Abstract
The behavior of the deformation vector u in massive structures under the action of their own gravitational field is analyzed. The variation of the radial component of u with physical properties of a massive body is demonstrated with the Earth. A set of differential equations is derived based on variational calculus methods.
References
M. S. Molodenskii, Comm. Obs. R. Belgique 25, 288 (1961).
Natural Oscillations of the Earth: Collection of Scientific Works (Nauka, Moscow, 1964).
V. A. Magnitskii, Internal Structure and Physics of the Earth (Nauka, Moscow, 1965).
P. Melchior, The Earth Tides (Pergamon, Oxford, 1966; Nauka, Moscow, 1968).
J. Weber, Phys. Rev. Lett. 20, 1307 (1968).
E. G. Markaryan and V. P. Myasnikov, Hydrodynamic Model of the Earth’s Evolution (Institut Kosmicheskikh Issledovanii Akad. Nauk SSSR, Moscow, 1977).
J. Won and J. Kuo, Geophys. Res. 78, 905 (1973).
V. P. Myasnikov and V. E. Fadeev, Itogi Nauki Tekh., Ser.: Fiz. Zemli 5, 3 (1980).
M. A. Sadovskii, V. F. Pisarenko, et al., Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 12, 3 (1983).
M. A. Sadovskii, V. F. Pisarenko, et al., Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 1, 12 (1984).
O. A. Akimov, V. A. Malugin, and A. B. Manukin, Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 10, 97 (1985).
D. Agnew, Rev. Geophys., No. 3, 579 (1986).
P. Melchior and B. Ducarme, Phys. Earth Planet. Inter. 129, 42 (1986).
A. V. Kobzev and V. P. Myasnikov, Dokl. Akad. Nauk SSSR 296, 381 (1987).
Dynamic Processes in the Earth’s Crust (Nauka, Moscow, 1994).
V. B. Braginskii, Ya. B. Zel’dovich, and V. N. Rudenko, Determination of the Gravitational Constant and Measurement of Fine Gravitational Effects (Moscow, 1973), pp. 8–19.
I. Bichak and V. N. Rudenko, Gravity Waves and Their Detection (Nauka, Moscow, 1987).
V. N. Rudenko, Phys. Lett. A 223, 421 (1996).
L. El’sgol’ts, Differential Equations and Variational Calculus (Nauka, Moscow, 1969; Mir, Moscow, 1970).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 1: Mechanics (Nauka, Moscow, 1973; Pergamon, New York, 1988).
S. O. Gladkov and A. M. Tokarev, Fiz. Goreniya Vzryva 25, 30 (1990).
S. O. Gladkov, Perspekt. Mater., No. 1, 50 (2000).
A. Yu. Loskutov and A. S. Mikhailov, Introduction to Synergism (Nauka, Moscow, 1990).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Pthysics, Vol. 7: Theory of Elasticity (Nauka, Moscow, 1987; Pergamon, New York, 1986).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 1, 2003, pp. 131–133.
Original Russian Text Copyright © 2003 by Gladkov.
Rights and permissions
About this article
Cite this article
Gladkov, S.O. On Internal strain-induced changes in massive bodies due to their own gravitational field. Tech. Phys. 48, 122–124 (2003). https://doi.org/10.1134/1.1538741
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1538741