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Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions.

Nieves

Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions. Thumbnail


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Abstract

We present formal asymptotic approximations of fields representing the in-plane dynamic response of elastic solids containing clusters of closely interacting small rigid inclusions. For finite densely perforated bodies, the asymptotic scheme is developed to approximate the eigenfrequencies and the associated eigenmodes of the elastic medium with clamped boundaries. The asymptotic algorithm is also adapted to address the scattering of in-plane waves in infinite elastic media containing dense clusters. The results are accompanied by numerical simulations that illustrate the accuracy of the asymptotic approach. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.

Acceptance Date Apr 22, 2022
Publication Date Nov 28, 2022
Publicly Available Date Mar 28, 2024
Journal Philosophical Transactions A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-503X
Publisher The Royal Society
Pages -
DOI https://doi.org/10.1098/rsta.2021.0392
Publisher URL https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0392

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