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Materials - Mechanics | Nonlinear Behaviour and Stability of Thin-Walled Shells

Nonlinear Behaviour and Stability of Thin-Walled Shells

Obodan, Natalia I., Lebedeyev, Olexandr G., Gromov, Vasilii A.

2013, VII, 178 p. 167 illus.

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  • About this book

  • Critical load estimates for the most popular thin-walled structures
  • Treats complete pattern of post-critical branches for the non-linear boundary problem of shell theory
  • One-stop resource
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.

Content Level » Research

Keywords » Buckling - Non-linear Post-critical Deformation - SMIA - Secondary and Tertiary Bifurcation Paths - Stability of Thin-walled Shells

Related subjects » Computational Intelligence and Complexity - Computational Science & Engineering - Mechanical Engineering - Mechanics

Table of contents 

1. In lieu of introduction

2. Boundary problem of thin shells theory

3. Branching of nonlinear boundary problem solutions

4. Numerical method

5. Non-axisymmetrically loaded cylindrical shell

6. Structurally non-axisymetric shell subjected to uniform loading

7. Postcritical branching patterns for cylindrical shell subjected to uniform external loading

8. Postbuckling behaviour and stability of anisotropic shells

9. Conclusion

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