On a limiting passage in the conjugation thin inclusions problem in elastic bodies

In the paper, an equilibrium problem for an elastic body with a crack crossing a thin inclusion at some point is analyzed. As a result, the crack divides the inclusion of two parts. One part of the inclusion is a rigid and the other is an elastic. The elastic inclusion is modeled by a Bernoulli – Eu...

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Bibliographic Details
Main Author: Nikolaeva, Natalia
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
Conjugation
Elastic bodies
Elastic limit
Inclusions
Online Access:Get full text
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Summary:In the paper, an equilibrium problem for an elastic body with a crack crossing a thin inclusion at some point is analyzed. As a result, the crack divides the inclusion of two parts. One part of the inclusion is a rigid and the other is an elastic. The elastic inclusion is modeled by a Bernoulli – Euler beam. The conjugation conditions of these inclusions at a given point are considered. To exclude a mutual penetration between inclusions, inequality type boundary conditions are imposed. Nonlinear boundary conditions are also considered at the crack faces.The main goal of the paper is to justify a passage to the limit as the rigidity parameter of the thin inclusion goes to infinity.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0107253