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

Formal asymptotic algorithms are considered for a class of meso-scale approximations for problems of vibration of elastic membranes that contain clusters of small inertial inclusions distributed along contours of predefined 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.

Authors
Maz'ya V.G. 1, 2, 3 , Movchan A.B.2 , Nieves M.J.4, 5
Publisher
American Mathematical Society
Number of issue
3
Language
English
Pages
551-564
Status
Published
Volume
32
Year
2021
Organizations
  • 1 Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
  • 2 Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England
  • 3 RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia
  • 4 Keele Univ, Sch Comp & Math, Keele ST5 5BG, Staffs, England
  • 5 Univ Cagliari, Dept Mech Chem & Mat Engn, I-09123 Cagliari, Italy
Keywords
Two-dimensional elastic membranes; clusters of small inclusions; inertia of inclusions
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74642/
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