Wisniewski Finite Rotation Shells

Basic Equations and Finite Elements for Reissner Kinematics
2010
ISBN: 978-90-481-8761-4
Verlag: Springer Netherlands
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 483 Seiten

Reihe: Lecture Notes on Numerical Methods in Engineering and Sciences

The objective of this book is to provide a comprehensive introduction to ?nite rotation shells and to non-linear shell ?nite elements. It is divided into 5 parts: I. Preliminaries (20 pages), II. Shell equations (104 pages), III. Finite rotations for shells (103 pages), IV. Four-node shell elements (189 pages), and V. Numerical examples (41 pages). Additional numerical examples are presented in Parts III and IV. The bibliography includes 270 entries. The book is intended for both teaching and self-study, and emphasizes fundamental aspects and techniques of the subject. Some familiarity with non-linear mechanics and the ?nite element method is assumed. Shell elements are a subject of active research which results in many publications every year and several conferences and sessions are held r- ularly, among them, two large international conferences: \Computation of Shell and Spatial Structures' and \Shell Structures. Theory and - plications' (SSTA). The literature is voluminous, not easy to follow and evaluate, and the subject is di-cult to comprehend. I hope that this will be facilitated by the book. I would like to express my gratitude to several persons who helped me in my professional life, in this way contributing to the book. I thank Prof. R.L. Taylor from the University of California at Berkeley, Prof. B. Schre er from the University of Padua, and Prof. J.T. Santos from the Instituto Superior Tecnico at Lisbon, for hosting and supporting me when I was a post-doctoral researcher.

Autoren/Hrsg.

Wisniewski, K.

Inhaltsverzeichnis

1;Contents;4
2;Preface;10
3;1 Introduction;13
4;2 Operations on tensors and their representations;17
5;3 Rotations for 3D Cauchy continuum;33
6;4 3D form ulations with rotations;41
7;5 Basic geometric definitions for shells;60
8;6 Shells with Reissner kinematics and drillingrotation;71
9;7 Shell-type constitutive equations;108
10;8 Parametrization of finite rotations;137
11;9 Algorithmic sc hemes for finite rotations;189
12;10 Basic relations for four-node shell elements;240
13;11 Plane four-node elemen ts (without drilling rotation );278
14;12 Plane four-node elemen ts with drilling rotation;322
15;13 Modifcation of transverse shear stillness of shell element;375
16;14 Warp ed four-node shell element;406
17;15 Numerical tests;429
18;References;466
19;Author index;483
20;Sub ject index;487