Toward the Analysis of the Structure of Granular Materials

Gerasymov, O.I.; Zagorodny, A. G.; Somov, M.M.

doi:10.15407/ujpe58.01.0032

Cited by 4 publications

(5 citation statements)

References 8 publications

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“…Granular materials today constitute a significant array of industrial production and consumption [14][15][16][17]. Of particular interest in the context of this article is their use as an insulating, protective material in protection against various types of radiation .…”

Section: One-dimensional Models Of Anisotropic Systemsmentioning

confidence: 99%

“…However, in the case of, for example, low-dimensional systems representing consisting of one-dimensional chains of force centers (or crystals), two-dimensional lattices including a small number of impurity components or defects, the analysis can be approximately reduced to solving the problem of the migration of a plane wave in the presence of only a countable number of impurities. In this case, taking into account the presence of impurity centers can be adequately carried out using transfer matrix method (which is equivalent to specifying the corresponding boundary conditions on impurity centers) [14][15][16][17]. The corresponding mechanism is well developed in the theory of solids and makes it possible to express the trigger properties of the system in terms of internal parameters of impurities and configuration characteristics (distance between impurities).…”

Section: One-dimensional Models Of Anisotropic Systemsmentioning

confidence: 99%

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Theoretical Models of Composite Materials for the Protection Technologies

Gerasymov

2024

E3S Web Conf.

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The work develops the concept of shielding external radiation using composite materials that are a single condensed structure with incorporated specially configured impurities and (or) defects. Using the example of a one-dimensional model of an inhomogeneous power chain, the possibility of the existence of blocking and transparency effects with respect to external radiation, which arise already in the presence of binary impurities, which, in turn, act as the simplest models of composite systems, is shown. It is proposed to use the above property (isomorphic to the experimentally observed Ramsauer-Townsend effect) for the synthesis of composite materials in radiation protection technologies.

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Section: One-dimensional Models Of Anisotropic Systemsmentioning

confidence: 99%

Section: One-dimensional Models Of Anisotropic Systemsmentioning

confidence: 99%

Theoretical Models of Composite Materials for the Protection Technologies

Gerasymov

2024

E3S Web Conf.

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“…Several methods have been proposed to describe and model the evolution of the underlying structure during quasistatic dynamics [4][5][6][7][8]. A general way to describe mechanically stable granular structures in two-dimensions (2D) is based on what is known as the cell order distribution (COD) [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Steady states of two-dimensional granular systems are unique, stable, and sometimes satisfy detailed balance

Blumenfeld

2023

J. Phys. A: Math. Theor.

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Understanding the structural evolution of granular systems is a long-standing problem. A recently proposed theory for such dynamics in two dimensions predicts that steady states of very dense systems satisfy detailed-balance. We analyse analytically and numerically the steady states of this theory in systems of arbitrary density and report the following. 1. We discover that all such dynamics almost certainly possess only one physical steady state, which may or may not satisfy detailed balance. 2. We show rigorously that, if a detailed balance solution is possible then it is unique. The above two results correct an erroneous conjecture in the literature. 3. We show rigorously that the detailed-balance solutions in very dense systems are globally stable, extending the local stability found for these solutions in the literature. 4. In view of recent experimental observations of robust detailed balance steady states in very dilute cyclically sheared systems, our results point to a self-organisation of process rates in dynamic granular systems.

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“…This is an important feature for the application of the approach in the case of granular mixtures. It is important to note that the nature of the interaction between the particles does not directly affect the partitioning procedure [5]. Experimental studies of granular mixtures allow to obtain information about the distribution of particle centers at a certain point in time and, thus, to parameterize the structure using the Voronoi method.…”

Section: Introductionmentioning

confidence: 99%

Micro-mechanical (granular) mixtures for environmental safety technologies

et al. 2021

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One of the most significant problems that belong to effective use of granular materials GM (for example, in the construction, pharmacological, chemical, agricultural and some other industries, as well as in the technologies of screening against internal radiation) is the difficulty of ensuring their maximum compaction in order to increase the efficiency of their practical application. In this way, we study of the properties of binary granular systems, the dynamics of their compaction and the impact on this process of the ratio of component sizes and partial parameters in order to provide an innovative step in the development of appropriate technologies. To this end, we propose to use the apparatus of Kirkwood-Buff theory in combination with model equations of state, like Carnahan-Starling, together with relevant phenomenological information, which obtained from direct observations. We report theoretically the fundamental possibility of increasing the degree and speed of packaging and at first describe substantiate empirical data in the full range of values of the volume (or molar) fraction.

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Toward the Analysis of the Structure of Granular Materials

Cited by 4 publications

References 8 publications

Theoretical Models of Composite Materials for the Protection Technologies

Theoretical Models of Composite Materials for the Protection Technologies

Steady states of two-dimensional granular systems are unique, stable, and sometimes satisfy detailed balance

Micro-mechanical (granular) mixtures for environmental safety technologies

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