Plates, laminates, and shells asymptotic analysis and homogenization

This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear she...

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Bibliographic Details
Main Author Lewiński, T.
Other Authors Telega, Józef Joachim
Format eBook
LanguageEnglish
Published River Edge, NJ : World Scientific, c2000.
SeriesSeries on advances in mathematics for applied sciences ; v. 52.
Subjects
Elastic plates and shells.
Homogenization (Differential equations)
elektronické knihy
electronic books
Online AccessFull text
ISBN9781615838714
9789812813695
9789810232061
Physical Description1 online zdroj (xvii, 739 p.) : ill.

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Table of 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.

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