Finite element methods for thin shell problems
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Bibliographic Information
Finite element methods for thin shell problems
Wiley, 1996
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Description and Table of Contents
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.
Table of Contents
- 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.
by "Nielsen BookData"