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Title: Elastic wave dispersion in microstructured membranes
Authors: Lombardo, Mariateresa
Askes, Harm
Keywords: Continualisation
Higher-order continuum
Lattice model
Padé approximation
Wave dispersion
Issue Date: 2010
Publisher: Royal Society Publishing (© the authors)
Citation: LOMBARDO, M. and ASKES, H., 2010. Elastic wave dispersion in microstructured membranes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466 (2118), pp.1789-1807.
Abstract: The effect of microstructural properties on the wave dispersion in linear elastic membranes is addressed in this paper. The periodic spring-mass lattice at the lower level of observation is continualised and a gradient-enriched membrane model is obtained to account for the characteristic microstructural length scale of the material. In the first part of this study, analytical investigations show that the proposed model is able to capture correctly the physical phenomena of wave dispersion in microstructured membrane which is overlooked by classical continuum theories. In the second part, a finite element discretisation of microstructured membrane is formulated by introducing the pertinent inertia and stiffness terms. Importantly, the proposed modifications do not increase the size of the problem with respect to the classical elasticity. Numerical simulations are included for validation purposes. The results confirm that the structural characteristics of the material can have a huge impact on the vibrational properties, particularly in the high-frequency range.
Description: This article was accepted for publication in the Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences: http://rspa.royalsocietypublishing.org/
Version: Accepted for publication
DOI: 10.1098/rspa.2009.0516
URI: https://dspace.lboro.ac.uk/2134/11454
Publisher Link: http://rspa.royalsocietypublishing.org/
ISSN: 1364-5021
Appears in Collections:Published Articles (Architecture, Building and Civil Engineering)

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