Variational and Potential Methods in the Theory of Plates With Transverse Shear Deformation - Couverture rigide

Livre 6 sur 34: Monographs and Surveys in Pure and Applied Mathematics

Chudinovich, I.; Constanda, Christian

 
9781584881551: Variational and Potential Methods in the Theory of Plates With Transverse Shear Deformation
Couverture rigide
ISBN 10 : 1584881550 ISBN 13 : 9781584881551
Editeur : Chapman & Hall/CRC, 2000

Synopsis

Elastic plates form a class of very important mechanical structures that appear in a wide range of practical applications, from building bodies to microchip production. As the sophistication of industrial designs has increased, so has the demand for greater accuracy in analysis. This in turn has led modelers away from Kirchoff's classical theory for thin plates and toward increasingly refined models that yield not only the deflection of the middle section, but also account for transverse shear deformation. The improved performance of these models is achieved, however, at the expense of a much more complicated system of governing equations and boundary conditions. In this Monograph, the authors conduct a rigorous mathematical study of a number of boundary value problems for the system of partial differential equations that describe the equilibrium bending of an elastic plate with transverse shear deformation. Specifically, the authors explore the existence, uniqueness, and continuous dependence of the solution on the data. In each case, they give the variational formulation of the problems and discuss their solvability in Sobolev spaces. They then seek the solution in the form of plate potentials and reduce the problems to integral equations on the contour of the domain. This treatment covers an extensive range of problems and presents the variational method and the boundary integral equation method applied side-by-side. Readers will find that this feature of the book, along with its clear exposition, will lead to a firm and useful understanding of both the model and the methods.

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À propos de l?auteur

I. Chudinovich, Christian Constanda

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman & Hall/CRC
Date d'édition
2000
Langue
anglais
ISBN 10 
1584881550
ISBN 13 
9781584881551
Reliure
Relié
Nombre de pages
248
Coordonnées du fabricant
non disponible
Personne responsable
non disponible