书目名称 | Singular Problems in Shell Theory |
副标题 | Computing and Asympt |
编辑 | Evariste Sanchez-Palencia,Olivier Millet,Fabien Bé |
视频video | |
概述 | State of the art of singular problems in shell theory.Written by experts in the field.Introduces new concepts |
丛书名称 | Lecture Notes in Applied and Computational Mechanics |
图书封面 |  |
描述 | It is known that deformations of thin shells exhibit peculiarities such as propagation of singularities, edge and internal layers, piecewise quasi inextensional deformations, sensitive problems and others, leading in most cases to numerical locking phenomena under several forms, and very poor quality of computations for small relative thickness. Most of these phenomena have a local and often anisotropic character (elongated in some directions), so that efficient numerical schemes should take them in consideration. This book deals with various topics in this context: general geometric formalism, analysis of singularities, numerical computing of thin shell problems, estimates for finite element approximation (including non-uniform and anisotropic meshes), mathematical considerations on boundary value problems in connection with sensitive problems encountered for very thin shells; and others. Most of numerical computations presented here use an adaptive anisotropic mesh procedure which allows a good computation of the physical peculiarities on one hand, and the possibility to perform automatic computations (without a previous mathematical description of the singularities) on the other |
出版日期 | Book 2010 |
关键词 | Adaptive mesh; Anisotropic mesh; Finite Element estimation; Internal layers; Koiter model; Sensitive prob |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-13815-7 |
isbn_softcover | 978-3-642-26433-7 |
isbn_ebook | 978-3-642-13815-7Series ISSN 1613-7736 Series E-ISSN 1860-0816 |
issn_series | 1613-7736 |
copyright | Springer-Verlag Berlin Heidelberg 2010 |