Singular Problems in Shell Theory

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2010

3642138144 / 9783642138140

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Thin shells are three-dimensional structures with a dimension (the thickness) small with respect to the two others.Such thin structures are widely used in automobileandaviation industries,or in civil engineering, because they provide animportantsti?ness, due to theircurvature,with a small weight. Fig. 0.1. Airbus A380 Fig. 0.2. Hemispherical roof (Marseille, France) One ofthechallenges is often to reduce the weight (andconsequently the thickness)oftheshells, preservingtheirsti?ness.So that it is essential to have 1 accuratemodelsforthinandevenverythinshells ,andtobeabletocomputethe displacements resultingfromagivenloading.In particular, singularities leading to fractures in some cases must be absolutely predicted a priori and ofcourse avoided (see Fig.0.3 forexample). Since the pioneeringmodels of Novozhilov-Donnell [81] and Koiter [65][66], numerous works havebeen devoted to establish linear and non linear elastic shell model usingdirect orsurfacic approaches [18][25][100].More recently, the asymptoticmethods [87] havebeen used, to try tojustify rigorously, fromthe three-dimensional equations, the shell models obtained by direct approaches - lying onapriori assumption, andto construct new models [54][55]. This way, 1 Very thin shells are present in certain domains of industry, as plastic ?lms for pa- aging or for electronics, streched sails, or even very thin metal sheets obtained by drawing. E. Sanchez-Palencia et al.: Singular Problems in Shell Theory, LNACM 54, pp. 1-11.…

Title
Singular Problems in Shell Theory
Author
Fabien Bechet, Evariste Sanchez-Palencia, Olivier Millet
Publisher
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Publication year
2010
Condition
New
Binding
Hardback
Language
English
ISBN 10
3642138144
ISBN 13
9783642138140
Dimensions
15.6 x 1.75 x 23.39 cm

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