Waves and damage in structured solids with multi-scale resonators

Jones, I. S., Movchan, A. B. and Gei, Massimiliano ORCID: https://orcid.org/0000-0003-3869-7504 2011. Waves and damage in structured solids with multi-scale resonators. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467 (2128) , pp. 964-984. 10.1098/rspa.2010.0319

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Abstract

This paper presents asymptotic and numerical modelling of elastic waves interacting with micro-structured solids containing multi-scale resonators. The resonators may be damaged by transverse cracks at their foundations. One particular feature of the resonators used here is the presence of low-frequency eigenmodes. Asymptotic estimates of low eigenfrequencies are included in the model. Hence, the overall periodic structure containing such resonators may support low-frequency standing waves and possess low-frequency stop bands. The analytical model is accompanied by numerical simulations illustrating dispersion, localization and focusing within the structured multi-scale solids.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	Royal Society
ISSN:	1364-5021
Last Modified:	28 Oct 2022 09:17
URI:	https://orca.cardiff.ac.uk/id/eprint/74039

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