Modeling Conductive and Elastic Properties of Superconductive Composites

Abstract

Definition of composite properties (in particular, for superconductors) in dependence on the microstructure and phase features is one of the main problems in mechanics of composite materials. Simplest models operate with properties of single components (or phases) and their concentrations. More complex computation methods take into account different micromechanical effects (e.g. interactions of adjacent components, non-ideal contacts between them, etc.). Due to sharp difference of conductivity of normal and superconducting components of superconductive composites, and also geometrical features of various phases, the asymptotic approaches to solve the problems become very effective and attractive. These studies of conductive and mechanical properties of superconductive composites are fulfilled by taking into account the influence of inclusion coverage (for fibers and grains) on the composite conductivity, effects of non-ideal contacts of inclusions and matrix, structure irregularity and cluster formation. In these cases, for joining the solutions are used Pade two-point approximations and method of asymptotically-equivalent functions.