Journals / Mathematical and Computational Applications / 2003 / Cilt: 8 - Sayı: 1

Mechanical stability and elastic properties of some FCC metals: A many-body potential applications

Pages
295–302
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The obtained results are compared with the available experimental data and the agreement is good.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:To represent the total energy of fcc metals(Cu, Ag, Al, Ca, Sr) the potential functions are assumed to be composed of the two-body pairwise Rydberg potential and volume dependent energy $(P_{1}V)$ which represent many body interactions.
📊
Key Findings & Data:Energy, stress and elastic moduli calculations are performed on the basis of Rydberg and Rydberg plus$ P_{1}V$ potentials to locate the stress-free bcc phase ön the fee metals.
💡
Conclusion & Impact:The obtained results are compared with the available experimental data and the agreement is good.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

To represent the total energy of fcc metals(Cu, Ag, Al, Ca, Sr) the potential functions are assumed to be composed of the two-body pairwise Rydberg potential and volume dependent energy $(P_{1}V)$ which represent many body interactions. Energy, stress and elastic moduli calculations are performed on the basis of Rydberg and Rydberg plus$ P_{1}V$ potentials to locate the stress-free bcc phase ön the fee metals. The studied crystals are subjected to unconstrained (100) uniaxial tension and compression for all computations. Also, these potentials are used to calculate the second- and third-order elastic constants, $C_{ ij}$ and $C_{ijk}$. The obtained results are compared with the available experimental data and the agreement is good.

🔖

Cite This Article

ÇİFTÇİ, Y. Ö., ÇOLAKOĞLU, K. (2003). Mechanical stability and elastic properties of some FCC metals: A many-body potential applications. Mathematical and Computational Applications, Cilt: 8 - Sayı: 1, 295–302. https://ajindex.com/articles/280152

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (20)

  1. J. Cai, Phys., Stat. Sol. (b) 203, 345, 1997
  2. F. Milstein, Phys. Rev. B, 3, 1130, 1971
  3. M. Born, Proc. Cambridge Phil. Soc., 36, 160, 1940
  4. K.P. Thakur, Phys. Rev. B, 26, 3001,1982
  5. A. Kelly, W.R. Tyson, A.A. Cottrell, Phil. Mag., 15, 567, 1967
  6. M. Born, R. Fiirth, Proc. Cambridge Phil. Soc., 36, 454,1940
  7. R. Najafabadi and G. Kalonji, Acta Metali. 36(4), 917, 1988
  8. K. Belay Seyoum, K.P. Thakur, D. Jha, Phys. Stat. Sol. (b) 167, 495, 1991
  9. Y. Ö. Çiftçi and K. Çolakoğlu, J. Ins. ofSci. and Tech. of Gazi Univ. 14, 269,2001
  10. Y. Ö.Çiftçi and K. Çolakoğlu, Tr. J. Phys. 21, 930, 1997
  11. Y. Ö.Çiftçi and K. Çolakoğlu, Acta Physica Pol. A, 100, 539, 2001
  12. A. Romano, J. Li, S. Yip, Physica A, 304,11, 2002
  13. WX Li and TC Wang, Phys. Rev. B., 59 (6), 3993, 1999
  14. Y.P. Varshni, F.J. Bloore, Phys. Rev. 129,1, 115,1963
  15. L.A. Girifalco and V.G. Weizer, Phys. Rev., 114, 687,1959
  16. F.B. Hildebran, Method of Applied Mathematics, Prentice-Hall, Englewood, N.J. Cliffs, 1952
  17. S. Chantasiriwan and F.Milstein, Phys. Rev. B,58, 6000,1988
  18. C. Kittel, Introduction to Solid State Physics, 5th ed. (Wiley, Newyork), 1976. [191 M.J. Mehl and L.L. Boyer, Phys. Rev. B, 43, 94,1998
  19. G. Simmons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregate Properties, A Hanbook, Second Edition MIT Press, Cambridge, 1971
  20. Y. Hiki and AV. Granato, Phys. Rev., 144, 4 11,1996.