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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.
List of contents
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
About the author
P. Drygas, Associate Professor, Department of Mathematical Analysis, University of Rzeszow, Poland
Research interests: mathematical modelling, differential equation and statistics.Simon Gluzman is presently an Independent Researcher (Toronto, Canada) and formerly a Research Associate at PSU in Applied Mathematics. He is interested in Re-summation methods in theory of random and regular composites and the method of self-similar and rational approximants.Vladimir Mityushev is the Professor of Cracow University of Technology, a leader of the research group www.materialica.plus. He is interested in mathematical modeling and computer simulations, Industrial mathematics and boundary value problems and their applications.
.Wojciech Nawalaniec is an Associate Professor in applied mathematics at Pedagogical University of Cracow, Kraków. He is interested in Computational methods, such as symbolic computation, mathematical modeling and algorithms.
