Mathematical Analysis of Thin Plate Models

Language: English

Published by Springer, 1996

3540611673 / 9783540611677

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Softcover

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Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.…

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Title
Mathematical Analysis of Thin Plate Models
Author
Destuynder, Philippe
Publisher
Springer
Publication year
1996
Condition
Sehr gut
Binding
Soft cover
Language
English
ISBN 10
3540611673
ISBN 13
9783540611677
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Buchpark

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