Author | Cioranescu, Doina. author |
---|---|
Title | Homogenization of Reticulated Structures [electronic resource] / by Doina Cioranescu, Jeannine Saint Jean Paulin |
Imprint | New York, NY : Springer New York, 1999 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2158-6 |
Descript | XX, 346 p. online resource |
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