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 of a...

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Détails bibliographiques
Auteur principal: Berlyand, Leonid, 1957-
Collectivité auteur: ebrary, Inc
Autres auteurs: Kolpakov, A. G., Novikov, A. (Alexei)
Format: Électronique eBook
Langue:anglais
Publié: Cambridge : Cambridge University Press, 2013.
Collection:Encyclopedia of mathematics and its applications
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Accès en ligne:An electronic book accessible through the World Wide Web; click to view
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Table des matières:
  • Machine generated contents note: 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.