The Finite Element Analysis of Shells - Fundamentals

Dominique Chapelle, Klaus-Jürgen Bathe (Autoren)

Buch | Softcover

XIII, 330 Seiten

2011 | 1., st Edition. Softcover version of original hardcover edition 2003
Springer Berlin (Verlag)
978-3-642-07459-2 (ISBN)

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The authors present 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. A state of the art monograph by leading experts.

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.

Reihe/Serie	Computational Fluid and Solid Mechanics
Sprache	englisch
Maße	155 x 235 mm
Einbandart	Paperback
Themenwelt	Technik ► Maschinenbau
Schlagworte	asymptotic analysis • finite elements • Locking • Mixed formulations • Reliability • Shell behaviors • Shell models • Shells
ISBN-10	3-642-07459-6 / 3642074596
ISBN-13	978-3-642-07459-2 / 9783642074592
Zustand	Neuware