Random Heterogeneous Materials | Taschenbuch

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Cover: 9781475763577 | Random Heterogeneous Materials | Salvatore Torquato | Taschenbuch

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Sprache: Englisch

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Beschreibung

The interdisciplinary subject of random heterogeneous materials has experienced remarkable growth since the publication of the well-known monograph Statistical Con tinuum Theories by Beran ( 1968). Many of these advances, especially those concerning the statistical characterization of the microstructure and its effect on the physical prop erties of the material, have not been treated fully in any book. One of the intents of the present book is to fill this gap. This book also distinguishes itself in that it provides a unified rigorous framework to characterize the microstructures and macroscopic properties of the widely diverse types of heterogeneous materials found in nature and synthetic products. Emphasis is placed on providing foundational theoretical methods that can simultaneously yield results of practical utility. This book treats a wide breadth of topics, but the choice of subjects naturally reflects my own interests. The sheer enormity of the field has prevented me from covering many important topics. I apologize to those colleagues, known and unknown, who may not find enough of their own work cited in the ensuing pages.

Zusammenfassung

A heterogeneous material consists of domains of different materials or the same material in different states. This book provides graduate students and researchers in applied mathematics, physics, chemistry, materials science and engineering with a unified approach of treating the microstructure and effective properties of heterogeneous media. Although it covers the latest advances in the field, it is written in an accessible style and will be sufficiently well-contained for the non-expert wishing to learn the field.

Inhaltsverzeichnis

1 Motivation and Overview.- 2 Microstructural Descriptors.- 3 Statistical Mechanics of Many-Particle Systems.- 4 Unified Approach to Characterize Microstructure.- 5 Monodisperse Spheres.- 6 Polydisperse Spheres.- 7 Anisotropic Media.- 8 Cell and Random-Field Models.- 9 Percolation and Clustering.- 10 Some Continuum Percolation Results.- 11 Local Volume Fraction Fluctuations.- 12 Computer Simulations, Image Analyses, and Reconstructions.- 13 Local and Homogenized Equations.- 14 Variational Principles.- 15 Phase-Interchange Relations.- 16 Exact Results.- 17 Single-Inclusion Solutions.- 18 Effective-Medium Approximations.- 19 Cluster Expansions.- 20 Exact Contrast Expansions.- 21 Rigorous Bounds.- 22 Evaluation of Bounds.- 23 Cross-Property Relations.- A Equilibrium Hard-Disk Program.- B Interrelations Among Two- and Three-Dimensional Moduli.- References.

Erscheinungsjahr:	2013
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	728
Reihe:	Interdisciplinary Applied Mathematics
Inhalt:	xxi 703 S. 111 s/w Illustr. 703 p. 111 illus.
ISBN-13:	9781475763577
ISBN-10:	1475763573
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Torquato, Salvatore
Auflage:	Softcover reprint of the original 1st ed. 2002
Hersteller:	Springer New York Springer US, New York, N.Y. Interdisciplinary Applied Mathematics
Maße:	254 x 178 x 39 mm
Von/Mit:	Salvatore Torquato
Erscheinungsdatum:	22.03.2013
Gewicht:	1,344 kg

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