Skip to main content
Log in

Inertial Reference Frames for Subsystems of Deformable Bodies

  • Published:
Moscow University Mechanics Bulletin Aims and scope

Abstract

It is assumed that a certain reference frame is inertial for a system of moving and interacting bodies called a large system. In the framework of classical continuum mechanics, some necessary and sufficient conditions are obtained for the existence of a reference frame for a subsystem of this large system considered as an independent large system. The motion of such a new reference frame with respect to the old reference frame (with the accuracy up to the Galilean transformations) is specified.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. I. Sedov, Mechanics of Continuous Media (Nauka, Moscow, 1984; World Scientific, River Edge, 1997).

    Google Scholar 

  2. A. A. Il’yushin, Mechanics of Continuous Media (Mosk. Gos. Univ., Moscow, 1990) [in Russian].

    MATH  Google Scholar 

  3. C. Truesdell, A First Course in Rational Continuum Mechanics (The Johns Hopkins Univ. Press, Baltimore, 1972; Mir, Moscow, 1975).

    Google Scholar 

  4. G. L. Brovko, Fundamentals of Continuum Mechanics, Part 2 (Mosk. Gos. Univ., Moscow, 2013) [in Russian].

    MATH  Google Scholar 

  5. G. L. Brovko, Constitutive relations in Continuum Mechanics. Development of the Mathematical Apparatus and Foundations of the General Theory (Nauka, Moscow, 2017) [in Russian].

    Google Scholar 

  6. P. Appell and S. Dautheville, Precis de Mecanique Rationnelle (Faux, Paris, 1918; Mathesis, Odessa, 1912).

    MATH  Google Scholar 

  7. V. I. Arnold. Mathematical Methods of Classical Mechanics (Nauka, Moscow, 1979; Springer, New York, 1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. L. Brovko.

Additional information

Russian Text © The Author(s), 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 6, pp. 44–50.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Brovko, G.L. Inertial Reference Frames for Subsystems of Deformable Bodies. Moscow Univ. Mech. Bull. 74, 153–158 (2019). https://doi.org/10.3103/S0027133019060037

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027133019060037

Navigation