Mechanics and physics of structured media : asymptotic and integral equations methods of Leonid Filshtinsky / Igor Andrianov, Simon Gluzman, and Vladimir Mityushev.

Includes bibliographical references and index.

L.A Filshtinsky's contribution to applied mathematics and mechanics of solids -- Cracks in two-dimensional magneto-electro-elastic medium -- Two-dimensional equations of magneto-electro-elasticity -- Hashin-Shtrikman assemblage of inhomogeneous spheres -- Inverse conductivity problem for spherical particles -- Compatibility conditions: number of independent equations and boundary conditions -- Critical index for conductivity, elasticity, superconductivity. results and methods -- Double periodic bianalytic functions -- The slowdown of group velocity in periodic waveguides -- Some aspects of wave propagation in a fluid-loaded membrane -- Parametric vibrations of axially compressed functionally graded sandwich plates with a complex plan form -- Application of volume integral equations for numerical calculations of local fields and effective properties of elastic composites -- A slipping zone model for a conducting interface crack in a piezoelectric bimaterial -- Dependece of effective properties upon regular perturbations -- Reimann-Hilbert problems with coefficients in compact lie groups -- When risks and uncertainties collide: quantum mechanical formulation of mathematical finance for arbitrage markets -- Thermodynamics and stability of metallic nano-ensembles -- Comparative analysis of local stresses in unidirectional and cross-reinforced composites -- Statistical theory of structures with extended defects -- Effective conductivity of 2D composites and circle packing approximations -- Asymptotic homogenization approach applied to cosserat heterogenous media -- Appendix A. Finite clusters in composites.