Introduction to the network approximation method for materials modeling / Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov.
"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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| Year of Publication: | 2013 |
| Language: | English |
| Series: | Encyclopedia of mathematics and its applications
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| Online Access: | |
| Physical Description: | xiv, 243 p. :; ill. |
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Table of Contents:
- 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.