Nonlinear Behaviour and Stability of Thin-Walled Shells

✍ Scribed by Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov (auth.)

Publisher: Springer Netherlands
Year: 2013
Tongue: English
Leaves: 182
Series: Solid Mechanics and Its Applications 199
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book focuses on the nonlinear behaviour of thin-wall shells (single- and multilayered with delamination areas) under various uniform and non-uniform loadings.
The dependence of critical (buckling) load upon load variability is revealed to be highly non-monotonous, showing minima when load variability is close to the eigenmode variabilities of solution branching points of the respective nonlinear boundary problem.
A novel numerical approach is employed to analyze branching points and to build primary, secondary, and tertiary bifurcation paths of the nonlinear boundary problem for the case of uniform loading. The load levels of singular points belonging to the paths are considered to be critical load estimates for the case of non-uniform loadings.

✦ Table of Contents

Front Matter....Pages i-vii
In Lieu of Introduction....Pages 1-10
Boundary Problem of Thin Shells Theory....Pages 11-27
Branching of Nonlinear Boundary Problem Solutions....Pages 29-38
Numerical Method....Pages 39-51
Non-Axisymmetrically Loaded Cylindrical Shell....Pages 53-86
Structurally Non-Axisymmetric Shell Subjected to Uniform Loading....Pages 87-114
Postcritical Branching Patterns for Cylindrical Shell Subjected to Uniform External Loading....Pages 115-141
Postbuckling Behaviour and Stability of Anisotropic Shells....Pages 143-175
Conclusion....Pages 177-178

✦ Subjects

Structural Mechanics; Mechanical Engineering; Appl.Mathematics/Computational Methods of Engineering; Aerospace Technology and Astronautics; Computational Mathematics and Numerical Analysis

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