Skip to main content
Log in

Molecular‐Statistical Description of Nonuniformly Deformed Specimens. 1. Formulation of the Problem and Method for Solving It

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

To describe the structural and mechanical properties of actual deformed crystalline specimens with defects (thermal vacancies), simultaneous use is made of the method of correlative functions of the particle and vacancy distribution over the volume and the method of thermodynamic functionals, which implies solution of the corresponding variational problem in the final stage of statistical investigations. For the first time the tensor of microscopic deformation of the lattice is introduced in governing equations of statistical physics as internal field parameters of the system. As a result, prerequisites for a statistical solution of problems of elasticity theory with simultaneous description of the structure and mechanical characteristics of the elastic properties of the specimens are created.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. I. I. Narkevich, Molecular-Statistical Theory of Inhomogeneous Condensed Media, Doctor's Dissertation in Physical and Mathematical Sciences, St. Petersburg (1993).

  2. N. N. Bogolyubov, Selected Works [in Russian], Vol. 2, Kiev (1970).

  3. L. A. Rott, Statistical Theory of Molecular Systems [in Russian], Moscow (1979).

  4. F. F. Abraham, Physics Reports, 53, No. 2, 93-156 (1979).

    Google Scholar 

  5. N. P. Kovalenko and I. Z. Fisher, Usp. Fiz. Nauk, 108, No. 2, 209-240 (1972).

    Google Scholar 

  6. J. Rowlinson and B. Weedom, Molecular Theory of Capillarity [Russian translation], Moscow (1986).

  7. G. S. Bokun, V. S. Vikhrenko, I. I. Narkevich, and R. A. Rott, Vestsi Akad. Navuk BSSR, Ser. Fiz.-Mat. Navuk, No. 4, 104-109 (1980).

  8. V. I. Iveronova and A. A. Katsnel'son, Near Order in Solid Solutions [in Russian], Moscow 1977).

  9. L. Girifalcot, Statistical Physics of Solids [Russian translation], Moscow (1985).

  10. I. I. Narkevich, Vysokochist. Veshchestva, No. 1, 67-75 (1990).

  11. J. Mays, Theory and Problems of the Mechanics of a Continuum [Russian translation], Moscow (1974).

  12. A. M. Kats, Elasticity Theory [in Russian], Moscow (1956).

  13. L. D. Landau and E. M. Lifshits, Theoretical Physics. Elasticity Theory [in Russian], Vol. 7, Moscow (1987).

  14. I. I. Narkevich, Vestsi Akad. Navuk BSSR, Ser. Fiz.-Mat. Navuk, No. 5, 86-92 (1988).

  15. I. I. Narkevich, Physica A, 150, 659-671 (1988).

    Google Scholar 

  16. I. I. Zharkevich, S. I. Klintsevich, and I. I. Narkevich, Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk, No. 4, 111-117 (1998).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Narkevich, I.I., Zharkevich, A.V. Molecular‐Statistical Description of Nonuniformly Deformed Specimens. 1. Formulation of the Problem and Method for Solving It. Journal of Engineering Physics and Thermophysics 73, 1272–1277 (2000). https://doi.org/10.1023/A:1009451027560

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1009451027560

Keywords

Navigation