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Garau, M, Nieves, MJ and Jones, IS (2019) Alternating strain regimes for failure propagation in flexural systems. Quarterly Journal of Mechanics and Applied Mathematics. ISSN 0033-5614
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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 |
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| Additional Information: | This is a pre-copyedited, author-produced version of an article accepted for publication in Quarterly Journal of Mechanics and Applied Mathematics following peer review. The version of record M Garau, M J Nieves, I S Jones, Alternating strain regimes for failure propagation in flexural systems, The Quarterly Journal of Mechanics and Applied Mathematics, , hbz008, is available online at: https://dx.doi.org/10.1093/qjmam/hbz008 |
| Uncontrolled Keywords: | physics.app-ph; physics.app-ph; cond-mat.soft; physics.class-ph; 74J40 |
| Subjects: | T Technology > TJ Mechanical engineering and machinery |
| Divisions: | Maritime & Mechanical Engineering (merged with Engineering 10 Aug 20) |
| Publisher: | Oxford University Press |
| Related URLs: | |
| Date Deposited: | 17 Jun 2019 11:16 |
| Last Modified: | 04 Sep 2021 09:17 |
| DOI or ID number: | 10.1093/qjmam/hbz008 |
| URI: | https://researchonline.ljmu.ac.uk/id/eprint/10882 |
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