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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2017, Volume 21, Number 1, Pages 137–159 (Mi vsgtu1498)  

This article is cited in 1 scientific paper (total in 1 paper)

Mechanics of Solids

Transient dynamics of 3D inelastic heterogeneous media analysis by the boundary integral equation and the discrete domains methods

V. A. Petushkov

A. A. Blagonravov Mechanical Engineering Institute RAS, Moscow, 101990, Russian Federation

Abstract: For the study of transients in 3D nonlinear deformable media we develope modeling methods which based on integral representations of 3D boundary value problem of elastic dynamics, numerical high-order approximation schemes of boundaries and collocation approximation of solutions. The generalized boundary integral equation method formulations using fundamental solutions of static elasticity, equation of state of elastoplastic media with anisotropic hardening and difference methods for time integration are represented. We take into account the complex history of combined slowly changing over time and impact loading of composite piecewise-homogeneous media in the presence of local perturbation solutions areas. With the use of this method and discrete domains method the solutions of applied problems of the propagation of non-linear stress waves in inhomogeneous media are received. Comparisons with the solutions obtained by the finite element method are represented also. They confirm the computational efficiency of the developed algorithms, as well as common and useful for practical purposes of the proposed approach.

Keywords: inhomogeneous media, wave propagation , nonlinear deformation and failure, boundary integral equation method, finite difference method, collocation approximation, subdomains method, mathematical simulation

DOI: https://doi.org/10.14498/vsgtu1498

Full text: PDF file (1220 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

Document Type: Article
UDC: 517.958:539.3(1)
MSC: 74G30, 74H25, 74J20
Received: June 26, 2016
Revised: October 15, 2016
Accepted: December 9, 2016
First online: April 3, 2017

Citation: V. A. Petushkov, “Transient dynamics of 3D inelastic heterogeneous media analysis by the boundary integral equation and the discrete domains methods”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:1 (2017), 137–159

Citation in format AMSBIB
\Bibitem{Pet17}
\by V.~A.~Petushkov
\paper Transient dynamics of 3D inelastic heterogeneous media analysis
by~the boundary integral equation and~the~discrete domains methods
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 1
\pages 137--159
\mathnet{http://mi.mathnet.ru/vsgtu1498}
\crossref{https://doi.org/10.14498/vsgtu1498}
\elib{http://elibrary.ru/item.asp?id=29245102}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Petushkov V.A., “Simulation of 3-D Deformable Bodies Dynamics By Spectral Boundary Integral Equation Method”, J. Mach. Manuf. Reliab., 46:6 (2017), 542–553  crossref  isi
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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