Bifurcation analysis of elastic residually-stressed circular cylindrical tubes

Melnikov, A., Ogden, R. W. , Dorfmann, L. and Merodio, J. (2021) Bifurcation analysis of elastic residually-stressed circular cylindrical tubes. International Journal of Solids and Structures, 226-27, 111062. (doi: 10.1016/j.ijsolstr.2021.111062)

Abstract

The theory of superimposed incremental elastic deformations is applied to a de-formed con_guration of a residually-stressed circular cylindrical tube. The tube issubject to internal or external pressure and an axial load that maintain its circular cylindrical shape, and then bifurcations from this shape are analyzed. Detailed 1 Highlighted Revision governing equations and boundary conditions are provided for axisymmetric, pris- matic and asymmetric bifurcations for a general form of strain-energy function that incorporates radial and circumferential residual stress components. The theory is applied to a simple model strain-energy function with two material parameters and a parameter that reects the magnitude of the residual stress. Numerical computa-tions are used to illustrate the dependence of the results of the bifurcation analysis on these parameters and the axial and radial underlying deformation. It is shown that in general the presence of residual stress has a signi_cant e_ect compared with the corresponding results without residual stress.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Melnikov, Mr Andrey and Ogden, Professor Raymond
• Authors: Melnikov, A., Ogden, R. W., Dorfmann, L., and Merodio, J.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: International Journal of Solids and Structures
• Journal Abbr.: IJSS
• Publisher: Elsevier
• ISSN: 0020-7683
• ISSN (Online): 1879-2146
• Published Online: 24 April 2021
• Copyright Holders: Copyright © 2021 Elsevier Ltd.
• First Published: First published in International Journal of Solids and Structures 226-227: 111062
• Publisher Policy: Reproduced in accordance with the publisher copyright policy