Authors:
- Explains the formation and interaction of clusters at internal borders, which are important for the strength of materials
- Features a new method to describe the interaction of bodies of arbitrary form, such as fractal clusters
- Develops a model of the percolation effect to explain materials’ properties
- Presents the oscillation properties of the material, the abnormal level of stress, and the mechanism of change in the equilibrium concentration of charge carriers
Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
- Percolation Cluster of Phases of Material
- Stability of Mesoscopic Clusters
- Field Interaction of Multifractals
- Long-Range Effect in Disordered Materials
- Relative Ordering of Structure Heterogeneous Materials
- Relative Ordering Disordered Homogeneous Materials
- Clusters with Transforming Element
- Power Field of Multiscale Networks
- Interaction of Interior Boundaries
- Computer Simulation of Matrial Structure
- Genesis of Structure and Properties
Authors and Affiliations
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Department of Computer Systems, Odessa National Academy of Food Technologies, Odessa, Ukraine
Alexander Herega
About the author
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.
Bibliographic Information
Book Title: The Selected Models of the Mesostructure of Composites
Book Subtitle: Percolation, Clusters, and Force Fields
Authors: Alexander Herega
Series Title: SpringerBriefs in Physics
DOI: https://doi.org/10.1007/978-3-319-89704-2
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s), under exclusive licence to Springer International Publishing, part of Springer Nature 2018
Softcover ISBN: 978-3-319-89703-5Published: 12 June 2018
eBook ISBN: 978-3-319-89704-2Published: 31 May 2018
Series ISSN: 2191-5423
Series E-ISSN: 2191-5431
Edition Number: 1
Number of Pages: IX, 107
Number of Illustrations: 35 b/w illustrations
Topics: Numerical and Computational Physics, Simulation, Ceramics, Glass, Composites, Natural Materials, Structural Materials, Soft and Granular Matter, Complex Fluids and Microfluidics, Materials Engineering