The finite element analysis of shells : fundamentals

Dominique Chapelle, Klaus-Jürgen Bathe

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

この本の情報

書名 The finite element analysis of shells : fundamentals
著作者等 Bathe, Klaus-Jürgen
Bathe Klaus-Jurgen
Chapelle Dominique
シリーズ名 Computational fluid and solid mechanics
出版元 Springer
刊行年月 c2011
版表示 2nd ed
ページ数 xv, 410 p.
大きさ 24 cm
ISBN 9783642266317
9783642164071
NCID BB07507839
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ
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