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Singular problems in shell theory : computing and asymptotics

Author: E Sanchez-Palencia; Olivier Millet; Fabien Béchet
Publisher: Berlin ; Heidelberg : Springer, ©2010.
Series: Lecture notes in applied and computational mechanics, v. 54.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
It 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Singular problems in shell theory.
Berlin ; Heidelberg : Springer, ©2010
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: E Sanchez-Palencia; Olivier Millet; Fabien Béchet
ISBN: 9783642138157 3642138152
OCLC Number: 676697692
Description: 1 online resource (xiii, 265 pages) : illustrations (some color).
Contents: Geometric 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).
Series Title: Lecture notes in applied and computational mechanics, v. 54.
Responsibility: Evariste Sanchez-Palencia, Olivier Millet, Fabien Béchet.
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Abstract:

This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems,  Read more...

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From the reviews: "The book under review is devoted to a mathematically rigorous study of singularities in linear elastic shell theory which appear for very small thickness. ... This well-written Read more...

 
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