ON MESO-SCALE APPROXIMATIONS FOR VIBRATIONS OF MEMBRANES WITH LOWER-DIMENSIONAL CLUSTERS OF INERTIAL INCLUSIONS

Maz'ya, VG, Movchan, AB and Nieves, MJ (2021) ON MESO-SCALE APPROXIMATIONS FOR VIBRATIONS OF MEMBRANES WITH LOWER-DIMENSIONAL CLUSTERS OF INERTIAL INCLUSIONS. ST PETERSBURG MATHEMATICAL JOURNAL, 32 (3). pp. 551-564.

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Official URL: http://dx.doi.org/10.1090/spmj/1661

Abstract

In this paper we consider formal asymptotic algorithms for a class of meso-scale approximations for problems of vibration of elastic membranes, which contain clusters of small inertial inclusions distributed along contours of pre-defined smooth shapes. Effective transmission conditions have been identified for inertial structured interfaces, and approximations to solutions of eigenvalue problems have been derived for domains containing lower-dimensional clusters of inclusions.

Item Type:	Article
Additional Information:	19 pages, 2 figures
Uncontrolled Keywords:	Two-dimensional elastic membranes, clusters of small inclusions, inertia of inclusions
Depositing User:	Symplectic Admin
Date Deposited:	09 Mar 2020 11:35
Last Modified:	18 Jan 2023 23:58
DOI:	10.1090/spmj/1661
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078320