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Local and Nonlocal Micromechanics of Heterogeneous Materials

  • Book
  • © 2022

Overview

Authors:
  1. Valeriy A. Buryachenko

    1. Micromechanics and Composites LLC, Cincinnati, USA

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  • Applies the unified generalized theory to analyze

  • Sheds light on opportunities for a fundamentally

  • Successfully combines advanced numerical

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxv
    Download chapter PDF

  2. Introduction

    • Valeriy A. Buryachenko
    Pages 1-18

  3. Foundations of Solid Mechanics

    • Valeriy A. Buryachenko
    Pages 19-58

  4. Green’s Functions, Eshelby, and Related Tensors

    • Valeriy A. Buryachenko
    Pages 59-110

  5. Multiscale Analysis of the Multiple Interacting Inclusion Problem: Finite Number of Interacting Inclusions

    • Valeriy A. Buryachenko
    Pages 111-158

  6. Statistical Description of Composite Materials

    • Valeriy A. Buryachenko
    Pages 159-217

  7. Effective Properties and Energy Methods in Thermoelasticity and Thermoelectroelasticity of Composites

    • Valeriy A. Buryachenko
    Pages 219-276

  8. General Integral Equations of Micromechanics of Composite Materials

    • Valeriy A. Buryachenko
    Pages 277-309

  9. Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites

    • Valeriy A. Buryachenko
    Pages 311-401

  10. Basic Representations of New Background of Analytical Micromechanics

    • Valeriy A. Buryachenko
    Pages 403-443

  11. Inhomogeneity of the First and Second Statistical Moments of Stresses Inside the Heterogeneities of CMs

    • Valeriy A. Buryachenko
    Pages 445-481

  12. Interface Integral Technique in Thermoelasticity of Random Structure Matrix CMs

    • Valeriy A. Buryachenko
    Pages 483-520

  13. Nonlinear Problems in Micromechanics of CMs

    • Valeriy A. Buryachenko
    Pages 521-567

  14. Nonlocal Effects in Micromechanics of Locally Elastic CMs

    • Valeriy A. Buryachenko
    Pages 569-605

  15. Micromechanics of Strongly Nonlocal Strain-Type and Weakly Nonlocal CMs

    • Valeriy A. Buryachenko
    Pages 607-670

  16. Subsequent Generalizations of Theory and Related Problems

    • Valeriy A. Buryachenko
    Pages 671-724

  17. Bond-Based Peridynamics

    • Valeriy A. Buryachenko
    Pages 725-746

  18. Background of Peridynamic Micromechanics

    • Valeriy A. Buryachenko
    Pages 747-794

  19. Peridynamic Micromechanics of Random Structure Composites

    • Valeriy A. Buryachenko
    Pages 795-847

  20. Computational Homogenization in Linear Peridynamic Micromechanics of Periodic Structure CMs

    • Valeriy A. Buryachenko
    Pages 849-899
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Keywords

About this book

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. 


Authors and Affiliations

  • Micromechanics and Composites LLC, Cincinnati, USA

    Valeriy A. Buryachenko

About the author

Valeriy Buryachenko received his MS degree in Mathematics from M.V. Lomonosov Moscow State University, USSR, his Ph.D. degree in Material Science from the Chemical Production Engineering Res. Institute in Moscow, USSR; and his D. Sc. degree in Mechanical Engng (Mechanics of Solids) from S.P. Timoshenko Institute of Mechanics (NAS of Ukraine, Kiev). He is the author of 160 papers in micromechanics and the books “Micromechanics of Heterogeneous Materials”, Springer, NY (2007) and “Local and Nonlocal Micromechanics of Heterogeneous Materials”, Springer, NY (2021). His main achievement is a development of a new (second) background of micromechanics of composites (the first background based on the effective field hypothesis was proposed by Poisson, Faraday, Mossotti, Clausius, Lorenz, and Maxwell, 1824-1880). It offers great opportunities for a fundamental jump in multi-scale and multi-physics modeling of a wide class of heterogeneous media with drastically improved accuracy of local field estimations.

He is a President of a small consulting company Micromechanics & Composites LLC.  Prior this, he works in the leading Research centers and universities of USA, Italy, Austria, and Germany. Prior this, he worked as a Senior Res. Scientist in the Research institutes and a Full Professor of Math in the Moscow Univ. of Chemical Engineering Industry, Russia

Bibliographic Information

  • Book Title: Local and Nonlocal Micromechanics of Heterogeneous Materials

  • Authors: Valeriy A. Buryachenko

  • DOI: https://doi.org/10.1007/978-3-030-81784-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-81783-1Published: 17 November 2021

  • Softcover ISBN: 978-3-030-81786-2Published: 18 November 2022

  • eBook ISBN: 978-3-030-81784-8Published: 16 November 2021

  • Edition Number: 1

  • Number of Pages: XXV, 999

  • Number of Illustrations: 137 b/w illustrations, 16 illustrations in colour

  • Topics: Mechanical Engineering, Solid Mechanics, Materials Engineering, Structural Materials, Materials Science, general

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