Buryachenko V. Local and Nonlocal Micromechanics..Materials 2022 torrent

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This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials.
Introduction
Foundations of Solid Mechanics
Green’s Functions, Eshelby, and Related Tensors
Multiscale Analysis of the Multiple Interacting Inclusion Problem: Finite Number of Interacting Inclusions
Statistical Description of Composite Materials
Effective Properties and Energy Methods in Thermoelasticity and Thermoelectroelasticity of Composites
General Integral Equations of Micromechanics of Composite Materials
Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites
Basic Representations of New Background of Analytical Micromechanics
Inhomogeneity of the First and Second Statistical Moments of Stresses Inside the Heterogeneities of CMs
Interface Integral Technique in Thermoelasticity of Random Structure Matrix CMs
Nonlinear Problems in Micromechanics of CMs
Nonlocal Effects in Micromechanics of Locally Elastic CMs
Micromechanics of Strongly Nonlocal Strain-Type and Weakly Nonlocal CMs
Subsequent Generalizations of Theory and Related Problems
Bond-Based Peridynamics
Background of Peridynamic Micromechanics
Peridynamic Micromechanics of Random Structure Composites
Computational Homogenization in Linear Peridynamic Micromechanics of Periodic Structure CMs
Conclusion