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Supercomputer Modeling of Wave Propagation in Blocky Media Accounting Fractures of Interlayers

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Nonlinear Wave Dynamics of Materials and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 122))

Abstract

To analyze the propagation of stress waves in structurally inhomogeneous materials, we use the method of direct numerical simulation based on a mathematical model of a blocky medium with elastic blocks interacting through compliant elastic-plastic interlayers, and a model of nonlinear theory of the orthotropic Cosserat continuum that takes into account the shear and rotational nature of irreversible deformation. The continuum model is formulated as a variational inequality, correctly describing both the state of an elastic-plastic flow of a material under active loading and the state of elastic unloading. In the model of a blocky medium, variational inequalities are used to describe the plastic deformation of interlayers between the blocks and to simulate cracks moving along the interlayers. Parallel computational algorithms and author’s software codes for multiprocessor computer systems of cluster architecture are used in the numerical implementation of mathematical models. In 2D setting, a problem of pulse loading of a rectangular blocky rock mass of the masonry type through a platform is studied. A good correspondence between the results of computations is obtained on qualitative and quantitative levels.

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Authors and Affiliations

  1. Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, 660036, Russian Federation

    Vladimir M. Sadovskii & Oxana V. Sadovskaya

Authors
  1. Vladimir M. Sadovskii
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  2. Oxana V. Sadovskaya
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Corresponding author

Correspondence to Vladimir M. Sadovskii .

Editor information

Editors and Affiliations

  1. Faculty of Mechanical Engineering, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

  3. Mechanical Engineering Research Institute of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    Igor S. Pavlov

  4. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia

    Alexey V. Porubov

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Sadovskii, V.M., Sadovskaya, O.V. (2020). Supercomputer Modeling of Wave Propagation in Blocky Media Accounting Fractures of Interlayers. In: Altenbach, H., Eremeyev, V., Pavlov, I., Porubov, A. (eds) Nonlinear Wave Dynamics of Materials and Structures. Advanced Structured Materials, vol 122. Springer, Cham. https://doi.org/10.1007/978-3-030-38708-2_22

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  • DOI: https://doi.org/10.1007/978-3-030-38708-2_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-38707-5

  • Online ISBN: 978-3-030-38708-2

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