The Finite Element Analysis of Shells - Fundamentals
By: by Dominique Chapelle, Klaus-Jürgen Bathe
Contributors: Bathe, Klaus-Jürgen
Series: Computational Fluid and Solid Mechanics; Computational Fluid and Solid Mechanics
Publisher: Springer Berlin Heidelberg
Published: 2003
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 330
ISBN-13: 9783642074592; 9783662052297
Subjects: Mechanics; Engineering; Materials; Numerical analysis
Description: 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.
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Table of contents: title: Introduction; title: Geometrical Preliminaries; title: Elements of Functional and Numerical Analysis; title: Shell Mathematical Models; title: Asymptotic Behaviors of Shell Models; title: Displacement-Based Shell Finite Elements; title: Influence of the Thickness in the Finite Element Approximation; title: Towards the Formulation of Effective General Shell Elements; title: On the Nonlinear Analysis of Shells.