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Elastic wave dispersion in microstructured membranes

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journal contribution
posted on 15.01.2013, 15:17 authored by Mariateresa LombardoMariateresa Lombardo, Harm Askes
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.

History

School

  • Architecture, Building and Civil Engineering

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.

Publisher

Royal Society Publishing (© the authors)

Version

AM (Accepted Manuscript)

Publication date

2010

Notes

This article was accepted for publication in the Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences: http://rspa.royalsocietypublishing.org/

ISSN

1364-5021

eISSN

1471-2946

Language

en