Herega The Selected Models of the Mesostructure of Composites

Percolation, Clusters, and Force Fields
1. Auflage 2018
ISBN: 978-3-319-89704-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 110 Seiten, eBook

Reihe: SpringerBriefs in Physics

This book presents the role of mesostructure on the properties of composite materials. A complex percolation model is developed for the material structure containing percolation clusters of phases and interior boundaries. Modeling of technological cracks and the percolation in the Sierpinski carpet are described. The interaction of mesoscopic interior boundaries of the material, including the fractal nature of interior boundaries, the oscillatory nature of it interaction and also the stochastic model of the interior boundaries' interaction, the genesis, structure, and properties are discussed. One of part of the book introduces the percolation model of the long-range effect which is based on the notion on the multifractal clusters with transforming elements, and the theorem on the field interaction of multifractals is described. In addition small clusters, their characteristic properties and the criterion of stability are presented.


Prof. Alexander Herega is head of the Department of Computer Systems and Full Professor of Department of Physics at Odessa National Academy of Food Technologies. He got the diploma at the Department of Theoretical Physics of I. Mechnikov Odessa State University, PhD and D Sc. degrees at Odessa National Academy of Food Technologies. He is a member of the American Physical Society (APS), American Chemical Society (ACS), and Ukrainian Physical Society. He belongs to the editorial board of the International Journal of Composite Materials, International Journal of Modern Physics and Application. He has more 100 publications and three text-books 'Simulation and statistical modeling', 'Constructive fractals in set theory', and 'Course of physics'. He teaches General Physics, Computer Science, Information Technologies and System Science. His areas of research are: Materials Science, Percolation Theory, Fractal Clusters, Dynamical Systems, Deterministic Chaos, Computer Simulation, and Modeling of Physical Phenomenon. 

Zielgruppe

Research

Autoren/Hrsg.

Herega, Alexander

Inhaltsverzeichnis

1;Preface;6
2;Contents;8
3;Abstract;10
4;1 Introduction;11
4.1;References;13
5;2 Complex Percolation Model of the Material Structure;15
5.1;2.1 Percolation Clusters of Phases and Interior Boundaries;16
5.2;2.2 Modeling of Technological Cracks;21
5.3;2.3 Percolation in the Sierpinski Carpet;22
5.4;2.4 The Development of the Concept of the Immediate Neighborhood at Percolation Models;23
5.5;References;24
6;3 Percolation Model of the Long-Range Effect;26
6.1;3.1 The Anomalous Interaction in Semiconductors;27
6.2;3.2 Model of the Long-Range Effect. Clusters with Transforming Elements;28
6.3;3.3 Computer Implementation of the Model;30
6.4;3.4 Long-Range in Construction Composites;31
6.5;3.5 Conclusion;33
6.6;References;34
7;4 The Interaction of Mesoscopic Interior Boundaries of the Material;35
7.1;4.1 Interior Boundaries and Properties of Composite Materials;36
7.2;4.2 Fractal Nature of Interior Boundaries’ Networks. Force Field Model of Polyscale Network;40
7.3;4.3 The Oscillatory Interaction of Different Scales Structures. Stochastic Model of the Interior Boundaries’ Interaction;46
7.4;4.4 Conclusion;57
7.5;References;57
8;5 Small Clusters: Genesis, Structure, and Properties;60
8.1;5.1 Simulation of Coagulation in a Curvilinear Two-Phase Flow. Types of Clusters. ?-Criterion;61
8.2;5.2 Stability of Mesoscopic Clusters. The Theorem on the Field Interaction of Multifractals;67
8.3;References;72
9;6 Conclusion;74
10;Appendix A: Essay on Models;75
11;Appendix B: Some Parameters of Percolation Systems. Calculating Formulas;82
12;Appendix C: Dimensions: Genesis of Representations and Physical Applications;85
13;Appendix D: The Relative Order of the Heterogeneous Materials’ Structure;104

The Complex Percolation Model of Structure of Materials.- The Percolation Model of the Long-Range Effect.- Interaction of Mesoscopic Interior Boundaries of Materials.- The Small Clusters: Genesis, Structure and Features.- Conclusion.

Über Autor(innen)

Prof. Alexander Herega is head of the Department of Computer Systems and Full Professor of Department of Physics at Odessa National Academy of Food Technologies. He got the diploma at the Department of Theoretical Physics of I. Mechnikov Odessa State University, PhD and D Sc. degrees at Odessa National Academy of Food Technologies. He is a member of the American Physical Society (APS), American Chemical Society (ACS), and Ukrainian Physical Society. He belongs to the editorial board of the International Journal of Composite Materials, International Journal of Modern Physics and Application. He has more 100 publications and three text-books "Simulation and statistical modeling", "Constructive fractals in set theory", and "Course of physics". He teaches General Physics, Computer Science, Information Technologies and System Science. His areas of research are: Materials Science, Percolation Theory, Fractal Clusters, Dynamical Systems, Deterministic Chaos, Computer Simulation, and Modeling of Physical Phenomenon.