The interdisciplinary subject of random heterogeneous materials has experienced DRM-free; Included format: PDF; ebooks can be used on all reading devices of characterizing the microstructures and macroscopic properties of the widely. The study of random heterogeneous materials is an exciting and rapidly growing multidisciplinary endeavor. Microstructure and Macroscopic Properties. The study of random heterogeneous materials is an exciting and rapidly growing the microstructures and macroscopic properties of the widely diverse types of.
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1. INTRODUCTION. In the most general sense, a heterogeneous material consists of mains possess macroscopic properties) but much smaller than the tive properties of two-phase random heterogeneous media shall be reviewed. focus exclusively on improved bounds and microstructure character- ization, and. Random Heterogeneous Materials: Microstructure and Macroscopic Properties. By Salvatore Torquato Publisher: Springer-Verlag (). Short title: Microstructure and transport properties of collagen . of random heterogeneous materials [23, 24, 25, 26] could be  Torquato S Random Heterogeneous Materials: Microstructure and Macroscopic.
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Lists with This Book. This book is not yet featured on Listopia. Community Reviews. Showing Rating details. Sort order. One of the best reference book on heterogeneous media, homogenization and physical properties.
Rick rated it really liked it May 13, Amir Shahmoradi rated it it was amazing Jul 12, Dorival marked it as to-read Jun 30, Steve added it Feb 10, Xfgou added it May 17, The entire expression within the brackets of Eq.
The plus signs in the third, fourth and fifth terms of Eq. The right side of Eq.
In Eq. Description The study of random heterogeneous materials is an exciting and rapidly growing multidisciplinary endeavor. This field demands a unified rigorous means of characterizing the microstructures and macroscopic properties of the widely diverse types of heterogeneous materials that abound in nature and synthetic products.
This book is the first of its kind to provide such an approach. Emphasis is placed on foundational theoretical methods that can simultaneously yield results of practical utility.
The first part of the book deals with the quantitative characterization of the microstructure of heterogeneous materials. The second part of the book treats a wide variety of macroscopic transport, electromagnetic, mechanical, and chemical properties of heterogeneous materials and describes how they are linked to the microstructure of model and real materials.
Contemporary topics covered include the statistical mechanics of many-particle systems, the canonical n -point correlation function, percolation theory, computer-simulation methods, image analyses and reconstructions of real materials, homogenization theory, exact property predictions, variational bounds, expansion techniques, and cross-property relations. This clear and authoritative volume will be of particular interest to graduate students and researchers in applied mathematics, physics, chemistry, materials sciences, engineering, geophysics, and biology.
Moreover, the book is self-contained and approachable by the nonspecialist. Among other honors, he was a John Simon Guggenheim Fellow in He has published over two hundred journal articles across a variety of scientific disciplines. The book is pages, containing illustrations and over references, and is now available.
Skip to content Skip to primary sidebar. Random Heterogeneous Materials: Springer-Verlag Book Intro. Excerpts from Chapter 1: The determination of the transport, electromagnetic and mechanical properties of heterogeneous materials has a long and venerable history, attracting the attention of some of the luminaries of science, including Maxwell , Lord Rayleigh and Einstein In his Treatise on Electricity and Magnetism, Maxwell derived an expression for the effective conductivity of a dispersion of spheres that is exact for dilute sphere concentrations.
Lord Rayleigh developed a formalism to compute the effective conductivity of regular arrays of spheres that is used to this day.
Work on the mechanical properties of heterogeneous materials began with the famous paper by Einstein in which he determined the effective viscosity of a dilute suspension of spheres. Since the early work on the physical properties of heterogeneous materials, there has been an explosion in the literature on this subject because of the rich and challenging fundamental problems it offers and its manifest technological importance.
All these circumstances will mean great use of this volume by researchers in different scientific fields, interested in the study of heterogeneous materials, as well as in the preparation of courses for graduate students of corresponding specialties.
In my opinion, every serious researcher and advanced graduate student who is interested in heterogeneous materials should have a copy of this book. Stoyan, Metrika, December The author is in a very good position to achieve these goals, since he is responsible for much of the recent progress in this subject area, and because of his interest in the study of complex systems.
Furthermore, much of the material has not appeared in any previous book on the subject. This is a well-written monograph with a high degree of originality. The pedagogy is strong, with most of the mathematical derivations elaborated in detail and without excessive verbiage.
Much of the book is written so as to be accessible to specialists and advanced students. The mathematical background required of the reader is not extensive. In fact, a number of open research questions are outlined in the course of presentation. It will be welcomed by the physical and materials science communities. This work can serve as a foundation for those who wish to design random heterogeneous structures with specified bulk properties.
A major contribution of the book is to clearly and rigorously explain the statistical characterization of the microstructure of these materials An extensive reference list is provided.
Random Heterogeneous Materials Haslach Jr. The book is well written and might be very useful to researchers working in the area of composite materials and porous media. I, therefore, strongly recommend to personal users and to the institute libraries to keep the book on their shelves.
A large number of exact results, too many to summarize here, as well as upper and lower bounds for the effective properties are provided together with an extensive list of references 30 pages.