Selected models of the mesostructure of composites :
General Material Designation
[Book]
Other Title Information
percolation, clusters, and force fields /
First Statement of Responsibility
Alexander Herega.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (110 pages)
SERIES
Series Title
SpringerBriefs in Physics
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Intro; Preface; Contents; Abstract; 1 Introduction; References; 2 Complex Percolation Model of the Material Structure; 2.1 Percolation Clusters of Phases and Interior Boundaries; 2.2 Modeling of Technological Cracks; 2.3 Percolation in the Sierpinski Carpet; 2.4 The Development of the Concept of the Immediate Neighborhood at Percolation Models; References; 3 Percolation Model of the Long-Range Effect; 3.1 The Anomalous Interaction in Semiconductors; 3.2 Model of the Long-Range Effect. Clusters with Transforming Elements; 3.3 Computer Implementation of the Model.
Text of Note
5.2 Stability of Mesoscopic Clusters. The Theorem on the Field Interaction of MultifractalsReferences; 6 Conclusion; Appendix A: Essay on Models; Appendix B: Some Parameters of Percolation Systems. Calculating Formulas; Appendix C: Dimensions: Genesis of Representations and Physical Applications; Appendix D: The Relative Order of the Heterogeneous Materials' Structure.
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8
SUMMARY OR ABSTRACT
Text of Note
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.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783319897042
OTHER EDITION IN ANOTHER MEDIUM
Title
Selected Models of the Mesostructure of Composites. Percolation, Clusters, Power Fields.
International Standard Book Number
9783319897035
TOPICAL NAME USED AS SUBJECT
Composite materials-- Simulation methods.
Ceramics, Glass, Composites, Natural Materials.
Materials Engineering.
Numerical and Computational Physics, Simulation.
Physics.
Soft and Granular Matter, Complex Fluids and Microfluidics.