FINFTE ROTATION SHELLS BASIC EQUATIONS AND FINITE ELEMENTS FOR REISSNER KINEMATICS(HB 2010)

WISNIEWSKI

ISBN 10: 9048187605 / ISBN 13: 9789048187607

Edité par SPRINGER, 2010

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Synopsis :

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.

Présentation de l'éditeur: This book treats the formulation and finite elements for shells, and its subject is defined by the following topics: Computational mechanics of non-linear shells, Shell equations: Reissner kinematics, finite rotations, finite strains, Shell finite elements: 4-node, enhanced or mixed or mixed/enhanced, Drilling rotation: drilling Rotation Constraint or Allman shape functions, Normal strain: recovered or parameterized, Constitutive equations: incremental, plane stress or 3D. A wide range of applications of shell elements implies that they should be versatile, i.e. account for finite rotations and strains, admit the incorporation of various constitutive laws and enable convenient linking with other elements. This is a serious challenge, which requires various aspects of the element's formulation to be very advanced. The basic information on linear shell elements may be found in some textbooks on FEs, but this book contains several advanced topics related to non-linear shells, such as e.g. the parametrization of finite rotations, the methods of including the drilling rotation, various methods of treating the normal strain, and the enhanced as well as mixed and mixed/enhanced finite elements. Some of these topics have been a subject of my research for years, and all the described methods have been implemented in my own elements, and tested. Therefore, I believe that my understanding of this complicated subject is correct and mature enough to be canned, and presented to others.

Détails bibliographiques

Titre : FINFTE ROTATION SHELLS BASIC EQUATIONS AND ...
Éditeur : SPRINGER
Date d'édition : 2010
Reliure : Couverture rigide
Etat : New
Edition : Edition internationale