Topics in the Mathematical Modelling of Composite Materials

Topics in the Mathematical Modelling of Composite Materials edited by Andrej V. Cherkaev, Robert Kohn.

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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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Cherkaev, Andrej V. (Editor), Kohn, Robert (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
Edition:1st ed. 2018.
Series:Modern Birkhäuser Classics,
Springer eBook Collection.
Subjects:
Mathematical models.
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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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