The Finite Element Analysis of Shells - Fundamentals / Edition 2

The Finite Element Analysis of Shells - Fundamentals / Edition 2

by Dominique Chapelle, Klaus-Jurgen Bathe
     
 

ISBN-10: 3642164072

ISBN-13: 9783642164071

Pub. Date: 12/08/2010

Publisher: Springer Berlin Heidelberg

This book presents a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element

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Overview

This book presents a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. In this Second Edition the authors give new developments in the field and - to make the book more complete - more explanations throughout the text, an enlarged section on general variational formulations and new sections on 3D-shell models, dynamic analyses, and triangular elements. The analysis of shells represents one of the most challenging fields in all of mechanics, and encompasses various fundamental and generally applicable components. Specifically, the material presented in this book regarding geometric descriptions, tensors and mixed variational formulations is fundamental and widely applicable also in other areas of mechanics.

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Product Details

ISBN-13:
9783642164071
Publisher:
Springer Berlin Heidelberg
Publication date:
12/08/2010
Series:
Computational Fluid and Solid Mechanics Series
Edition description:
2nd ed. 2011
Pages:
410
Product dimensions:
0.94(w) x 9.21(h) x 6.14(d)

Table of Contents

1Introduction1
2Geometrical Preliminaries7
3Elements of Functional and Numerical Analysis39
4Shell Mathematical Models81
5Asymptotic Behaviors of Shell Models115
6Displacement-Based Shell Finite Elements171
7Influence of the Thickness in the Finite Element Approximation207
8Towards the Formulation of Effective General Shell Elements263
9On the Nonlinear Analysis of Shells293
ATables of symbols305
BSome Useful Mathematical Formulas311
CDistributions: Basic Definitions and Properties313
References317
Index327

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