Applied Analysis of Composite Media: Analytical and Computational Approaches presents
formulas and techniques that can used to study 2D and 3D problems in composites and …

We develop a fast and effective method of multiscale analysis of composite materials with a
complex structure. The complexity of the structure results from the nano− T i C particles of …

We study the mechanical properties of unidirectional fibers with circular section embedded
into a matrix by the method of complex potentials. First, a finite number n of inclusions is …

According to Muskhelishvili's approach, two-dimensional elastic problems for media with
non-overlapping inclusions are reduced to boundary value problems for analytic functions in …

Abstract We develop novel Key Cell method and the theory of analytical representative
volume element (ARVE) based on the Eisenstein-Rayleigh-Mityushev sums. ARVE is …

Analytical exact and approximate formulas for the effective properties of 2D composites with
circular nonoverlapping inclusions were derived in the previous works. Using the …

The main goal of this paper is to discuss the method of characterization of distributions of
geometric objects on the plane. The method is based on the structural sums performing the …

The main goal of this paper is to provide regularization method for structural sums in order to
achieve stable features in analysis of data represented by distributions of non-overlapping …