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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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The Complex Percolation Model of Structure of Materials.- The Percolation Model of the Long-Range Effect.- Interaction of Mesoscopic Interior Boundaries of Materials.- The Small Clusters: Genesis, Structure and Features.- Conclusion.

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Prof. Alexander Herega is head of the Department of Computer Systems and Full Professor of Department of Physics at Odessa National Academy of Food Technologies. He got the diploma at the Department of Theoretical Physics of I. Mechnikov Odessa State University, PhD and D Sc. degrees at Odessa National Academy of Food Technologies.

He is a member of the American Physical Society (APS), American Chemical Society (ACS), and Ukrainian Physical Society.
He belongs to the editorial board of the International Journal of Composite Materials, International Journal of Modern Physics and Application.

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