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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berlyand, Leonid, 1957-
Otros Autores: Kolpakov, A. G., Novikov, A. (Alexei)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2013.
Colección:Encyclopedia of mathematics and its applications.
Temas:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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