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On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions (2002.02810v1)
Published 21 Jan 2020 in math.AP, cs.NA, math-ph, math.MP, and math.NA
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.
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