Singular Problems in Shell Theory: Computing and Asymptotics (Lecture Notes in Applied and Computational Mechanics, 54, Band 54) - Hardcover

Sanchez-Palencia, Evariste; Millet, Olivier; Bechet, Fabien

 
9783642138140: Singular Problems in Shell Theory: Computing and Asymptotics (Lecture Notes in Applied and Computational Mechanics, 54, Band 54)
Hardcover
ISBN 10: 3642138144 ISBN 13: 9783642138140
Verlag: Springer, 2010

Inhaltsangabe

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 (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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

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 (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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642138144
ISBN 13 
9783642138140
Einband
Gebundene Ausgabe
Anzahl der Seiten
280
Kontakt zum Hersteller
Centaurus
buchhandel-buch@springer.com

Abraham-Lincon-Str. 46
Wiesbaden
65189
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783642264337: Singular Problems in Shell Theory: Computing and Asymptotics (Lecture Notes in Applied and Computational Mechanics, Band 54)

Vorgestellte Ausgabe

ISBN 10:  3642264336 ISBN 13:  9783642264337
Verlag: Springer, 2012
Softcover