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On solvability of initial boundary-value problems of micropolar elastic shells with rigid inclusions

Abstract

The problem of dynamics of a linear micropolar shell with a finite set of rigid inclusions is considered. The equations of motion consist of the system of partial differential equations (PDEs) describing small deformations of an elastic shell and ordinary differential equations (ODEs) describing the motions of inclusions. Few types of the contact of the shell with inclusions are considered. The weak setup of the problem is formulated and studied. It is proved a theorem of existence and uniqueness of a weak solution for the problem under consideration.

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DOI:
Digital Object Identifier (open in new tab) 10.1177/10812865211073149
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Copyright (2022 SAGE Publications)

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
MATHEMATICS AND MECHANICS OF SOLIDS no. 27, pages 1800 - 1812,
ISSN: 1081-2865
Language:
English
Publication year:
2022
Bibliographic description:
Eremeev V., Lebedev L., Konopińska-Zmysłowska V.: On solvability of initial boundary-value problems of micropolar elastic shells with rigid inclusions// MATHEMATICS AND MECHANICS OF SOLIDS -Vol. 27,iss. 9 (2022), s.1800-1812
DOI:
Digital Object Identifier (open in new tab) 10.1177/10812865211073149
Verified by:
Gdańsk University of Technology

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