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001 u374594
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005 20160812084242.0
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008 100906s2010 gw | s |||| 0|eng d
020 _a9783642138157
_9978-3-642-13815-7
040 _cMX-MeUAM
050 4 _aTA349-359
082 0 4 _a620.1
_223
100 1 _aSanchez-Palencia, Evariste.
_eauthor.
245 1 0 _aSingular Problems in Shell Theory
_h[recurso electrónico] :
_bComputing and Asymptotics /
_cby Evariste Sanchez-Palencia, Olivier Millet, Fabien Béchet.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXIV, 266 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v54
505 0 _aGeometric Formalism of Shell Theory -- Singularities and Boundary Layers in Thin Elastic Shell Theory -- Anisotropic Error Estimates in the Layers -- Numerical Simulation with Anisotropic Adaptive Mesh -- Singularities of Parabolic Inhibited Shells -- Singularities of Hyperbolic Inhibited Shells -- Singularities of Elliptic Well-Inhibited Shells -- Generalities on Boundary Conditions for Equations and Systems: Introduction to Sensitive Problems -- Numerical Simulations for Sensitive Shells -- Examples of Non-inhibited Shell Problems (Non-geometrically Rigid Problems).
520 _aIt is known that deformations of thin shells exhibit peculiarities such as propagation of singularities, edge and internal layers, piecewise quasi inextensional deformations, sensitive problems and others, leading in most cases to numerical locking phenomena under several forms, and very poor quality of computations for small relative thickness. Most of these phenomena have a local and often anisotropic character (elongated in some directions), so that efficient numerical schemes should take them in consideration. This book deals with various topics in this context: general geometric formalism, analysis of singularities, numerical computing of thin shell problems, estimates for finite element approximation (including non-uniform and anisotropic meshes), mathematical considerations on boundary value problems in connection with sensitive problems encountered for very thin shells; and others. Most of numerical computations presented here use an adaptive anisotropic mesh procedure which allows a good computation of the physical peculiarities on one hand, and the possibility to perform automatic computations (without a previous mathematical description of the singularities) on the other. The book is recommended for PhD students, postgraduates and researchers who want to improve their knowledge in shell theory and in particular in the areas addressed (analysis of singularities, numerical computing of thin and very thin shell problems, sensitive problems). The lecture of the book may not be continuous and the reader may refer directly to the chapters concerned.
650 0 _aEngineering.
650 0 _aMechanics.
650 0 _aMaterials.
650 0 _aMechanical engineering.
650 0 _aCivil engineering.
650 1 4 _aEngineering.
650 2 4 _aStructural Mechanics.
650 2 4 _aMechanics.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aCivil Engineering.
650 2 4 _aAutomotive Engineering.
700 1 _aMillet, Olivier.
_eauthor.
700 1 _aBéchet, Fabien.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642138140
830 0 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v54
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-13815-7
596 _a19
942 _cLIBRO_ELEC
999 _c202474
_d202474