Asymptotical Mechanics of Composites: Modelling Composites without FEM

1 contains a short literature survey and a description of aims of the book and used approaches.- 2 presents a short tutorial, where the employed physical theories, the popular methods of theory of composites and certain mathematical approaches are described.- 3 Devoted to the transport properties of fiber and particle-reinforced composites. Besides of detection of their effective properties, local fields on the micro-level and an influence of the non-ideal contact between the matrix and inclusions are investigated.- 4 Edge effects are also studied.- 5. Besides of detection of the effective properties, the edge effects in fiber composite materials are investigated.- 6 presents the problems aimed at the transition of the load from the fiber to the matrix for elastic and viscoelastic composites, various types of fiber composite fracture, and the buckling phenomena of fibers in fiber-reinforced composites.- 7 is devoted to problems of perforated membranes, plates and shells.- 8 Nonlinear elastic problems are analyzed.