

  15. K Chen, L Zhao, P C Patnaik, and J S Tse: Superalloys 2004, 2004, pp. 753–58.

    Google Scholar 

  16. N Schindzielorz, K Nowak, S B Maisel, and S Müller: Acta Mater., 2014, vol. 75, pp. 307–15.

    Article  Google Scholar 

  17. P Hohenberg and W Kohn: Phys. Rev., 1964, vol. 136, pp. B864–71.

    Article  Google Scholar 

  18. W Kohn and L J Sham: Phys. Rev., 1965, vol. 140, pp. A1133–38.

    Article  Google Scholar 

  19. P Giannozzi, S Baroni, N Bonini, M Calandra, R Car, C Cavazzoni, D Ceresoli, G L Chiarotti, M Cococcioni, I Dabo, A Dal Corso, S Fabris, G Fratesi, S de Gironcoli, R Gebauer, U Gerstmann, C Gougoussis, A Kokalj, M Lazzeri, L Martin-Samos, N Marzari, F Mauri, R Mazzarello, S Paolini, A Pasquarello, L Paulatto, C Sbraccia, S Scandolo, G Sclauzero, A P Seitsonen, A Smogunov, P Umari, and R M Wentzcovitch: J Phys: Cond. Matt, 2009, vol. 21, p. 395502.

    Article  Google Scholar 

  20. A Rappe, K Rabe, E Kaxiras, and J Joannopoulos: Phys. Rev. B, 1990, vol. 41, pp. 1227–30.

    Article  Google Scholar 

  21. J P Perdew, K Burke, and M Ernzerhof: Phys. Rev. Lett., 1996, vol. 77, pp. 3865–68.

    Article  Google Scholar 

  22. A J Hatt, B C Melot, and S Narasimhan: Phys. Rev. B, 2010, vol. 82, p. 134418.

    Article  Google Scholar 

  23. A Metsue, A Oudriss, J Bouhattate, and X Feaugas: J Chem Phys, 2014, vol. 140, p. 104705.

    Article  Google Scholar 

  24. F Abe and T Tanabe: Z. Metall., 1985, vol. 76, pp. 420–25.

    Google Scholar 

  25. R Cury: Etude métallurgique des alliages Ni-W et Ni-W-Cr: relation ordre à courte distance et durcissement, PhD Paris VII University, 2007.

  26. B B Karki, L Stixrude, and R M Wentzcovitch: Rev. Geophys., 2001, vol. 39, pp. 507–34.

    Article  Google Scholar 

  27. A Metsue and T Tsuchiya: Phys Chem Minerals, 2011, vol. 39, pp. 177–87.

    Article  Google Scholar 

  28. J F Nye: Physical Properties of Crystals—Their Representation by Tensors and Matrices. Oxford Science Publications, Oxford, 1964.

    Google Scholar 

  29. A G Every and A K McCurdy: Second and Higher Order Elastic Constants, in Landolt-Börnstein-group III. Springer, Berlin, 1992, 29a: 14.

    Google Scholar 

  30. S Hirsekorn: Textures and Microstructures, 1990, vol. 12, pp. 1–14.

    Article  Google Scholar 

  31. D Mainprice: Comp. Geosci., 1990, vol. 16, pp. 385–93.

    Article  Google Scholar 

  32. J J Vlassak and W D Nix: J. Mech. Phys. Solids, 1994, vol. 42, pp. 1223–45.

    Article  Google Scholar 

  33. C A Brookes, J B O’Neill, and B A W Redfern: Proc. Royal Society A: Math., Phys. Eng. Sci., 1971, vol. 322, pp. 73–88.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Laboratoire des Sciences de l’Ingénieur pour l’Environnement, UMR CNRS 7356, Université de La Rochelle, Avenue Michel Crépeau, 17000, La Rochelle, France

    Arnaud Metsue & Xavier Feaugas

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  1. Arnaud Metsue
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  2. Xavier Feaugas
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Correspondence to Arnaud Metsue.

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Manuscript submitted May 17, 2017.

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Metsue, A., Feaugas, X. Elasticity of Ni x W1−x (x ≤ 0.1875) Alloys from First Principles Calculations. Metall Mater Trans A 48, 5223–5227 (2017). https://doi.org/10.1007/s11661-017-4332-2

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  • DOI: https://doi.org/10.1007/s11661-017-4332-2

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