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Cover: 9780387951676 | Random Heterogeneous Materials | Salvatore Torquato | Buch | xxi
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Random Heterogeneous Materials
Microstructure and Macroscopic Properties
Buch von Salvatore Torquato
Sprache: Englisch

123,95 €*

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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.
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.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 728
Reihe: Interdisciplinary Applied Mathematics
Inhalt: xxi
703 S.
111 s/w Illustr.
703 p. 111 illus.
ISBN-13: 9780387951676
ISBN-10: 0387951679
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Torquato, Salvatore
Auflage: 1st ed. 2001. Corr. 2nd printing 2001
Hersteller: Springer US
Springer New York
Interdisciplinary Applied Mathematics
Maße: 241 x 183 x 45 mm
Von/Mit: Salvatore Torquato
Erscheinungsdatum: 19.10.2001
Gewicht: 1,428 kg
preigu-id: 111779256
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.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 728
Reihe: Interdisciplinary Applied Mathematics
Inhalt: xxi
703 S.
111 s/w Illustr.
703 p. 111 illus.
ISBN-13: 9780387951676
ISBN-10: 0387951679
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Torquato, Salvatore
Auflage: 1st ed. 2001. Corr. 2nd printing 2001
Hersteller: Springer US
Springer New York
Interdisciplinary Applied Mathematics
Maße: 241 x 183 x 45 mm
Von/Mit: Salvatore Torquato
Erscheinungsdatum: 19.10.2001
Gewicht: 1,428 kg
preigu-id: 111779256
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