Finite Element Methods for Thin Shell Problems - Hardcover

Bernadou, M.

Hardcover

ISBN 10: 0471956473 ISBN 13: 9780471956471

Verlag: John Wiley & Sons Ltd, 1996

Inhaltsangabe

This is a collection of the main results of mathematical and numerical analyses related to the approximation of the solutions of thin shell problems by finite element methods. The main modelizations of thin shells are recalled and the associate existence results in appropriate functional spaces are proved. The approximation of these solutions by different kinds of finite element methods is examined in detail: the formulation of approximate problems; the study of existence and the convergence of the approximate solutions to the exact solution; and the derivation of a priori error estimates. These approximations take into account the approximations of displacement and geometry, and those related to the use of numerical integration techniques.

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Finite Element Methods for Thin Shell Problems Michel Bernadou Pôle Universitaire Léonard de Vinci, Paris La Défense, and INRIA–Rocquencourt, France This self–contained book provides a complete mathematical analysis of general thin shell equations and gives a representative set of numerical analysis results on thin shell problems by emphasizing their approximation and implementation. The main results of mathematical and numerical analysis related to the approximation of the solutions of thin shell problems by various finite element methods are presented. The different classical models of thin shells are considered, the existence and the uniqueness of solutions as well as the convergence of the different methods are studied. Beyond this theoretical analysis, the implementation and the use of these various finite element methods to solve engineering problems, such as arch dams, turbine blades, shell junctions, buckling loads and shape optimization, are carefully described.

Details zur Ausgabe

• Verlag: John Wiley & Sons Ltd
• Erscheinungsdatum: 1996
• Sprache: Englisch
• ISBN 10: 0471956473
• ISBN 13: 9780471956471
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 360
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar