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Book Cover
Author Herega, Alexander, author.

Title Selected models of the mesostructure of composites : percolation, clusters, and force fields / Alexander Herega.

Published Cham : Springer, 2018.


Location Call No. Status
Physical description 1 online resource (110 pages).
Series SpringerBriefs in Physics
SpringerBriefs in physics.
Springer Physics and Astronomy eBooks 2018 English+International
Bibliography Includes bibliographical references.
Contents 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.
3.4 Long-Range in Construction Composites3.5 Conclusion; References; 4 The Interaction of Mesoscopic Interior Boundaries of the Material; 4.1 Interior Boundaries and Properties of Composite Materials; 4.2 Fractal Nature of Interior Boundaries' Networks. Force Field Model of Polyscale Network; 4.3 The Oscillatory Interaction of Different Scales Structures. Stochastic Model of the Interior Boundaries' Interaction; 4.4 Conclusion; References; 5 Small Clusters: Genesis, Structure, and Properties; 5.1 Simulation of Coagulation in a Curvilinear Two-Phase Flow. Types of Clusters. Ξ-Criterion.
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.
Summary 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.
Other author SpringerLink issuing body.
Subject Composite materials -- Simulation methods.
Electronic books.
ISBN 9783319897042
Standard Number 10.1007/978-3-319-89704-2