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

Nieves

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)'.

Citation

Nieves. (2022). Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, -. https://doi.org/10.1098/rsta.2021.0392

• Acceptance Date: Apr 22, 2022
• Publication Date: Nov 28, 2022
• 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
• Public URL: https://keele-repository.worktribe.com/output/424732
• Publisher URL: https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0392