The Finite Element Analysis of Shells - Fundamentals
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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.
A primary method of analysis in mechanical and structural engineering is to divide a structure or object into very small sections (the smaller, the more accurate) and then to observe changes in position and temperature based on the applications of physical or thermal forces. The intelligent use of computers has made one of the primary methods, Finite Element Analyis (FEA), even more powerful and useful. The aim of this book is to provide a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate FEA procedures. These shell structures are found abundantly in engineering designs, and are being analysed with finite elements in a seemingly routine manner. This monograph explains that fundamental physical aspects of shell behaviors must be understood in order to perform a reliable and effective shell analysis. In particular, it shows how citial it is that the diversity and the peculiarity of shell behavior when the thickness of the structure is decreased be considered.
State-of-the-art monograph by the leading experts Introduces the subject systematically and in a unified manner 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«
Approximation Fundament Mixed formulations Reliability Shell models Shells behavior calculus continuum mechanics design finite element method finite elements mechanics numerical analysis structure
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From the reviews:
"The major part of the book focuses on the linear analysis of shell structures, for which a discussion of the available mathematical models and discretization procedures is given. … The aim of the present volume is to provide more powerful finite element methods by a deeper physical understanding of shell structural behavior and application of stronger mathematical theories. … This well-written text is not just a survey of finite element methods for shell analyses, but presents the authors’ experiences with shell analysis methods." (K.Marti, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 85 (2), 2005)
"If we are aware of the rising application of finite shell elements in industrial applications and of the growing size of the problems, an increase of mathematical knowledge for element use and development seems to be required. Just this is the aim of the present book … . This book is recommended to all ‘applied mechanicians’, who intend to study the mathematical backgrounds of finite shell analyses. For all developers of advanced and more powerful finite shell element techniques, its reading is a ‘must’." (Technische Mechanik, Vol. 24 (1), 2004)
"The main objective is to combine the fundamentals of shell theories, mathematical analyses and finite element methods in order to develop shell finite element approximations which are reliable and effective. … The expertises of both authors combined with a very clear and attractive presentation lead to a wonderful masterpiece which is, with no doubt and for a long time, the great reference book for the development of accurate and reliable numerical methods in the thin shell world." (Michel Bernadou, Zentralblatt MATH, Vol. 1103 (5), 2007)
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