Introduction to the Network Approximation Method for Materials Modeling

By: Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov

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Hardcover | 13 December 2012

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Hardcover
258 Pages

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23.39 x 15.6 x 1.91

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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.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Mathematical Modelling Engineering & Technology Technology in General Engineering in General Science Chemistry Mechanical Engineering & Materials Materials Science Mechanics of Solids

Physics Mathematical Physics Mechanics of Fluids

Preface
Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials
Background and motivation for introduction of network models
Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions
Numerics for percolation and polydispersity via network models
The network approximation theorem for an infinite number of bodies
Network method for nonlinear composites
Network approximation for potentials of disks
Application of complex variables method
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Introduction to the Network Approximation Method for Materials Modeling

At a Glance

Hardcover

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