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E-book
Author Lewiński, T.

Title Plates, laminates, and shells : asymptotic analysis and homogenization / T. Lewiński, J.J. Telega
Published River Edge, NJ : World Scientific, ©2000

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Description 1 online resource (xvii, 739 pages) : illustrations
Series Series on advances in mathematics for applied sciences ; v. 52
Series on advances in mathematics for applied sciences ; v. 52.
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
Summary 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 shell models. A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for engineering practice, such as: statical analysis of highly nonhomogeneous plates and shells for which common discretization techniques fail to be efficient, assessing stiffness reduction of cracked [00n/900m]s laminates, and assessing ultimate loads for perfectly plastic plates and shells composed of repeated segments. When possible, the homogenization formulas are cast in closed form expressions. The formulas presented in this manner are then used in constructing regularized formulations of the fundamental optimization problems for plates and shells, since the regularization concepts are based on introducing the composite regions for which microstructural properties play the role of new design variables
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Elastic plates and shells.
Homogenization (Differential equations)
SCIENCE -- Mechanics -- General.
SCIENCE -- Mechanics -- Solids.
Elastic plates and shells
Homogenization (Differential equations)
Form Electronic book
Author Telega, Józef Joachim.
ISBN 9781615838714
1615838716
9789812813695
9812813691