The plane mixed problem for an elastic semi-strip under different load types at its short edge

Oleksandr Menshykov, Olena Reut, Viktor Reut, Natalya Vaysfeld, Zinaida Zhuravlova*

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Citations (Scopus)
4 Downloads (Pure)

Abstract

The mixed problem for the fixed semi-strip is investigated in this article for the three cases of the applied mechanical load. The solution of the boundary problem is reduced to the solution of the singular integral equation (SIE) with regard to the unknown displacements derivative. Three cases of SIE are investigated: when the mechanical load is applied on the center of the semi-strips edge, when the mechanical load is distributed near the left lateral side and when the mechanical load is distributed on the whole semi-strip's edge. In the first case SIE is solved by the using of the orthogonal polynomials method. In the second and third cases the corresponding transcendental equations to SIE are constructed, and the SIE are solved with the help of the generalized method. The stress state of the semi-strip is investigated for the three cases.

Original languageEnglish
Pages (from-to)526-530
Number of pages5
JournalInternational Journal of Mechanical Sciences
Volume144
Early online date25 May 2018
DOIs
Publication statusPublished - Aug 2018

Fingerprint

singular integral equations
Integral equations
strip
polynomials
Polynomials
Derivatives

Keywords

  • Fixed singularity
  • Generalized method
  • Orthogonal polynomials method
  • Semi-strip
  • Singular integral equation

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

The plane mixed problem for an elastic semi-strip under different load types at its short edge. / Menshykov, Oleksandr; Reut, Olena; Reut, Viktor; Vaysfeld, Natalya; Zhuravlova, Zinaida.

In: International Journal of Mechanical Sciences, Vol. 144, 08.2018, p. 526-530.

Research output: Contribution to journalArticle

Menshykov, Oleksandr ; Reut, Olena ; Reut, Viktor ; Vaysfeld, Natalya ; Zhuravlova, Zinaida. / The plane mixed problem for an elastic semi-strip under different load types at its short edge. In: International Journal of Mechanical Sciences. 2018 ; Vol. 144. pp. 526-530.
@article{bafa3046930a4d7cbdd780b895b98820,
title = "The plane mixed problem for an elastic semi-strip under different load types at its short edge",
abstract = "The mixed problem for the fixed semi-strip is investigated in this article for the three cases of the applied mechanical load. The solution of the boundary problem is reduced to the solution of the singular integral equation (SIE) with regard to the unknown displacements derivative. Three cases of SIE are investigated: when the mechanical load is applied on the center of the semi-strips edge, when the mechanical load is distributed near the left lateral side and when the mechanical load is distributed on the whole semi-strip's edge. In the first case SIE is solved by the using of the orthogonal polynomials method. In the second and third cases the corresponding transcendental equations to SIE are constructed, and the SIE are solved with the help of the generalized method. The stress state of the semi-strip is investigated for the three cases.",
keywords = "Fixed singularity, Generalized method, Orthogonal polynomials method, Semi-strip, Singular integral equation",
author = "Oleksandr Menshykov and Olena Reut and Viktor Reut and Natalya Vaysfeld and Zinaida Zhuravlova",
year = "2018",
month = "8",
doi = "10.1016/j.ijmecsci.2018.05.049",
language = "English",
volume = "144",
pages = "526--530",
journal = "International Journal of Mechanical Sciences",
issn = "0020-7403",
publisher = "Elsevier",

}

TY - JOUR

T1 - The plane mixed problem for an elastic semi-strip under different load types at its short edge

AU - Menshykov, Oleksandr

AU - Reut, Olena

AU - Reut, Viktor

AU - Vaysfeld, Natalya

AU - Zhuravlova, Zinaida

PY - 2018/8

Y1 - 2018/8

N2 - The mixed problem for the fixed semi-strip is investigated in this article for the three cases of the applied mechanical load. The solution of the boundary problem is reduced to the solution of the singular integral equation (SIE) with regard to the unknown displacements derivative. Three cases of SIE are investigated: when the mechanical load is applied on the center of the semi-strips edge, when the mechanical load is distributed near the left lateral side and when the mechanical load is distributed on the whole semi-strip's edge. In the first case SIE is solved by the using of the orthogonal polynomials method. In the second and third cases the corresponding transcendental equations to SIE are constructed, and the SIE are solved with the help of the generalized method. The stress state of the semi-strip is investigated for the three cases.

AB - The mixed problem for the fixed semi-strip is investigated in this article for the three cases of the applied mechanical load. The solution of the boundary problem is reduced to the solution of the singular integral equation (SIE) with regard to the unknown displacements derivative. Three cases of SIE are investigated: when the mechanical load is applied on the center of the semi-strips edge, when the mechanical load is distributed near the left lateral side and when the mechanical load is distributed on the whole semi-strip's edge. In the first case SIE is solved by the using of the orthogonal polynomials method. In the second and third cases the corresponding transcendental equations to SIE are constructed, and the SIE are solved with the help of the generalized method. The stress state of the semi-strip is investigated for the three cases.

KW - Fixed singularity

KW - Generalized method

KW - Orthogonal polynomials method

KW - Semi-strip

KW - Singular integral equation

UR - http://www.scopus.com/inward/record.url?scp=85048742428&partnerID=8YFLogxK

U2 - 10.1016/j.ijmecsci.2018.05.049

DO - 10.1016/j.ijmecsci.2018.05.049

M3 - Article

VL - 144

SP - 526

EP - 530

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

ER -