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Capacity and Transport in Contrast Composite Structures - A. A. Kolpakov, A. G. Kolpakov

Capacity and Transport in Contrast Composite Structures

Asymptotic Analysis and Applications
Buch | Hardcover
336 Seiten
2009
Crc Press Inc (Verlag)
978-1-4398-0175-8 (ISBN)
CHF 92,50 inkl. MwSt
A mathematical discussion of phenomena related to natural sciences and engineering, this book presents fresh and modified asymptotic methods for real-world applications in composite materials development. It covers historical developments and progress in mathematical calculations, computer techniques, and finite element computer programs.
Is it possible to apply a network model to composites with conical inclusions?

How does the energy pass through contrast composites?

Devoted to the analysis of transport problems for systems of densely packed, high-contrast composite materials, Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications answers questions such as these and presents new and modified asymptotic methods for real-world applications in composite materials development.

A mathematical discussion of phenomena related to natural sciences and engineering, this book covers historical developments and new progress in mathematical calculations, computer techniques, finite element computer programs, and presentation of results of numerical computations.

The "transport problem"—which is described with scalar linear elliptic equations—implies problems of thermoconductivity, diffusion, and electrostatics. To address this "problem," the authors cover asymptotic analysis of partial differential equations, material science, and the analysis of effective properties of electroceramics. Providing numerical calculations of modern composite materials that take into account nonlinear effects, the book also:






Presents results of numerical analysis, demonstrating specific properties of distributions of local fields in high-contrast composite structures and systems of closely placed bodies



Assesses whether total flux, energy, and capacity exhaust characteristics of the original continuum model



Illustrates the expansion of the method for systems of bodies to highly filled contrast composites

This text addresses the problem of loss of high-contrast composites, as well as transport and elastic properties of thin layers that cover or join solid bodies. The material presented will be particularly useful for applied mathematicians interested in new methods, and engineers dealing with prospective materials and design methods.

A.A. Kolpakov works in the Department of Mathematics and Mechanics at Novosibirsk State University, Russia and Université de Fribourg, Fribourg Pérolles, Switzerland. A.G. Kolpakov works as Marie Curie Fellow at Università degli Studi di Cassino, Italy and Siberian State University of Telecommunications and Informatics, Russia.

IDEAS AND METHODS OF ASYMPTOTIC ANALYSIS AS APPLIED TO TRANSPORT IN COMPOSITE STRUCTURES. NUMERICAL ANALYSIS OF LOCAL FIELDS IN A SYSTEM OF CLOSELY PLACED BODIES. ASYMPTOTIC BEHAVIOR OF CAPACITY OF A SYSTEM OF CLOSELY PLACED BODIES. TAMM SHIELDING. NETWORK APPROXIMATION. NETWORK APPROXIMATION FOR POTENTIALS OF CLOSELY PLACED BODIES. ANALYSIS OF TRANSPORT PROPERTIES OF HIGHLY FILLED CONTRAST COMPOSITES USING THE NETWORK APPROXIMATION METHOD. EFFECTIVE TUNABILITY OF HIGH-CONTRAST COMPOSITES. EFFECTIVE LOSS OF HIGH-CONTRAST COMPOSITES. TRANSPORT AND ELASTIC PROPERTIES OF THIN LAYERS.

Erscheint lt. Verlag 24.11.2009
Zusatzinfo 14 Tables, black and white; 83 Illustrations, black and white
Verlagsort Bosa Roca
Sprache englisch
Maße 178 x 254 mm
Gewicht 1550 g
Themenwelt Mathematik / Informatik Mathematik
Technik Bauwesen
Technik Maschinenbau
Technik Umwelttechnik / Biotechnologie
ISBN-10 1-4398-0175-4 / 1439801754
ISBN-13 978-1-4398-0175-8 / 9781439801758
Zustand Neuware
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