Singular Problems in Shell Theory Computing and Asymptotics /

• Main Authors: Sanchez-Palencia, Evariste. (Author), Millet, Olivier. (Author), Bčhet, Fabien. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Applied and Computational Mechanics, 54
• Subjects: Engineering.; Mechanics.; Materials.; Mechanical engineering.; Civil engineering.; Structural Mechanics.; Continuum Mechanics and Mechanics of Materials.; Civil Engineering.; Automotive Engineering.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-13815-7

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 qualit...

Table of Contents:

• Geometric formalism of shell theory
• Singularities and boundary layers in thin elastic shell theory
• Anisotropic error estimates in the layers
• Numerical simulation with anisotropic adaptive mesh
• Singularities of parabolic inhibited shells
• Singularities of hyperbolic inhibited shells
• Singularities of elliptic well-inhibited shells
• Generalities on boundary conditions for equations and systems
• Introduction to sensitive problems- Numerical simulations for sensitive shells
• Examples of non-inhibited shell problems (non-geometrically rigid problems).