Topics in the Mathematical Modelling of Composite Materials

Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials. This activity brings together a number of related themes, including: (1) the use of weak convergence as a rigorous yet general language for the d...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Modern Birkhäuser Classics,
Témata:
Mathematical models.
Applied mathematics.
Engineering mathematics.
Computer mathematics.
ISBN:9783319971841
ISSN:2197-1803
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Obsah:
  • 1. On the Control of Coefficients in Partial Differential Equations
  • 2. Estimations of Homogenized Coefficients
  • 3. H- Convergence
  • 4. A Strange Term Coming from Nowhere
  • 5. Design of Composite Plates of Extremal Rigidity
  • 6. Calculus of Variations and Homogenization
  • 7. Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements
  • Appendix: Local distribution of a MHD Channel in the case of optimal distribution of the resistivity of the working medium
  • 8. Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density.

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