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The micromechanics of random structure heterogeneous materials is a burgeoning multidisciplinary research area which overlaps the scientific branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology.
Micromechanics of Heterogeneous Materials features rigorous theoretical methods of applied mathematics and statistical physics in materials science of microheterogeneous media. The prediction of the behavior of heterogeneous materials by the use of properties of constituents and their microstructures is a central issue of micromechanics. This book is the first in micromechanics to provide a useful and effective demonstration of the systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature.
Micromechanics of Heterogeneous Materials is suitable as a reference for researchers involved in applied mathematics, physics, geophysics, materials science, and electrical, chemical, civil and mechanical engineering working in micromechanics of heterogeneous media. Micromechanics of Heterogeneous Materials is also appropriate as a textbook for advanced graduate courses.
List of contents
Foundations of Solid Mechanics.- Green's Functions, Eshelby and Related Tensors.- Multiscale Analysis of the Multiple Interacting Inclusions Problem: Finite Number of Interacting Inc.- Statistical Description of Composite Materials.- Effective Properties and Energy Methods in Thermoelasticity of Composite Materials.- General Integral Equations of Micromechanics of Composite Materials.- Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites.- Some Related Methods in Micromechanics of Random Structure Composites.- Generalization of the MEFM in Random Structure Matrix Composites.- Periodic Structures and Periodic Structures with Random Imperfections.- Nonlocal Effects in Statistically Homogeneous and Inhomogeneous Random Structure composites.- Stress Fluctuations in Random Structure Composites.- Random Structure Matrix Composites in a Half-Space.- Effective Limiting Surfaces in the Theory of Nonlinear Composites.- Nonlinear Composites.- Some related problems.- Multiscale Mechanics of Nanocomposites.- Conclusion. Critical Analysis of Some Basic Concepts of Micromechanics.
Summary
Here is an accurate and timely account of micromechanics, which spans materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. The book features rigorous and unified theoretical methods of applied mathematics and statistical physics in the material science of microheterogeneous media. Uniquely, it offers a useful demonstration of the systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature.
Additional text
From the reviews:
"A new addition to the mathematical theory of heterogeneous media, this book presents an overview of some standard methods for estimating or bounding overall properties, together with an extensive exposition of the author’s multiparticle effective field method (MEFM) … . There are 18 chapters in over 600 pages with 1240 references … bringing the reader’s attention to the work of Russian authors. The monograph should serve as a useful reference to researchers in science and engineering disciplines concerned with analysis and design of composite materials." (George J. Dvorak, Mathematical Reviews, Issue 2008 g)
"This book deals with a detailed analysis of heterogeneous materials with special emphasis on composite materials that have ever increasing technological applications. References contain 1240 entries. As such it is invaluable for those working in this field. The author employs mainly statistical methods to analyse such materials which becomes more tractable in view of a large mass of statistical data now available due to sophisticated modern experimental techniques. A lot of materials in the book are based on the author’s own research works.” (Erdogan S. Suhubi, Zentralblatt MATH, Vol. 1133 (11), 2008)
Report
From the reviews:
"A new addition to the mathematical theory of heterogeneous media, this book presents an overview of some standard methods for estimating or bounding overall properties, together with an extensive exposition of the author's multiparticle effective field method (MEFM) ... . There are 18 chapters in over 600 pages with 1240 references ... bringing the reader's attention to the work of Russian authors. The monograph should serve as a useful reference to researchers in science and engineering disciplines concerned with analysis and design of composite materials." (George J. Dvorak, Mathematical Reviews, Issue 2008 g)
"This book deals with a detailed analysis of heterogeneous materials with special emphasis on composite materials that have ever increasing technological applications. References contain 1240 entries. As such it is invaluable for those working in this field. The author employs mainly statistical methods to analyse such materials which becomes more tractable in view of a large mass of statistical data now available due to sophisticated modern experimental techniques. A lot of materials in the book are based on the author's own research works." (Erdogan S. Suhubi, Zentralblatt MATH, Vol. 1133 (11), 2008)
