Nonlinear Behaviour and Stability of Thin-Walled Shells
By: by Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
Contributors: Lebedeyev, Olexandr G.; Gromov, Vasilii A.; SpringerLink (Online service)
Series: Solid Mechanics and Its Applications -- 199
Publisher: Springer Netherlands; Imprint: Springer
Published: 2013
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 178
ISBN-13: 9789400763654
Subjects: Structural analysis (Engineering); Computational Mathematics and Numerical Analysis; Mechanical engineering; Appl.Mathematics/Computational Methods of Engineering; Engineering; Engineering mathematics; Computer science; Mathematics; Astronautics; Aerospace Technology and Astronautics
Description: 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: title: 1. In lieu of introduction; title: 2. Boundary problem of thin shells theory; title: 3. Branching of nonlinear boundary problem solutions; title: 4. Numerical method; title: 5. Nonaxisymmetrically loaded cylindrical shell; title: 6. Structurally nonaxisymetric shell subjected to uniform loading; title: 7. Postcritical branching patterns for cylindrical shell subjected to uniform external loading; title: 8. Postbuckling behaviour and stability of anisotropic shells.