Overview
- Develops shell equations with drilling rotation from various sets of 3D equations with rotations,
- Expounds the role of the Rotation Constraint equation as a means to introduce the drilling rotation,
- Describes and evaluates several enhanced, mixed, and mixed/enhanced 4-node elements with drilling rotations,
- Presents a fairly complete set of numerical test for shells,
Part of the book series: Lecture Notes on Numerical Methods in Engineering and Sciences (LNNMES)
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Keywords
Table of contents (15 chapters)
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Preliminaries
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Shell Equations
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Finite Rotations for Shells
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Four-Node Shell Elements
Reviews
From the reviews:
“This outstanding, very important and useful book presets a modern continuum mechanics and mathematical framework to study the physical behaviours of shells, and to formulate and evaluate finite element procedures. … The monograph is written in an accessible and self-contained manner. It will be of interest to mathematicians and engineers working in solid mechanics. Moreover, it would be good as a textbook for graduate courses in mechanics of elastic shells (specializing in shells, finite elements and applied numerical methods).” (Ján Lovíšek, Mathematical Reviews, Issue 2012 g)
“The objective is to provide a comprehensive introduction to finite rotation shells and to nonlinear shell finite elements. The book is intended for both teaching and self-study, and emphasizes fundamental aspects and techniques of the subject. This book also contains several topics related to nonlinear shells such as the parametrization of finite rotations, the methods of inclusion of the drilling rotation, various methods of treating the normal strain, and the mixed finite elements.” (V. Leontiev, Zentralblatt MATH, Vol. 1201, 2011)
Bibliographic Information
Book Title: Finite Rotation Shells
Book Subtitle: Basic Equations and Finite Elements for Reissner Kinematics
Editors: K. Wiśniewski
Series Title: Lecture Notes on Numerical Methods in Engineering and Sciences
DOI: https://doi.org/10.1007/978-90-481-8761-4
Publisher: Springer Dordrecht
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media B.V. 2010
Hardcover ISBN: 978-90-481-8760-7Due: 20 April 2010
Softcover ISBN: 978-94-007-3198-1Published: 13 June 2012
eBook ISBN: 978-90-481-8761-4Published: 18 November 2010
Series ISSN: 1877-7341
Series E-ISSN: 1877-735X
Edition Number: 1
Number of Pages: XIV, 483