Stability of long transversely-isotropic elastic cylindrical shells under bending

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:47

Article

Houliara, Sotiria¹  Karamanos, Spyros A.¹ 

[1] Univ Thessaly, Dept Mech Engn, Volos 38334, Greece

关键词: Stability;    Buckling;    Postbuckling;    Imperfection sensitivity;    Anisotropy;    Finite elements;    Cylindrical shell;   

DOI  :  10.1016/j.ijsolstr.2009.09.004

来源: Elsevier

【 摘 要 】

The present paper investigates buckling of cylindrical shells of transversely-isotropic elastic material subjected to bending, considering the nonlinear prebuckling ovalized configuration. A large-strain hypoelastic model is developed to simulate the anisotropic material behavior, The model is incorporated in a finite-element formulation that uses a special-purpose tube element. For comparison purposes, a hyperelastic model is also employed. Using an eigenvalue analysis, bifurcation on the prebuckling ovalization path to a uniform wrinkling state is detected. Subsequently, the postbuckling equilibrium path is traced through a continuation arc-length algorithm. The effects of anisotropy on the bifurcation moment, the corresponding curvature and the critical wavelength are examined, for a wide range of radius-to-thickness ratio values. The calculated values of bifurcation moment and curvature are also compared with analytical predictions, based on a heuristic argument. Finally, numerical results for the imperfection sensitivity of bent cylinders are obtained, which show good comparison with previously reported asymptotic expressions. (C) 2009 Elsevier Ltd. All rights reserved.

【 授权许可】

Free