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Mathematical Analysis of Thin Plate Models

  • Textbook
  • © 1996

Overview

Authors:
  1. Philippe Destuynder

    1. C. N. A. M. - I. A. T., St. Cyr-L’Ecole, France

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  2. Michel Salaun

    1. C. N. A. M. - I. A. T., St. Cyr-L’Ecole, France

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathématiques et Applications (MATHAPPLIC, volume 24)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
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  2. Plate Models for Thin Structures

    • Philippe Destuynder, Michel Salaun
    Pages 1-27

  3. Variational Formulations for Bending Plates

    • Philippe Destuynder, Michel Salaun
    Pages 29-104

  4. Finite Element Approximations for Several Plate Models

    • Philippe Destuynder, Michel Salaun
    Pages 105-182

  5. Numerical Tests for the Mixed Finite Element Schemes for Bending Plates

    • Philippe Destuynder, Michel Salaun
    Pages 183-205

  6. A Numerical Model for Delamination of Composite Multilayered Plates

    • Philippe Destuynder, Michel Salaun
    Pages 207-234

  7. Back Matter

    Pages 235-238
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Keywords

About this book

Shells and plates have been widely studied by engineers during the last fifty years. As a matter of fact an important number of papers have been based on analytical calculations. More recently numerical simulations have been extensively used. for instance for large displacement analysis. for shape optimization or even -in linear analysis -for composite material understanding. But all these works lie on a choice of a finite element scheme which contains usually three kinds of approximations: 1. a plate or shell mndel including smnll parameters associated to the thickness, 2. an approximntion of the geometry (the medium sUrface of a shell and its boundary), 3. afinite element scheme in order to solve the mndel chosen. VI Obviously the conclusions that we can draw are very much depending on the quality of the three previous choices. For instance composite laminated plates with damage like a delamination is still an open problem even if interesting papers have already been published and based on numerical simulation using existing fmite element and even plate models. • In our opinion the understanding of plate modelling is still an area of interest. Furthermore the links between the various models have to be handled with care. The certainly best understood model is the Kirchhoff-Love model which was completely justified by P. O. Ciarlet and Ph. Destuynder in linear analysis using asymptotic method. But the conclusion is not so clear as far as large displacements are to be taken into account.

Authors and Affiliations

  • C. N. A. M. - I. A. T., St. Cyr-L’Ecole, France

    Philippe Destuynder, Michel Salaun

Bibliographic Information

  • Book Title: Mathematical Analysis of Thin Plate Models

  • Authors: Philippe Destuynder, Michel Salaun

  • Series Title: Mathématiques et Applications

  • DOI: https://doi.org/10.1007/978-3-642-51761-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61167-7Published: 26 July 1996

  • eBook ISBN: 978-3-642-51761-7Published: 11 November 2013

  • Series ISSN: 1154-483X

  • Series E-ISSN: 2198-3275

  • Edition Number: 1

  • Number of Pages: X, 236

  • Number of Illustrations: 39 b/w illustrations

  • Topics: Numerical Analysis, Theoretical and Applied Mechanics, Computational Intelligence

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