Research Catalog
Plates, laminates, and shells : asymptotic analysis and homogenization
- Title
- Plates, laminates, and shells : asymptotic analysis and homogenization / T. Lewiński, J.J. Telega.
- Author
- Lewiński, T.
- Publication
- River Edge, NJ : World Scientific, [2000], ©2000.
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Request in advance | QA935 .L39 1999 | Off-site |
Holdings
Details
- Additional Authors
- Telega, Józef Joachim.
- Description
- xvii, 739 pages : illustrations; 23 cm.
- Series Statement
- Series on advances in mathematics for applied sciences ; vol. 52
- Uniform Title
- Series on advances in mathematics for applied sciences ; v. 52.
- Subjects
- Bibliography (note)
- Includes bibliographical references and index.
- Contents
- Ch. I. Mathematical Preliminaries. 1. Function spaces, convex analysis, variational convergence -- Ch. II. Elastic Plates. 2. Three-dimensional analysis and effective models of composite plates. 3. Thin plates in bending and stretching. 4. Nonlinear behavior of plates. 5. Moderately thick transversely symmetric plates. 6. Sandwich plates with soft core. 7. Comments and bibliographical notes -- Ch. III. Elastic Plates with Cracks. 8. Unilateral cracks in thin plates. 9. Unilateral cracks in plates with transverse shear deformation. 10. Part-through the thickness cracks. 11. Stiffness loss of cracked laminates. 12. Comments and bibliographical notes -- Ch. IV. Elastic-Perfectly Plastic Plates. 13. Mathematical complements, homogenization of functionals with linear growth. 14. Homogenization of plates loaded by forces and moments. 15. Comments and bibliographical notes -- Ch. V. Elastic and Plastic Shells. 16. Linear and nonlinear models of elastic shells.
- 17. Homogenization of stiffnesses of thin periodic elastic shells. Linear approach. 18. Homogenized properties of thin periodic elastic shells undergoing moderately large rotations around tangents. 19. Perfectly plastic shells. 20. Comments and bibliographical notes -- Ch. VI. Application of Homogenization Methods in Optimum Design of Plates and Shells. 21. Mathematical complements. 22. Two-phase plate in bending. Hashin-Shtrikman bounds. 23. Two-phase plate. Hashin-Shtrikman bounds for the in-plane problem. 24. Explicit formulae for effective bending stiffnesses and compliances of ribbed plates. 25. Explicit formulae for effective membrane stiffnesses and compliances of ribbed plates. 26. Thin bending two-phase plates of minimum compliance. 27. Minimum compliance problem for thin plates of varying thickness: application of Young measures. 28. Thin shells of minimum compliance. 29. Truss-like Michell continua. 30. Comments and bibliographical notes.
- ISBN
- 9810232063
- LCCN
- 99040193
- OCLC
- ocm42080130
- SCSB-3913337
- Owning Institutions
- Columbia University Libraries