Transient Singular Stresses of a Finite Crack in an Elastic Conductor under Electromagnetic Force

Yasuhide Shindo; Hitoshi Tamura; Yasushi Atobe

doi:10.1299/kikaia.56.278

Transient Singular Stresses of a Finite Crack in an Elastic Conductor under Electromagnetic Force

Yasuhide Shindo, Hitoshi Tamura, Yasushi Atobe

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper deals with the electromagneto-elastic problem of a conductor with a finite crack under an impulsive electric current flow and a constant magnetic field. The crack disturbs the current flow and anti-plane shear stresses are caused by the interaction between the magnetic field and the disturbed current. Laplace and Fourier transforms are used to reduce the electromagnetoelastic problem to a Fredholm integral equation of the second kind in the Laplace transform plane. A numerical Laplace inversion routine is used to recover the time dependence of the solution. Numerical results on the dynamic stress intensity factor are obtained and are presented in a graphical form.

Original language	English
Pages (from-to)	278-282
Number of pages	5
Journal	Transactions of the Japan Society of Mechanical Engineers Series A
Volume	56
Issue number	522
DOIs	https://doi.org/10.1299/kikaia.56.278
Publication status	Published - 1990
Externally published	Yes

Keywords

Conductor
Elasticity
Electromagnetic Force
Finite Crack
Integral Transform
Stress Intensity Factor
Stress Wave
Transient Response

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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10.1299/kikaia.56.278

Cite this

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title = "Transient Singular Stresses of a Finite Crack in an Elastic Conductor under Electromagnetic Force",

abstract = "This paper deals with the electromagneto-elastic problem of a conductor with a finite crack under an impulsive electric current flow and a constant magnetic field. The crack disturbs the current flow and anti-plane shear stresses are caused by the interaction between the magnetic field and the disturbed current. Laplace and Fourier transforms are used to reduce the electromagnetoelastic problem to a Fredholm integral equation of the second kind in the Laplace transform plane. A numerical Laplace inversion routine is used to recover the time dependence of the solution. Numerical results on the dynamic stress intensity factor are obtained and are presented in a graphical form.",

keywords = "Conductor, Elasticity, Electromagnetic Force, Finite Crack, Integral Transform, Stress Intensity Factor, Stress Wave, Transient Response",

author = "Yasuhide Shindo and Hitoshi Tamura and Yasushi Atobe",

year = "1990",

doi = "10.1299/kikaia.56.278",

language = "English",

volume = "56",

pages = "278--282",

journal = "Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A",

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publisher = "Japan Society of Mechanical Engineers",

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T1 - Transient Singular Stresses of a Finite Crack in an Elastic Conductor under Electromagnetic Force

AU - Shindo, Yasuhide

AU - Tamura, Hitoshi

AU - Atobe, Yasushi

PY - 1990

Y1 - 1990

N2 - This paper deals with the electromagneto-elastic problem of a conductor with a finite crack under an impulsive electric current flow and a constant magnetic field. The crack disturbs the current flow and anti-plane shear stresses are caused by the interaction between the magnetic field and the disturbed current. Laplace and Fourier transforms are used to reduce the electromagnetoelastic problem to a Fredholm integral equation of the second kind in the Laplace transform plane. A numerical Laplace inversion routine is used to recover the time dependence of the solution. Numerical results on the dynamic stress intensity factor are obtained and are presented in a graphical form.

AB - This paper deals with the electromagneto-elastic problem of a conductor with a finite crack under an impulsive electric current flow and a constant magnetic field. The crack disturbs the current flow and anti-plane shear stresses are caused by the interaction between the magnetic field and the disturbed current. Laplace and Fourier transforms are used to reduce the electromagnetoelastic problem to a Fredholm integral equation of the second kind in the Laplace transform plane. A numerical Laplace inversion routine is used to recover the time dependence of the solution. Numerical results on the dynamic stress intensity factor are obtained and are presented in a graphical form.

KW - Conductor

KW - Elasticity

KW - Electromagnetic Force

KW - Finite Crack

KW - Integral Transform

KW - Stress Intensity Factor

KW - Stress Wave

KW - Transient Response

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DO - 10.1299/kikaia.56.278

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JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

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ER -

Transient Singular Stresses of a Finite Crack in an Elastic Conductor under Electromagnetic Force

Abstract

Keywords

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