Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation

I. Chudinovich

ISBN 10: 1584881550 / ISBN 13: 9781584881551

Verlag: Taylor & Francis Inc Jun 2000, 2000

Beschreibung

Neuware - Elastic plates form a class of very important mechanical structures that occur in a wide range of practical applications, from building to microchip production. In this Monograph, the authors explore a number of important problems encountered in working with elastic plates. This is the first book to consider so many fundamental boundary value problems in conjunction with both variational and potential methods for finite and infinite domains. The authors write very explicitly, with full explanations, and conduct the discussion in Sobolev spaces to yield useful results for error analysis in numerical computations.

Bestandsnummer des Verkäufers 9781584881551

Bibliografische Details

• Titel: Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation
• Verlag: Taylor & Francis Inc Jun 2000
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 1584881550
• ISBN-13: 9781584881551
• Einband: Buch
• Zustand: Neu
• Abmessungen: 234B x 156 H x 0 T Millimeter Breite: 234 mm, Höhe: 156 mm, Tiefe: 0 mm
• Gewicht: 499 Gramm

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

I. Chudinovich, Christian Constanda