30Mar 2017

THEORETICAL STUDY OF THE EFFECT OF LINEAR DEFORMATION ON BULK MODULUS AND COMPRESSIBILITY OF METALS.

  • Department of Physics, Ekiti State University, Ado-Ekiti, Nigeria.
  • Abstract
  • Keywords
  • References
  • Cite This Article as
  • Corresponding Author

The effects of deformation on the bulk modulus and compressibility of different elemental metals were computed and studied based on pseudopotential formalism. The electron density parameters of deformed metals under the application of different strains were obtained for different metals. The poison ratio relating the transversal compression to elongation in the direction of applied deformation for different elemental metals were computed using elastic moduli for homogeneous isotropic material and used in this work. The results obtained revealed that there is a good agreement between the computed and experimental value of the bulk modulus and compressibility of metals. There is high concentration of electron in the high density region than in the low density region for the bulk modulus and compressibility of metals these seems to suggest that the bulk modulus and compressibility of metals depend on the density of valence electron in metals. The bulk modulus of all the metals investigated decreases as deformation increases. These could be due to reduction in electron compressible rate, fracture density and increase in inter atomic distance between the electrons in the metals. The effect of deformation is more pronounced on the polyvalent metals than in alkaline metals these could be due to the high electronic concentration and high electronic energy level of the free atom in the alkaline metal. Compressibility increases with an increase in deformation for all the metals investigated. These could be due to an increase in the collision between the interacting electrons in metals which forces the compressibility of the electron in metals to increase as deformation increases.


  1. Adesakin, G. E.(2016). Effect of Linear Deformation on Electrical Conductivity of Metal. Advances in Physics Theories and Applications UK. Vol. 53, 10-17.
  2. Adeshakin, G.E. and Osiele, O.M. (2012). Surface Energy and Surface Stress of Deformed Metals. Journal of the Nigerian Association of Mathematical Physics, Vol. 21, 421-428.
  3. Animalu, A.O.E. (1977).Intermediate quantum Mechanics of crystalline solids. Eagle wood Cliffs, New Jersey.
  4. Backofen, W. A. (1972): deformation processing additson – Wesley publishing company. Massachusetts institute of technology.
  5. Borg, S.F. (1990): Fundamentals of Engineering Elasticity. Published by World Scientific Publishing Co. Pte. Ltd.
  6. Bowen, C., Sugiyama, G. and Alder, B.T. (1974): Static response of the electron gas. Physical Review B. vol. 50, No 20, 14838-14848.
  7. Duan, F. and Guojun, J. (2005), Introduction to Condensed Matter Physics. Vol. 1. World scientific publishing Co. Pte. Ltd. P. 199.
  8. Elliott, S.R. (1997). The Physics and Chemistry of solids. Trinity College, University of Cambridge UK. Pp 291-308.
  9. Hugh Ford and Alexander, J. M. (1977), Advanced Mechanics of Materials. Publish by Ellis Horwood Limited, Chichester, 2nd ISBN 85312-056-0 PP 3-5.
  10. Iwamoto, N. (1999). Effects of screening on the thermal resistivity of metals due to electron-electron scattering. Physical Review B. 59(15): 9687-9690.
  11. Kiejna, A. and Pogosov, V.V. (2000): simple theory of elastic deformed metals: surface energy, stress and work function. Physical Review B. Vol. 62, No 15, 10445-10450.
  12. Kiejna, A. and Wojciechowski, K.F. (1996), Metal surface electron physics. Elsevier science. Tokyo, Japan. 293pp.
  13. Kittel C. (1976): Introduction to solid state Physics. Fifth edition. John Wiley and sons. Inc. New York.
  14. Kiejna A. (1993): Surface properties of simple metals in a structureless pseudopotential model. Physical Review B 47 (12), 7361-7364.
  15. Kukkonen, C.A. and Wilkins, J.W. (1979). Electron-Electron Scattering in simple metals. Physical Review B. 19(12): 6075-6093.
  16. Ling, D.D and Gelatt, C.D. (1981). Theory of chemical trends in simple metal elastic moduli. Physical Review B.22(2): 557-573.
  17. Marder, M.P. (2000). Condensed Matter Physics. John Wiley and sons Inc. New York pp 230-235..
  18. Osiele, O.M.and Adesakin G.E and Otobo S.I (2011). Effects of screening on the thermal Resistivity and Compressibility Ratio of metals. Journal of the Nigerian Association of Mathematical Physics, 19, 519-526. Nigeria.
  19. Osiele, O.M. and Edema, O.G. (2009). Bulk modulus of metals according to structurelesspseudopotential model. Journal of the Nigerian Association of Mathematical Physics, 14, 197-204. Nigeria.
  20. Perdew, J. and Zunger, A. (1981), self-interaction correction to density functional approximation for many electron systems. Physical review B 23(10): 5075-5076.
  21. Perdew,J.P, Trans, H.Q, and Smith, E.d. (1990) stabilized jellium structureless pseudopotential model for the cohesive and surface properties of metals. Physical Review B. 18(18): 11627-11636.
  22. Pillai, S.D. (2010). Solid State Physics. Published by New Age International (P) Ltd. New Revised Sixth Edition. 4835/24. Ansari Road. Daryaganji. New Delhi - 110002 pp 47-86.
  23. Solymar L and Walsh D., (1984): Lectures on the Electrical Properties of Material. Publish by Oxford University Press, New York, United State. 3rd ISBN 0193511620. Pp98-100.
  24. Vacker, J., Hythe, M. and Sumunck, A. (1998). All Electron pseudopotential. Physical Review B. 58(19): 12712-12719.

[Adesakin G. E. (2017); THEORETICAL STUDY OF THE EFFECT OF LINEAR DEFORMATION ON BULK MODULUS AND COMPRESSIBILITY OF METALS. Int. J. of Adv. Res. 5 (Mar). 1539-1548] (ISSN 2320-5407). www.journalijar.com


Adesakin G. E.
Department of Physics, Ekiti State University, Ado-Ekiti, Nigeria

DOI:


Article DOI: 10.21474/IJAR01/3663      
DOI URL: https://dx.doi.org/10.21474/IJAR01/3663