Topics in the Mathematical Modelling of Composite Materials

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Cherkaev, Andrej V. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Kohn, Robert (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Modern Birkhäuser Classics,
• Θέματα: Mathematical models.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Mathematical Modeling and Industrial Mathematics.; Applications of Mathematics.; Computational Science and Engineering.

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...

Πίνακας περιεχομένων:

• 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.