The finite element analysis of shells : fundamentals

Author(s)

    • Chapelle, Dominique
    • Bathe, Klaus-Jürgen

Bibliographic Information

The finite element analysis of shells : fundamentals

D. Chapelle, K.J. Bathe

(Computational fluid and solid mechanics / editor Klaus-Jürgen Bathe)(Engineering online library)

Springer, 2003

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Note

Includes bibliographical references (p. [317]-325) and index

Description and Table of Contents

Description

Shell structures are found abundantly in engineering designs and are routinely analyzed with finite element methods. The objective of this book is to present, in a unified manner, modern finite element procedures for general shell analysis. The first chapters introduce the basic concepts for the analysis of shells, explain the mathematical preliminaries, and discuss the mathematical models of plates and shells including their asymptotic properties. The following chapters deal with finite element discretization methods for plates and shells. At the end of the book, applications of these methods in modern engineering practice are described, and an overview of nonlinear shell analysis is given.

Table of Contents

Introduction.- Geometrical Preliminaries.- Elements of Functional and Numerical Analysis.- Shell Mathematical Models.- Asymptotic Behaviors of Shell Models.- Displacement-Based Shell Finite Elements.- Influence of the Thickness in the Finite Element Approximation.- Towards the Formulation of Effective General Shell Elements.- On the Nonlinear Analysis of Shells.

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