| Singular Problems in Shell Theory: Computing and Asymptotics Contributor(s): Sanchez-Palencia, Evariste (Author), Millet, Olivier (Author), Bechet, Fabien (Author) |
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ISBN: 3642138144 ISBN-13: 9783642138140 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: August 2010 |
| Additional Information |
| BISAC Categories: - Technology & Engineering | Engineering (general) - Science | Mechanics - Solids - Technology & Engineering | Civil - General |
| Dewey: 620.1 |
| Series: Lecture Notes in Applied and Computational Mechanics |
| Physical Information: 0.69" H x 6.14" W x 9.21" (1.25 lbs) 266 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |