Overview

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.

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9783642074592

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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 fur 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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