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Asymptotic Solution of Elasticity Problem in the Vicinity of Irregular Boundary Point
https://orcid.org/http://orcid.org/0000-0003-3962-899X
The present paper presents a study of the stress-strain state (SSS) in the vicinity of an irregular boundary point. The distinctive feature of the solution of the boundary problem of the elasticity theory is stipulated by the boundary form: angular notches, cuts, and by the finite discontinuity (leap) of forced deformations in terms of the contact of the parts constituting the area coming to an irregular point of the area boundary. Stress-strain state in an irregular boundary point area is determined by solving the uniform elastic boundary value problem. For SSS analysis, strain and stress intensity factors are introduced in the vicinity of the irregular boundary point. The stress-strain state is analyzed in the area of an irregular boundary point, to be written by means of strain and stress intensity factors under recognition of their differences. The obtained SSS expression in the boundary notch area allows to write down the dominant term of the asymptotic behavior of the uniform boundary elasticity problem under recognition of the strain and stress intensity factors.
Asymptotic Solution of Elasticity Problem in the Vicinity of Irregular Boundary Point
https://orcid.org/http://orcid.org/0000-0003-3962-899X
The present paper presents a study of the stress-strain state (SSS) in the vicinity of an irregular boundary point. The distinctive feature of the solution of the boundary problem of the elasticity theory is stipulated by the boundary form: angular notches, cuts, and by the finite discontinuity (leap) of forced deformations in terms of the contact of the parts constituting the area coming to an irregular point of the area boundary. Stress-strain state in an irregular boundary point area is determined by solving the uniform elastic boundary value problem. For SSS analysis, strain and stress intensity factors are introduced in the vicinity of the irregular boundary point. The stress-strain state is analyzed in the area of an irregular boundary point, to be written by means of strain and stress intensity factors under recognition of their differences. The obtained SSS expression in the boundary notch area allows to write down the dominant term of the asymptotic behavior of the uniform boundary elasticity problem under recognition of the strain and stress intensity factors.
Asymptotic Solution of Elasticity Problem in the Vicinity of Irregular Boundary Point
https://orcid.org/http://orcid.org/0000-0003-3962-899X
The present paper presents a study of the stress-strain state (SSS) in the vicinity of an irregular boundary point. The distinctive feature of the solution of the boundary problem of the elasticity theory is stipulated by the boundary form: angular notches, cuts, and by the finite discontinuity (leap) of forced deformations in terms of the contact of the parts constituting the area coming to an irregular point of the area boundary. Stress-strain state in an irregular boundary point area is determined by solving the uniform elastic boundary value problem. For SSS analysis, strain and stress intensity factors are introduced in the vicinity of the irregular boundary point. The stress-strain state is analyzed in the area of an irregular boundary point, to be written by means of strain and stress intensity factors under recognition of their differences. The obtained SSS expression in the boundary notch area allows to write down the dominant term of the asymptotic behavior of the uniform boundary elasticity problem under recognition of the strain and stress intensity factors.
Asymptotic Solution of Elasticity Problem in the Vicinity of Irregular Boundary Point
Lecture Notes in Civil Engineering
Akimov, Pavel (Herausgeber:in) / Vatin, Nikolai (Herausgeber:in) / Frishter, Lyudmila (Autor:in)
International Conference on Russian-Polish-Slovak Seminar Theoretical Foundation of Civil Engineering ; 2021 ; Moscow, Russia
XXX Russian-Polish-Slovak Seminar Theoretical Foundation of Civil Engineering (RSP 2021) ; Kapitel: 30 ; 255-262
15.09.2021
8 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Vicinity of an irregular point of the boundary area , Stress-strain state , Stress intensity factors , Strain intensity factors , Asymptotic behavior of the boundary problem Engineering , Building Construction and Design , Geotechnical Engineering & Applied Earth Sciences , Transportation Technology and Traffic Engineering , Structural Materials
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