The Selected Models of the Mesostructure of Composites
Percolation, Clusters, and Force Fields
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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.
Explains the formation and interaction of clusters at internal borders which are important for the strength of materials
Features a new method to describe the interaction of bodies of arbitrary form, such as fractal clusters
Develops a model of the percolation effect to explain materials properties
Presents the oscillation properties of the material, the abnormal level of stress, the mechanism of change in the equilibrium concentration of charge carriers
Explains the formation and interaction of clusters at internal borders, which are important for the strength of materials Features a new method to describe the interaction of bodies of arbitrary form, such as fractal clusters Develops a model of the percolation effect to explain materials’ properties Presents the oscillation properties of the material, the abnormal level of stress, and the mechanism of change in the equilibrium concentration of charge carriers
Autor*in
Alexander Herega
Themen in »The Selected Models of the Mesostructure of Composites«
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