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
Language: English
Published: River Edge, NJ : World Scientific, ©2000.
Series: Series on advances in mathematics for applied sciences ; v. 52.
Subjects:
Elastic plates and shells.
Homogenization (Differential equations)
elektronické knihy
electronic books
ISBN: 9781615838714
1615838716
9789812813695
9812813691
9810232063
9789810232061
Physical Description: 1 online resource (xvii, 739 pages) : illustrations.

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Table of contents

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035 |a (OCoLC)708084553  |z (OCoLC)828180248  |z (OCoLC)858444445 
100 1 |a Lewiński, T. 
245 1 0 |a Plates, laminates, and shells :  |b asymptotic analysis and homogenization /  |c T. Lewiński, J.J. Telega. 
260 |a River Edge, NJ :  |b World Scientific,  |c ©2000. 
300 |a 1 online resource (xvii, 739 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Series on advances in mathematics for applied sciences ;  |v v. 52 
504 |a Includes bibliographical references and index. 
505 0 0 |g Ch. I.  |t Mathematical Preliminaries.  |g 1.  |t Function spaces, convex analysis, variational convergence --  |g Ch. II.  |t Elastic Plates.  |g 2.  |t Three-dimensional analysis and effective models of composite plates.  |g 3.  |t Thin plates in bending and stretching.  |g 4.  |t Nonlinear behavior of plates.  |g 5.  |t Moderately thick transversely symmetric plates.  |g 6.  |t Sandwich plates with soft core.  |g 7.  |t Comments and bibliographical notes --  |g Ch. III.  |t Elastic Plates with Cracks.  |g 8.  |t Unilateral cracks in thin plates.  |g 9.  |t Unilateral cracks in plates with transverse shear deformation.  |g 10.  |t Part-through the thickness cracks.  |g 11.  |t Stiffness loss of cracked laminates.  |g 12.  |t Comments and bibliographical notes --  |g Ch. IV.  |t Elastic-Perfectly Plastic Plates.  |g 13.  |t Mathematical complements, homogenization of functionals with linear growth.  |g 14.  |t Homogenization of plates loaded by forces and moments.  |g 15.  |t Comments and bibliographical notes --  |g Ch. V.  |t Elastic and Plastic Shells.  |g 16.  |t Linear and nonlinear models of elastic shells. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a 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. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Elastic plates and shells. 
650 0 |a Homogenization (Differential equations) 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Telega, Józef Joachim. 
776 0 8 |i Print version:  |a Lewiński, T.  |t Plates, laminates, and shells.  |d River Edge, NJ : World Scientific, ©2000  |z 9810232063  |w (DLC) 99040193  |w (OCoLC)42080130 
830 0 |a Series on advances in mathematics for applied sciences ;  |v v. 52. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpSAMASVP4/series-on-advances?kpromoter=marc  |y Full text 

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