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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
Plates and Shells
Softcover ISBN:  978-0-8218-0950-1
Product Code:  CRMP/21
List Price: $103.00
MAA Member Price: $92.70
AMS Member Price: $82.40
eBook ISBN:  978-1-4704-3935-4
Product Code:  CRMP/21.E
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Softcover ISBN:  978-0-8218-0950-1
eBook: ISBN:  978-1-4704-3935-4
Product Code:  CRMP/21.B
List Price: $200.00 $151.50
MAA Member Price: $180.00 $136.35
AMS Member Price: $160.00 $121.20
Plates and Shells
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
Softcover ISBN:  978-0-8218-0950-1
Product Code:  CRMP/21
List Price: $103.00
MAA Member Price: $92.70
AMS Member Price: $82.40
eBook ISBN:  978-1-4704-3935-4
Product Code:  CRMP/21.E
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Softcover ISBN:  978-0-8218-0950-1
eBook ISBN:  978-1-4704-3935-4
Product Code:  CRMP/21.B
List Price: $200.00 $151.50
MAA Member Price: $180.00 $136.35
AMS Member Price: $160.00 $121.20
  • Book Details
     
     
    CRM Proceedings & Lecture Notes
    Volume: 211999; 280 pp
    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.

    Titles in this series are co-published with the Centre de Recherches Mathématiques.

    Readership

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

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 211999; 280 pp
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.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

Readership

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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.