Buch, Englisch, Band 16, 703 Seiten, Format (B × H): 183 mm x 241 mm, Gewicht: 1428 g
Microstructure and Macroscopic Properties
Buch, Englisch, Band 16, 703 Seiten, Format (B × H): 183 mm x 241 mm, Gewicht: 1428 g
Reihe: Interdisciplinary Applied Mathematics
ISBN: 978-0-387-95167-6
Verlag: Springer US
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffkunde, Materialwissenschaft: Forschungsmethoden
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffprüfung
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
Weitere Infos & Material
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.
