Physical Aspects of Self-Organization Processes in Composites. 1. Simulation of Percolation Clusters of Phases and of Inner Boundaries

Herega, Alexander

doi:10.1615/nanomechanicsscitechnolintj.v4.i2.20

Cited by 8 publications

(6 citation statements)

References 5 publications

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“…At the same time, for the critical exponents of physical quantities which describe the processes and phenomena, one can specify a set with the dimensionality of which this indicator is connected. In turn, the study of the structure of these sets allows understanding of the critical behavior of a system and the relations between the indicators, and allows tracing the connection between the behavior of a system in its intermediate asymptotics and its geometry [43][44][45][46].…”

Section: Modeling Of Percolation Systemsmentioning

confidence: 99%

“…A priori, it is clear that increasing the allowable hopping distance can significantly reduce the percolation threshold and the degree of filling of a material by conductive additives, and, as a consequence, increase the correlation length and lacunarity, reduce the power of the percolation and finite clusters, etc. The hopping distance plays here the role of the control parameter [43,45]. For the proper modeling of percolation system, selected physicochemical properties of conducting polymer have to be determined experimentally.…”

Section: Modeling Of Percolation Systemsmentioning

confidence: 99%

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Concept of a Conducting Composite Material for Lightning Strike Protection

Katunin

Krukiewicz

Herega

et al. 2016

Advances in Materials Science

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The paper focuses on development of a multifunctional material which allows conducting of electrical current and simultaneously holds mechanical properties of a polymeric composite. Such material could be applied for exterior fuselage elements of an aircraft in order to minimize damage occurring during lightning strikes. The concept introduced in this paper is presented from the points of view of various scientific disciplines including materials science, chemistry, structural physics and mechanical engineering with a discussion on results achieved to-date and further plans of research.

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Section: Modeling Of Percolation Systemsmentioning

confidence: 99%

Section: Modeling Of Percolation Systemsmentioning

confidence: 99%

Concept of a Conducting Composite Material for Lightning Strike Protection

Katunin

Krukiewicz

Herega

et al. 2016

Advances in Materials Science

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“…The clusters occur at all levels of the material’s structural heterogeneity and are subjected to the process of the self-assembly. Their main feature is the fractal nature, which allows observation of them at each of the structure’s level [ 1 , 19 , 20 , 21 , 22 , 23 , 24 ]. The key elements in this description are the separation surfaces between clusters that appear in the form of technological cracks, created at the initial stage of formation of the cement matrix structure.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Metakaolinite on the Development of Thermal Cracks in a Cement Matrix

Szeląg

2018

Materials

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In the paper the cluster cracks of cement paste that has been modified with metakaolinite was analyzed. The samples were loaded with an elevated temperature based on a thermal shock. To describe the crack structure, three stereological parameters were proposed to measure: (i) the cluster average area (A¯); (ii) the cluster average perimeter (L¯); and (iii) the crack average width (I¯). The computer image analysis was implemented in the study, and 4 series of samples were subjected to the examination. In two series, metakaolinite was used as a substitute for 10% of a cement’s mass. An assessment of the basic physico-mechanical characteristics of the cement matrix was also carried out. The structure of the cement paste was considered as a highly concentrated dispersion system, in which the interactions between the cement’s grains at the initial stage of the structure self-assembly affect the crack characteristics. The study has been supplemented with microstructural investigations using a scanning electron microscope and an X-ray microanalyzer. The conducted research indicated the direction of changes in the geometrical characteristics of thermal cracks if the technological variables of the material are subjected to modification. It was also confirmed that the cluster structures have fractal character and can be analyzed and observed on many levels of a structural heterogeneity.

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“…They are determined by the physical-chemical properties of the particles, the intensity of their interaction, the dimension and type of the matrix, the universality class of the percolation system, and others. In furtherance of research into such systems, we have constructed a computer model for controlling the structure of percolation clusters in the process of their formation [8]. It is important that the model considers percolation problems with self-organization, in which the properties of the percolation cluster are also determined by the history of the system development.…”

Section: Introductionmentioning

confidence: 99%

Theoretical aspects of the genesis of composites: Dependence of properties on the history of formation

Herega

2023

ce papers

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Studies of the last decades have brought the results of modern natural science into technology of composite materials of the widest range. The methods of percolation theory have become constructive tools for studying the structure of composites, for the purposeful creation of materials with desired properties. In this paper, a computer model of the processes of self‐organization of percolation clusters has been created. The model considers such problems with self‐organization, in which the properties of a percolation cluster are also determined by the history of the system's development. To study the structure and properties of such systems, a three‐dimensional continuum percolation problem with interacting elements is solved in the model. Iterative algorithms for the motion and interaction of particles and clusters, leading to the formation of percolation systems, have been developed. Their structure and properties have been studied, a number of standard parameters have been calculated, and the dependence of the structure and properties of clusters on the rate of system generation, degree of self‐organization, and characteristic values of the correlation length has been studied; analytical dependences of a number of parameters of percolation systems are obtained.

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Physical Aspects of Self-Organization Processes in Composites. 1. Simulation of Percolation Clusters of Phases and of Inner Boundaries

Cited by 8 publications

References 5 publications

Concept of a Conducting Composite Material for Lightning Strike Protection

Concept of a Conducting Composite Material for Lightning Strike Protection

The Influence of Metakaolinite on the Development of Thermal Cracks in a Cement Matrix

Theoretical aspects of the genesis of composites: Dependence of properties on the history of formation

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