Local and nonlocal micromechanics of heterogeneous materials / Valeriy A. Buryachenko.
Buryachenko, Valeriy A.
2022
TA405
Available Online

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Title Local and nonlocal micromechanics of heterogeneous materials / Valeriy A. Buryachenko.
Author Buryachenko, Valeriy A.
ISBN 9783030817848 (electronic bk.)
3030817849 (electronic bk.)
3030817830
9783030817831
DOI https://doi.org/10.1007/978-3-030-81784-8
Publication Details Cham, Switzerland : Springer, [2022]
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-81784-8 doi
Call Number TA405
Dewey Decimal Classification 620.1/1292
Summary 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. Applies the unified generalized theory to analze the broadest range of problems Sheds light on opportunities for a fundamentally new generalized theory leading to discovery of fundamentally new effects critical for a wide range of nonlinear and nonlocal problems Successfully combines advanced numerical methods for analysis of a finite number of interacting inhomogeneities in either the bounded or unbounded domains.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
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Source of Description Online resource; title from PDF title page (SpringerLink, viewed December 3, 2021).
Available in Other Form Local and nonlocal micromechanics of heterogeneous materials.
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Chapter 1. Introduction
Chapter 2. Foundations of Solid Mechanics
Chapter 3. Green's Functions, Eshelby and Related Tensors
Chapter 4. Multiscale Analysis of the Multiple Interacting Inclusions Problem: Finite Number of Interacting Inclusions
Chapter 5. Statistical Description of Composite Materials
Chapter 6. Effective Properties and Energy Methods in Thermoelasticity and Thermoelectroelasticity of Composites
Chapter 7. General Integral Equations of Micromechanics of Composite Materials
Chapter 8. Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites
Chapter 9. Basic Representations of New background of Micromechanics
Chapter 10. Inhomogeneity of the First and Second Statistical Moments of Stresses Inside the Heterogeneities of CMs
Chapter 11. Interface integral technique in thermoelasticity of random structure matrix CMs
Chapter 12. Nonlinear Problems in Micromechanics of CMs
Chapter 13. Nonlocal Effects in Micromechanics of Locally Elastic CMs
Chapter 14. Micromechanics of Strongly Nonlocal Strain-Type and Weakly Nonlocal CMs
Chapter 15. Subsequent Generalizations of Theory and Related Problems
Chapter 16. Bond-Based Peridynamics
Chapter 17. Background of Peridynamic Micromechanics
Chapter 18. Peridynamic Micromechanics of Random Structure Composites
Chapter 19. Computational homogenization in linear peridynamic micromechanics of periodic structure CM
Chapter 20. Conclusion
Chapter 21. Appendix.

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