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The Selected Models of the Mesostructure of Composites

Alexander Herega

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

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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Schlagwörter

Relative Ordering Disordered Homogeneous Materials, Stability of Mesoscopic Clusters, Long-Range Effect in Disordered Materials, Clusters with Transforming Element, Power Field of Multiscale Networks, Percolation Cluster of Phases of Material, Field Interaction of Multifractals, Computer Simulation of Matrial Structure, Interaction of Interior Boundaries, Relative Ordering of Structure Heterogeneous Materials, Genesis of Structure and Properties