Introduction to the Network Approximation Method for Materials Modeling
1st Edition
Published on 6. December 2012
255 pages
978-1-139-84833-6 (ISBN)
Description
In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of network approximation for PDE with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
10 Halftones, unspecified; 55 Line drawings, unspecified
File size
6683,70 MB
ISBN-13
978-1-139-84833-6 (9781139848336)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Leonid Berlyand | Alexander G. Kolpakov | Alexei Novikov
Introduction to the Network Approximation Method for Materials Modeling
Book
12/2012
Cambridge University Press
€104.60
Shipment within 15-20 days
Persons
Leonid Berlyand is Professor of Mathematics and a member of the Materials Research Institute at Pennsylvania State University. Alexander G. Kolpakov holds a long term Senior Marie Curie Fellow position at the University of Cassino, Italy. He is also a Professor at the Siberian State University of Telecommunications and Informatics, Novosibirsk, Russia. A. Novikov is Associate Professor of Mathematics at Pennsylvania State University.
Content
Preface; 1. Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials; 2. Background and motivation for introduction of network models; 3. Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions; 4. Numerics for percolation and polydispersity via network models; 5. The network approximation theorem for an infinite number of bodies; 6. Network method for nonlinear composites; 7. Network approximation for potentials of disks; 8. Application of complex variables method; Bibliography; Index.
