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Plates and Shells

Edited by: Michel Fortin Université Laval, Ste-Foy, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Available Formats:
Softcover ISBN: 978-0-8218-0950-1
Product Code: CRMP/21
280 pp
List Price: $98.00 MAA Member Price:$88.20
AMS Member Price: $78.40 Electronic ISBN: 978-1-4704-3935-4 Product Code: CRMP/21.E 280 pp List Price:$92.00
MAA Member Price: $82.80 AMS Member Price:$73.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $147.00 MAA Member Price:$132.30
AMS Member Price: $117.60 Click above image for expanded view Plates and Shells Edited by: Michel Fortin Université Laval, Ste-Foy, QC, Canada A co-publication of the AMS and Centre de Recherches Mathématiques Available Formats:  Softcover ISBN: 978-0-8218-0950-1 Product Code: CRMP/21 280 pp  List Price:$98.00 MAA Member Price: $88.20 AMS Member Price:$78.40
 Electronic ISBN: 978-1-4704-3935-4 Product Code: CRMP/21.E 280 pp
 List Price: $92.00 MAA Member Price:$82.80 AMS Member Price: $73.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$147.00
MAA Member Price: $132.30 AMS Member Price:$117.60
• Book Details

CRM Proceedings & Lecture Notes
Volume: 211999
MSC: Primary 74; Secondary 65;

This volume features the proceedings from the Summer Seminar of the Canadian Mathematical Society held at Université Laval. The purpose of the seminar was to gather both mathematicians and engineers interested in the theory or application of plates and shells, or more generally, in the modelisation of thin structures. From this, it was hoped that a better understanding of the problem would emerge for both groups of professionals. New aspects from the mathematical point of view and new applications posing new challenges are reported. This volume offers a snapshot of the state of the art of this rapidly evolving topic.

Graduate students and research mathematicians working in mechanics of solids; engineers interested in numerical simulation of thin structures.

• Chapters
• Derivation and justification of plate models by variational methods
• Simple triangular shell elements for large strain estimations of sheet metal forming parts
• Some approximation methods for linear thin shell problems
• Numerical analysis of piezoelectric shells
• Étude intrinsèque d’un problème de coque en grandes déformations
• Locking-free mixed stabilized finite element methods for bending-dominated shells
• Un élément de coque simple à trois nœuds en grandes rotations et élastoplasticité
• Intrinsic nonlinear models of shells
• Convergence of the linear $P$(1,1) and $P$(2,1) thin shells to asymptotic shells
• Two-level overlapping Schwarz methods for plate elements on unstructured meshes using non-matching coarse grids
• Large elasto-plastic deformations of thin shells with application to the stamping of anisotropic sheet metal parts
• Justification of two-dimensional linear shell models by the use of $\Gamma$-convergence theory
• Numerical simulation of high-rate stamping of tubes and sheets
• An intrinsic form of the stress resultant geometrically exact shell theory
• Numerical inf-sup analysis of MITC plate bending elements
• Optimisation des plaques et coques
• Vibroacoustic behavior of a rectangular box
• Error analysis of mixed finite elements for cylindrical shells
• Request Review Copy
Volume: 211999
MSC: Primary 74; Secondary 65;

This volume features the proceedings from the Summer Seminar of the Canadian Mathematical Society held at Université Laval. The purpose of the seminar was to gather both mathematicians and engineers interested in the theory or application of plates and shells, or more generally, in the modelisation of thin structures. From this, it was hoped that a better understanding of the problem would emerge for both groups of professionals. New aspects from the mathematical point of view and new applications posing new challenges are reported. This volume offers a snapshot of the state of the art of this rapidly evolving topic.

Graduate students and research mathematicians working in mechanics of solids; engineers interested in numerical simulation of thin structures.

• Chapters
• Derivation and justification of plate models by variational methods
• Simple triangular shell elements for large strain estimations of sheet metal forming parts
• Some approximation methods for linear thin shell problems
• Numerical analysis of piezoelectric shells
• Étude intrinsèque d’un problème de coque en grandes déformations
• Locking-free mixed stabilized finite element methods for bending-dominated shells
• Un élément de coque simple à trois nœuds en grandes rotations et élastoplasticité
• Intrinsic nonlinear models of shells
• Convergence of the linear $P$(1,1) and $P$(2,1) thin shells to asymptotic shells
• Two-level overlapping Schwarz methods for plate elements on unstructured meshes using non-matching coarse grids
• Large elasto-plastic deformations of thin shells with application to the stamping of anisotropic sheet metal parts
• Justification of two-dimensional linear shell models by the use of $\Gamma$-convergence theory
• Numerical simulation of high-rate stamping of tubes and sheets
• An intrinsic form of the stress resultant geometrically exact shell theory
• Numerical inf-sup analysis of MITC plate bending elements
• Optimisation des plaques et coques
• Vibroacoustic behavior of a rectangular box
• Error analysis of mixed finite elements for cylindrical shells
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