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BL
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| Record Number
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866013
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| Main Entry
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Herega, Alexander
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| Title & Author
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Selected models of the mesostructure of composites : : percolation, clusters, and force fields /\ Alexander Herega.
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| Publication Statement
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Cham :: Springer,, 2018.
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| Series Statement
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SpringerBriefs in Physics
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| Page. NO
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1 online resource (110 pages)
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| ISBN
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3319897047
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: 9783319897042
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3319897039
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9783319897035
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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.
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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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| Abstract
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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.
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| Subject
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Composite materials-- Simulation methods.
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Amorphous substances.
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Building materials.
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Ceramics glass technology.
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Ceramics.
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Complex fluids.
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Composite materials-- Standards.
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Composite materials.
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Glass.
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Materials science.
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Materials-- States of matter.
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Materials.
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Mathematical physics.
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Physics.
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TECHNOLOGY ENGINEERING-- Engineering (General)
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TECHNOLOGY ENGINEERING-- Reference.
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Physics.
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Ceramics, Glass, Composites, Natural Materials.
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Materials Engineering.
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Numerical and Computational Physics, Simulation.
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Soft and Granular Matter, Complex Fluids and Microfluidics.
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Structural Materials.
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| Subject
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United States.
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| Dewey Classification
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620.1/18
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| LC Classification
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TA418.9.C6
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