Singular Problems in Shell Theory - Computing and Asymptotics (Hardcover, Edition.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Applied and Computational Mechanics, 54
Release date:	August 2010
First published:	August 2010
Authors:	Evariste Sanchez-Palencia • Olivier Millet • Fabien Bechet
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	266
Edition:	Edition.
ISBN-13:	978-3-642-13814-0
Categories:	Books > Professional & Technical > Civil engineering, surveying & building > General Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Transport technology > Automotive technology > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	3-642-13814-4
Barcode:	9783642138140

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