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Matematicheskoe modelirovanie, 2018, Volume 30, Number 11, Pages 59–74 (Mi mm4018)  

This article is cited in 11 scientific papers (total in 11 papers)

Continuum model and method of calculating for dynamics of inelastic layered medium

N. G. Buragoa, A. B. Zhuravleva, I. S. Nikitinb

a Ishlinsky Institute for problems in mechanics of RAS
b Institute for Computer Aided Design of RAS
References:
Abstract: Mathematical modeling of the processes of wave propagation in a layered medium with viscoplastic slip conditions at contact boundaries was carried out, also as passing of waves through a fluid-containing layered massif. An improved model of a layered medium with nonlinear viscoplastic slip conditions at interlayer boundaries was constructed. A numerical solution method for the equations of a layered medium with viscoplastic interlayers for a power slip condition was developed. An example was given of a numerical calculation of the passing of a transverse elastic wave through a layered massif possessing effective anisotropic viscoplastic properties. A two-dimensional problem of the reflection from the buried layered massif was numerically solved for a system of waves excited by a nonstationary surface source. A comparison was made between the dynamics of the surface points for the elastic solution and the solution, taking into account the influence of the buried layered massif, as well as the effect of the thickness of the layers. The proposed models can be useful in solving of the dynamic problems of seismic survey and interpretation of wave patterns obtained in its course.
Keywords: layered medium, slip condition, continuum model, layered viscoplastic massif, explicit-implicit scheme, seismic survey.
Received: 12.02.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 3, Pages 488–498
DOI: https://doi.org/10.1134/S2070048219030098
Document Type: Article
Language: Russian
Citation: N. G. Burago, A. B. Zhuravlev, I. S. Nikitin, “Continuum model and method of calculating for dynamics of inelastic layered medium”, Matem. Mod., 30:11 (2018), 59–74; Math. Models Comput. Simul., 11:3 (2019), 488–498
Citation in format AMSBIB
\Bibitem{BurZhuNik18}
\by N.~G.~Burago, A.~B.~Zhuravlev, I.~S.~Nikitin
\paper Continuum model and method of calculating for dynamics of inelastic layered medium
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 11
\pages 59--74
\mathnet{http://mi.mathnet.ru/mm4018}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 3
\pages 488--498
\crossref{https://doi.org/10.1134/S2070048219030098}
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  • https://www.mathnet.ru/eng/mm/v30/i11/p59
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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