Capacity and Transport in Contrast Composite Structures

1. Auflage 2009
ISBN: 978-1-4398-0175-8
Verlag: CRC Press

Buch, Englisch, 336 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 703 g

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.

Zielgruppe

Applied mathematicians interested in asymptotic problems for partial differential equations; specialists in composite materials, composite ceramics and materials for control devices, and coatings and adhesion; physicists interested in asymptotic problems for electrostatic problems; graduate and postgraduate students in applied mathematics, electrical and electronic control devices, and material sciences.

Autoren/Hrsg.

Kolpakov, A. A.

Fachgebiete

• Technische Wissenschaften Bauingenieurwesen Konstruktiver Ingenieurbau, Baustatik

Inhaltsverzeichnis

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.

Über Autor(innen)

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.