Random Heterogeneous Materials Microstructure and Macroscopic Properties
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The overall aim of this book is to provide a rigorous means to characterize the microstructure and properties of heterogeneous materials that can simultaneously yield results of practical utility. A unified treatment of both microstructure and properties is emphasized. The book is divided into two parts. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical, computer-simulation and imaging techniques. Emphasis is placed on theoretical methods. Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure. This is accomplished using rigorous methods. Wherever possible,…
Copyright year: 2002
Publication date: 10/25/2005
Size: 7.25" wide x 9.25" long x 1.50" tall
|Motivation and overview|
|Statistical mechanics of particle systems|
|Cell and random-field models|
|Percolation and clustering|
|Some continuum percolation results|
|Local volume fraction fluctuation|
|Computer simulation and image analysis|
|Microstructure property connections|
|Local and homogenized equations|
|Effective medium approximations|
|Exact contrast expansions|
|Evaluation of bounds|
|Equilibrium Hard disk program|
|Interrelations among 2-3D moduli|