The Finite Element Analysis of Shells - Fundamentals

[ir_71]

The Finite Element Analysis of Shells - Fundamentals, 2nd. ed.

Author: D. Chapelle | Size: 10 MB | Format: PDF | Publisher: Springer | Year: 2010 | pages: 426 | ISBN: 3642164072

Product Details

Shell structures are found abundantly in engineering designs and are routinely analysed 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.

Review
From the reviews:

"The major part of the book focuses on the linear analysis of shell structures, for which a discussion of the available mathematical models and discretization procedures is given. … The aim of the present volume is to provide more powerful finite element methods by a deeper physical understanding of shell structural behavior and application of stronger mathematical theories. … This well-written text is not just a survey of finite element methods for shell analyses, but presents the authors’ experiences with shell analysis methods." (K.Marti, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 85 (2), 2005)

"If we are aware of the rising application of finite shell elements in industrial applications and of the growing size of the problems, an increase of mathematical knowledge for element use and development seems to be required. Just this is the aim of the present book … . This book is recommended to all ‘applied mechanicians’, who intend to study the mathematical backgrounds of finite shell analyses. For all developers of advanced and more powerful finite shell element techniques, its reading is a ‘must’." (Technische Mechanik, Vol. 24 (1), 2004)

"The main objective is to combine the fundamentals of shell theories, mathematical analyses and finite element methods in order to develop shell finite element approximations which are reliable and effective. … The expertises of both authors combined with a very clear and attractive presentation lead to a wonderful masterpiece which is, with no doubt and for a long time, the great reference book for the development of accurate and reliable numerical methods in the thin shell world." (Michel Bernadou, Zentralblatt MATH, Vol. 1103 (5), 2007)

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[junaid]

The Finite Element Analysis of Shells - Fundamentals

Author: Dominique Chapelle | Size: 10.6 MB | Format: PDF | Publisher: Springer | Year: 2010 | pages: 538 | ISBN: 3642164072

Shell structures are found abundantly in engineering designs and are routinely analysed 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.

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[avge]

New link to this book

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[ska51]

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[jgarciafic]

The finite element analysis of shells - fundamentals

Author(s)/Editor(s): Dominique Chapelle, Klaus-Jürgen Bathe
Size: 8.12 MB
Format: PDF
Quality: Original preprint
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011 (Second edition)
ISBN: 3642164072,9783642164071

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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[rami1976]

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