The Selected Models of the Mesostructure of Composites

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
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.