Finite Element Methods for Thin Shell Problems
Published on 24. January 1996
Book
Hardback
360 pages
978-0-471-95647-1 (ISBN)
Description
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.
More details
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
Illustrations
Dimensions
Height: 247 mm
Width: 163 mm
Weight
750 gr
ISBN-13
978-0-471-95647-1 (9780471956471)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
Partial table of contents:; GENERAL PRESENTATION OF THIN SHELL EQUATIONS; EXISTENCE AND UNIQUENESS RESULTS; Description of the Geometry of a Thin Shell; The Linear Model of Koiter; APPROXIMATIONS OF KOITER'S MODEL BY VARIOUS FINITE ELEMENT METHODS; Mixed Finite Element Methods; JOINT APPROXIMATION OF THE GEOMETRY AND OF THE DISPLACEMENT OF THE SHELL; Approximation by Flat Facets; Junctions Between Thin Shells; LINEAR BUCKLING OF A GENERAL THIN SHELL; Increase in Total Potential Energy of a Thin Elastic Shell; Numerical Results; SHAPE OPTIMIZATION OF THIN ELASTIC SHELLS UNDER VARIOUS CRITERIA; Derivative of a Functional with Respect to the Shell Geometry; From Equations to Program; References; Index of Quoted Authors; Glossary of Symbols; Subject Index.