Mechanics and Physics of Structured Media: Asymptotic and Integral Equations Methods of Leonid Filshtinsky.

Mechanics and Physics of Structured Media provides critical information on the macroscopic properties of various composite materials and the mathematical functions and equations key to understanding their mechanical behaviors. Centered around and building upon the monumental work of Leonid Filshtinsky, the book provides insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, sedimentation velocity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, short-time and non-local diffusion, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material are covered as well.