Salvatore Torquato

Random Heterogeneous Materials

Microstructure and Macroscopic Properties

• Broschiertes Buch

Produktbeschreibung

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 fromcovering 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.

Produktdetails

• Interdisciplinary Applied Mathematics 16
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4757-6357-7
• Softcover reprint of the original 1st ed. 2002
• Seitenzahl: 728
• Erscheinungstermin: 22. März 2013
• Englisch
• Abmessung: 254mm x 178mm x 39mm
• Gewicht: 1376g
• ISBN-13: 9781475763577
• ISBN-10: 1475763573
• Artikelnr.: 39560352

Inhaltsangabe

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.

Rezensionen

From the reviews: MATHEMATICAL REVIEWS "This interdisciplinary book is an excellent example of the modern scope of issues of interest to many sciences, namely applied mathematics, physics, chemistry, material science, engineering, geology and biology...This book is to a high degree self-contained...It is the first of its kind to provide a unified rigorous means of characterizing the microstructure and macroscopic properties of the wide class of heterogeneous materials which are distinct in nature. 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."