On nonlinear models of deformation of strata and propagation of seismic vibrations

Authors

  • O.V. Kendzera S.I. Subbotin Institute of Geophysics of the NAS of Ukraine, Kiev
  • J.J. Rushchitsky S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2017.11.044

Keywords:

bulk modulus, nonlinear phenomenological models, shear modulus, strata

Abstract

A possibility of using two nonlinear phenomenological models from mechanics of materials — Neo-Hookean and Mooney—Rivlin — with the aim to take the effect of strata into account in studying the seismic hazard for building sites is considered. A correspondence of these models and experimental data under a nonlinear deformation of soils is shown. It is proposed to change the existing empirical and semiempirical models of nonlinear deformation of strata by pheno menological ones.

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References

Aki, K. & Richards, P.G. (2009). Quantitative Seismology. 2nd ed. Sausalito, CA: University Science Books.

Kendzera, O. V. (2015). Seismic Hazard and Seismic Protection in Ukraine. Ukrainian Geogr. J. No. 3, pp. 9-15 (in Ukrainian). https://doi.org/10.15407/ugz2015.03.009

Kokusho, T. (1990). Effect of nonlinear soil properties on seismic amplification in surface layers. Proceedings of the 2nd International Conference on Earthquake Geotechnical Engineering (pp. 913-918), Lisbon.

Semenova, Yu. V. (2016). A technique of determination of resonance properties of soil complexes in seismic microzoning. (Unpublished candidate thesis). S.I. Subbotin Institute of Geophysics of the NAS of Ukraine, Kyiv, Ukraine (in Ukrainian).

Vucetic, M. & Dobry, R. (1991). Effect of soil plasticity on cyclic response. J. Geotech. Eng., 117, pp. 89-107. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:1(89)

Bell, J. F. (1973). Experimental Foundations of Solid Mechanics. von S. Flügge (Ed.). Handbuch der Physik, Band VIa/I. Berlin: Springer. https://doi.org/10.1007/978-3-642-69565-0

Rushchitsky, J. J. (2014). Nonlinear Elastic Waves in Materials. Cham: Springer. https://doi.org/10.1007/978-3-319-00464-8

Published

22.09.2024

How to Cite

Kendzera, O., & Rushchitsky, J. (2024). On nonlinear models of deformation of strata and propagation of seismic vibrations . Reports of the National Academy of Sciences of Ukraine, (11), 44–51. https://doi.org/10.15407/dopovidi2017.11.044

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