Simulation of Shear Motion of Angular Grains Massif via the Discrete Element Method

Mykulyak, S.V.; Kulich, V. V.; Skurativskyi, Sergii

doi:10.1007/978-3-319-91008-6_8

Cited by 5 publications

(1 citation statement)

References 14 publications

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“…Experimental studies and computer simulation of deformation of granular massifs indicate that fluctuations of intergranular forces and velocities of granules can many times exceed their mean values [33][34][35][36] that is common to seismic processes [15] as well. During the deformation of granular systems, the long-range correlations [37] are intensified. Moreover, the displacement of granular media occurs intermittently [34,35,38,39] and is accompanied by the radiation of stochastic acoustic disturbances.…”

Section: Introductionmentioning

confidence: 99%

Statistical Properties of Shear Deformation of Granular Media and Analogies with Natural Seismic Processes

Mykulyak¹,

Polyakovskyi²,

Skurativskyi³

2019

Pure Appl. Geophys.

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In this paper, the process of shear deformation of the medium formed by the cubic grains is investigated experimentally. It is demonstrated that the deformation process is intermittent and accompanied by the radiation of acoustic perturbations. These perturbations obey statistical laws that are inherent in natural seismic processes: the frequency-energy scaling relation (the Gutenberg-Richter law) and the generalized Omori law for temporal decay of aftershocks. The weak perturbations influence on the process of shear deformation is studied for the mono-dispersed medium. During the granular medium stimulation by weak periodic signals, the existence of a critical frequency providing the smallest number of critical events in the granular medium is identified. We also developed the algorithm providing smaller stresses inside the granular massif by means of external perturbations during shear deformation. Taking into account the statistical similarity between shear and seismic processes, these results open prospects for the ability to affect the natural seismic processes.

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Section: Introductionmentioning

confidence: 99%

Statistical Properties of Shear Deformation of Granular Media and Analogies with Natural Seismic Processes

Mykulyak¹,

Polyakovskyi²,

Skurativskyi³

2019

Pure Appl. Geophys.

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Subduction in the Earth’s Lithosphere, Modeled as a Compressed Flow of Cubes Using the Discrete Element Method

Vengrovich¹,

Kulich²

2020

Advances in Computer Science for Engineering and Education III

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Dynamics of structured geomedia: theory, models, experiment

Mykulyak

2024

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The monograph is devoted to studying the dynamics of structured media taking into account their discrete and hierarchical structures. The geomedia in question include a wide class of naturally occurring discrete rock massifs, from granular rock massifs like sand to highly heterogeneous and fragmented areas such as seismically active zones. Research is carried out within the framework of the approach in which the geomedium is interpreted as a complex discrete system with a hierarchical structure and nonlinear and dissipative interaction between structural elements. Discrete models are used to study the dynamics of structured media since continuous models can’t reproduce the full variety of dynamic behavior of such media. In addition, for a hierarchical medium, it is impossible to perform averaging when moving to a continuous description due to the lack of a small parameter. Models are proposed that account for the hierarchical structure of media, particularly, the model of nested oscillators and the block model of earthquakes, which reproduces all the main empirical properties of seismic processes. The processes of propagation of nonlinear waves in discrete media and the formation of wave structures in them are considered in detail. Experiments with dynamic deformation of granular massifs are presented in which the nature of intergranular interaction and their deformation properties are investigated. Numerical modeling of such dynamic deformation confirms the experimental results regarding the existence of correlations of intergranular interaction forces, and the calculated time dependences of the coordination number, orientational order parameter, correlation radius, and distribution of intergranular forces demonstrate the non-equilibrium nature of the process of dynamic deformation of the granular medium. Considerable attention in the monograph is devoted to the study of shear deformation of the granular medium. Experiments and numerous simulations prove a statistical similarity in the shear deformation of granular media and natural seismic processes. Therefore the study of shear deformation of granular media provides a better understanding of the occurrence and properties of earthquakes. The book is aimed at students, post-graduate students, teachers of higher scientific institutions, and researchers whose scientific interests cover areas such as geophysics and the physics of complex systems.

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Simulation of Shear Motion of Angular Grains Massif via the Discrete Element Method

Cited by 5 publications

References 14 publications

Statistical Properties of Shear Deformation of Granular Media and Analogies with Natural Seismic Processes

Statistical Properties of Shear Deformation of Granular Media and Analogies with Natural Seismic Processes

Subduction in the Earth’s Lithosphere, Modeled as a Compressed Flow of Cubes Using the Discrete Element Method

Dynamics of structured geomedia: theory, models, experiment

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