Doina Cioranescu, Jeannine Saint Jean Paulin

Homogenization of Reticulated Structures (eBook, PDF)

• Format: PDF

Produktbeschreibung

Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry. This mathematically rigorous treatment of lattice-type structures will appeal to both applied mathematicians, as well as engineers looking for a solid mathematical foundation of the methodology.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 346
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461221586
• Artikelnr.: 44052861

Inhaltsangabe

1 Homogenization in Perforated Media.- 1. The General Method of Homogenization.- 2. The Homogeneous Neumann Problem.- 3. Other Boundary Value Problems.- 2 Lattice-Type Structures.- 1. The Two-Dimensional Case.- 2. The Three-Dimensional Case.- 3. Complex Structures and Loss of Ellipticity.- 4. Other Boundary Conditions.- 3 Thermal Problems for Gridworks.- 1. Statement of the Problem.- 2. Case e = k?.- 3. Case ? ? e.- 4. Case e ? ?.- 4 Elasticity Problems for Gridworks.- 1. Statement of the Problem.- 2. Limit Plate Behavior.- 3. Homogenization Result.- 4. Final Explicit Result and Loss of Ellipticity.- 5. Case ? ? e.- 6. Plates Without Loss of Ellipticity.- 7. Time-Dependent Plates Models: An Experimental Result.- 5 Thermal Problems for Thin Tall Structures.- 1. Statement of the Problem.- 2. Case e = ??.- 3. Case ? ? e.- 4. Case e ? ?.- 5. Comparison of Limit Systems and Solutions.- 6. Numerical Results for a Two-Dimensional Case.- 7. Generalization for a Three-Dimensional Structure.- 6 Elasticity Problems for Thin Tall Structures.- 1. Statement of the Problem.- 2. Limit for e ? 0.- 3. Limit for e ? 0: Homogenization.- 4. Limit for ? ? 0.- 5. Applications to Other Structures.- Final Comments.- References.