One Class of Problems of the Theory of Elasticity and Seismology and a Problem of Earthquake Prediction

Spatial quasi-static and dynamic problems of the theory of elasticity, simulating the behavior of lithospheric plates and blocks of Earth’s crust are solved for a layered package. According to the data of seismic stations, GPS, inclinometers, and other measuring instruments, slow (age-related) and transient motions of lithospheric plates are considered. It is shown that by carrying out regular measurements, based on the obtained solutions, it is possible to trace the entire process of preparation and occurrence of earthquakes.

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  1. 1.

    V. A. Babeshko and O. M. Babeshko, “On the study of boundary-value problems of seismology,” Ekol. Vestn. Nauch. Tsentr. ChES, No. 3, 5–10 (2004).

  2. 2.

    V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, “Starting earthquake with harmonic effects in spatial case,” Ekol. Vestn. Nauch. Tsentr. ChES, 15, No. 2, 24–29 (2018).

    Google Scholar 

  3. 3.

    C. Lomnitz and K. S. Singh, “Earthquakes and Earthquake Prediction,” in: C. Lomnitz and E. Rosenblueth (eds.), Seismic Risk and Engineering Decisions, Elsevier, New York (1976), pp. 3–30.

  4. 4.

    L. A. Aghalovyan, Asymptotic Theory of Anisotropic Plates and Shells, World Scientific Publishing, Singapore, London (2015).

    Book  Google Scholar 

  5. 5.

    L. A. Aghalovyan, “On some classes of 3D boundary-value problems of statics and dynamics of plates and shells,” in: Shell and Membrane Theories in Mechanics and Biology, Springer, Switzerland (2015), pp. 1–23.

  6. 6.

    L. A. Aghalovyan, “On one class of three-dimensional problems of elasticity theory for plates,” Proc. of the A. Razmadze Math. Instit., No. 155, 3–10 (2011).

  7. 7.

    M. Anderson, Investigating Plate Tectonics, Earthquakes and Volcanoes, Britannica Educational Publishing, New York (2012).

    Google Scholar 

  8. 8.

    S. Basar, D. Coupland, and H. U. Obrist, The Age of Earthquakes, Penguin Books, London (2015).

    Google Scholar 

  9. 9.

    B. A. Bolt, Earthquakes, W. H. Freeman and Company, San Francisco (1978).

    Google Scholar 

  10. 10.

    R. A. Gallant, Plates: Restless Earth, Marshall Cavendish, New York (2003).

    Google Scholar 

  11. 11.

    B. Gutenberg and C. F. Richter, “Earthquake magnitude, intensity, energy and acceleration,” Bulletin of the Seismological Soc. Amer., 46, No. 2, 105–145 (1956).

    Article  Google Scholar 

  12. 12.

    K. Kasahara, Earthquake Mechanics, Cambridge University Press, Cambridge (1981).

    Google Scholar 

  13. 13.

    H. Le Pichon, J. Franchetean, and J. Bonnin, Plate Tectonics, Amsterdam, Elsevier (1973).

    Google Scholar 

  14. 14.

    T. Rikitake, Earthquake Prediction, Elsevier, Amsterdam (1976).

    Google Scholar 

Download references

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Correspondence to L. A. Ahalovian.

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Translated from Prikladnaya Mekhanika, Vol. 57, No. 1, pp. 29–43, January–February 2021.

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Ahalovian, L.A., Ahalovian, M.L. One Class of Problems of the Theory of Elasticity and Seismology and a Problem of Earthquake Prediction. Int Appl Mech 57, 19–33 (2021).

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  • layered plate
  • lithospheric plate
  • elasticity
  • 3D problems
  • seismology
  • earthquake prediction
  • asymptotic method