The Finite Element Analysis of Shells - Fundamentals [electronic resource] / by Dominique Chapelle, Klaus-Jurgen Bathe.
Contributor(s): Bathe, Klaus-Jurgen | [author.] | SpringerLink (Online service).Material type: BookSeries: Computational Fluid and Solid Mechanics; .Description: XV, 410 p. online resource.ISBN: 9783642164088 99783642164088.Subject(s): Engineering | MATERIALS | Engineering | CONTINUUM MECHANICS AND MECHANICS OF MATERIALS | MECHANICS | MECHANICS | COMPUTATIONAL INTELIGENCE | FUNCIONAL ANALYSIS | FUNCIONAL ANALYSISDDC classification: 620.1 Online resources: ir a documento
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|DOCUMENTOS DIGITALES||Biblioteca Jorge Álvarez Lleras||Digital||620.1 223 (Browse shelf)||Ej. 1||1||Available||D000792|
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.
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.