Introduction to the network approximation method for materials modeling /

"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...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Berlyand, Leonid, 1957-
Other Authors: Kolpakov, A. G., Novikov, A. (Alexei)
Format: Electronic eBook
Language:Inglés
Published: Cambridge : Cambridge University Press, 2013.
Series:Encyclopedia of mathematics and its applications.
Subjects:
Composite materials > Mathematical models.
Graph theory.
Differential equations, Partial.
Duality theory (Mathematics)
Composites > Modèles mathématiques.
Équations aux dérivées partielles.
Principe de dualité (Mathématiques)
MATHEMATICS > General.
TECHNOLOGY & ENGINEERING > Material Science.
Ecuaciones difrenciales
Dualidad, Teoría de (Matemáticas)
Composite materials > Mathematical models
Differential equations, Partial
Graph theory
Online Access:Texto completo
Table of Contents:
  • 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 bodies
  • Application of the method of complex variables.

Similar Items