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

1Kendzera, OV, Rushchitsky, JJ
1S. I. Subbotin Institute of Geophysics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 11:44-51
https://doi.org/10.15407/dopovidi2017.11.044
Section: Geosciences
Language: Ukrainian
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.

Keywords: bulk modulus, nonlinear phenomenological models, shear modulus, strata
References: 
  1. Aki, K. & Richards, P.G. (2009). Quantitative Seismology. 2nd ed. Sausalito, CA: University Science Books.
  2. 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
  3. 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.
  4. 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 (Unpublished candidate thesis).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).
  5. 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)
  6. 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
  7. Rushchitsky, J. J. (2014). Nonlinear Elastic Waves in Materials. Cham: Springer. https://doi.org/10.1007/978-3-319-00464-8