The determining of stressed state in the elastic body with a broken line shaped inclusion when the harmonic oscillations of the longitudinal shear

The problem the determining of stressed state in the vicinity of the tunnel rigid inclusion when it's cross-section a broken is considered. The inclusion is located in an infinite elastic medium and harmonic shear force impacts on it. It is supposed the inclusion is fully coupled with the mediu...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1474; no. 1; pp. 12026 - 12034
Main Authors Litvin, O V, Popov, V G
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2020
Subjects
Asymptotic methods
Elastic bodies
Elastic media
Harmonic oscillation
Numerical methods
Physics
Shear forces
Singular integral equations
Singularity (mathematics)
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Summary:The problem the determining of stressed state in the vicinity of the tunnel rigid inclusion when it's cross-section a broken is considered. The inclusion is located in an infinite elastic medium and harmonic shear force impacts on it. It is supposed the inclusion is fully coupled with the medium. The problem is reduced to the solution of at system singular integral equations with fixed singularities. A numerical method of the solving of this system with regard to true asymptotic of the unknown functions is developed.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1474/1/012026