Tools

Garau, M, Nieves, MJ ORCID: https://orcid.org/0000-0003-4616-4548 and Jones, IS (2019) Alternating Strain Regimes for Failure Propagation in Flexural Systems. The Quarterly Journal of Mechanics and Applied Mathematics, 72 (3). 305 - 339.

[img]
Preview
 Text
Alt_regime_text.pdf - Accepted Version
Download (4MB) | Preview

Abstract

We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler–Bernoulli beams. A fault inside the structure is assumed to propagate with a constant speed and this occurs as a result of the action of a remote sinusoidal, mechanical load. The established regime of fracture corresponds to the case of an alternating generalised strain regime. The model is reduced to a Wiener–Hopf equation and its solution is presented. We determine the minimum feeding wave energy required for the steady-state fracture process to occur. In addition, we identify the dynamic features of the structure during the steady-state fracture regime. A transient analysis of this problem is also presented, where the existence of steady-state fracture regimes, revealed by the analytical model, are verified and the associated transient features of this process are discussed.

Item Type: Article
Additional Information: © The Author, 2019. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oup.com This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model) The final version of this article and any extra information required can be found at; https://academic.oup.com/qjmam/article/72/3/305/5488856
Uncontrolled Keywords: Discrete periodic media, mass-beam structures, fracture, Wiener-Hopf technique, numerical simulations.
Subjects: Q Science > QA Mathematics
T Technology > T Technology (General)
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 31 Jul 2020 12:30
Last Modified: 25 Mar 2021 12:10
URI: https://eprints.keele.ac.uk/id/eprint/8456

Actions (login required)

View Item View Item
Altmetric