The Finite Element Analysis of Shells - Fundamentals
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
State-of-the-art monograph by the leading experts Introduces the subject systematically and in a unified manner With many new examples Describes the application of advanced methods in engineering practice Gives an overview of nonlinear methods Includes supplementary material: sn.pub/extras
Autor*in
Dominique Chapelle
Themen in »The Finite Element Analysis of Shells - Fundamentals«
Asymptotic analysis Finite elements Locking Mixed formulations Reliability Shell behaviors Shell models Shells
Stimmen zu »The Finite Element Analysis of Shells - Fundamentals«
From the reviews of the second edition:
“This well-written book is a reader-friendly and good-organized monograph in the field of finite element analysis of shell structures. It can be highly recommended for experts in mechanics of solids, for engineers, and for graduate, postgraduate and doctoral students.” (Igor Andrianov, Zentralblatt MATH, Vol. 1211, 2011)()