The Selected Models of the Mesostructure of Composites

Percolation, Clusters, and Force Fields

  • Alexander Herega

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Alexander Herega
    Pages 1-4
  3. Alexander Herega
    Pages 17-25
  4. Alexander Herega
    Pages 67-67
  5. Back Matter
    Pages 69-107

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.


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

  • Alexander Herega
    • 1
  1. 1.Department of Computer SystemsOdessa National Academy of Food TechnologiesOdessaUkraine

Bibliographic information

  • DOI
  • Copyright Information The Author(s), under exclusive licence to Springer International Publishing, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy Physics and Astronomy (R0)
  • Print ISBN 978-3-319-89703-5
  • Online ISBN 978-3-319-89704-2
  • Series Print ISSN 2191-5423
  • Series Online ISSN 2191-5431
  • Buy this book on publisher's site
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Energy, Utilities & Environment