Yibin Fu y.fu@keele.ac.uk
Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation
Fu
Authors
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.
Acceptance Date | Nov 14, 2020 |
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Publication Date | Feb 1, 2021 |
Publicly Available Date | Mar 28, 2024 |
Journal | International Journal of Engineering Science |
Print ISSN | 0020-7225 |
Publisher | Elsevier |
DOI | https://doi.org/10.1016/j.ijengsci.2020.103432 |
Keywords | Localized necking, Hyperelasticity, Nonlinear analysis, Bifurcation, Stability |
Publisher URL | https://www.sciencedirect.com/science/article/abs/pii/S0020722520302196?via%3Dihub |
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Publisher Licence URL
https://creativecommons.org/licenses/by-nc-nd/4.0/
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