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Applied Analysis of Composite Media
Analytical and Computational Results for Materials Scientists and Engineers
1st Edition - October 18, 2019
Authors: Piotr Drygaś, Simon Gluzman, Vladimir Mityushev, Wojciech Nawalaniec
Language: English
Paperback ISBN:9780081026700
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eBook ISBN:9780081027325
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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 po…Read more
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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.
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 methods
Includes critical phenomena in transport and elastic problems for composites and porous media
Applies computational methodology to biological structures
Presents computer protocols/algorithms that can be used for materials design
Materials scientists and engineers involved in the development of composite materials; applied mathematicians and physicists who develop analytical and numerical methods to model problems of elasticity and fluid mechanics in materials; and researchers working at the interface with biology and materials
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
No. of pages: 372
Language: English
Edition: 1
Published: October 18, 2019
Imprint: Woodhead Publishing
Paperback ISBN: 9780081026700
eBook ISBN: 9780081027325
PD
Piotr Drygaś
P. Drygas, Associate Professor, Department of Mathematical Analysis, University of Rzeszow, Poland
Research interests: mathematical modelling, differential equation and statistics.
Affiliations and expertise
Associate Professor, Department of Mathematical Analysis, University of Rzeszow, Poland
SG
Simon Gluzman
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.
Affiliations and expertise
Independent Researcher, Toronto, Canada
VM
Vladimir Mityushev
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.
.
Affiliations and expertise
Institute of Mathematics, Faculty of Computer Science and Telecommunications, Cracow University of Technology, Kraków, Poland
WN
Wojciech Nawalaniec
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.
Affiliations and expertise
Associate Professor, Applied Mathematics, Pedagogical University of Cracow, Krakow, Poland
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