Keele Research Repository
Explore the Repository
Wang, M and Fu, Y ORCID: https://orcid.org/0000-0002-9617-0420
(2021)
Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation.
International Journal of Engineering Science, 159.
![]() |
Text
wang-mi-fu-revised.pdf - Accepted Version Restricted to Repository staff only until 3 December 2022. Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (759kB) |
Abstract
A weakly nonlinear analysis is conducted for localized necking of a hyperelastic solid cylinder under axial stretching based on the exact theory of nonlinear elasticity. The amplitude equation derived is shown to be consistent with the one-dimensional model recently proposed by Audoly and Hutchinson (J. Mech. Phys. Solids 97, 2016, 68–91). It is shown that results based on the infinite-length approximation are sufficiently accurate even for cylinders with very moderate length/diameter ratios. In contrast, a weakly nonlinear analysis based on the finite length is only valid for very stubby cylinders and for axial force much closer to its bifurcation value than anticipated.
Item Type: | Article |
---|---|
Additional Information: | The final version of this accepted manuscript can be found online at; https://www.sciencedirect.com/science/article/pii/S0020722520302196?via%3Dihub#! |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Related URLs: | |
Depositing User: | Symplectic |
Date Deposited: | 18 Feb 2021 10:50 |
Last Modified: | 18 Feb 2021 10:50 |
URI: | https://eprints.keele.ac.uk/id/eprint/9161 |
Actions (login required)
![]() |
View Item |