Applied Analysis of Composite Media: Analytical and Computational Results for Materials Scientists and Engineers

Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media.

Provides a uniform, computational methodology that can be applied to the main classes of transport and elastic problems by using a combination of exact formulae, advanced simulations and asymptotic methodsIncludes critical phenomena in transport and elastic problems for composites and porous mediaApplies computational methodology to biological structures Presents computer protocols/algorithms that can be used for materials design

1. Introduction to computational methods and the theory of composites 2. Algorithms, computations and structural information 3. Elasticity of hexagonal array of cylinders 4. Random elastic composites with circular inclusions 5. Effective conductivity of fibrous composites with cracks on interface 6. Effective conductivity of a random suspension of highly conducting spherical particles 7. Permeability of porous media 8. Simple fluids, suspensions and selected random systems