TY - JOUR

T1 - The linear magnetoelastic problem of a uniform current flow disturbed by a penny-shaped crack in a constant axial magnetic field

AU - Shindo, Y.

N1 - Funding Information:
Acknowledgments-Thisw ork was supportedi n part by the Scientific ResearchF und of the Ministry of Education for the fiscal year 1984T. he authorw ould like to acknowledgeth e continuingg uidancea nd encouragemenotf Emeritus Professor Dr. A. Atsumi of Tohoku University.

PY - 1986

Y1 - 1986

N2 - This paper deals with the magnetoelastic problem of an infinite conductor with a penny-shaped crack under a uniform axial electric current flow and a constant axial magnetic field. The current flow is disturbed by the presence of the crack and the torsional stresses are caused by the interaction between the magnetic field and the disturbed current. Integral transform techniques are used to reduce two problems concerning the electric-current density field and the magnetoelastic field to those of solving two pairs of dual integral equations. These integral equations are solved exactly, and the current densities, the displacement of the crack surface and the singular stresses near the crack tip are expressed in closed forms.

AB - This paper deals with the magnetoelastic problem of an infinite conductor with a penny-shaped crack under a uniform axial electric current flow and a constant axial magnetic field. The current flow is disturbed by the presence of the crack and the torsional stresses are caused by the interaction between the magnetic field and the disturbed current. Integral transform techniques are used to reduce two problems concerning the electric-current density field and the magnetoelastic field to those of solving two pairs of dual integral equations. These integral equations are solved exactly, and the current densities, the displacement of the crack surface and the singular stresses near the crack tip are expressed in closed forms.

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U2 - 10.1016/0013-7944(86)90141-4

DO - 10.1016/0013-7944(86)90141-4

M3 - Article

AN - SCOPUS:0022532030

VL - 23

SP - 977

EP - 982

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

IS - 6

ER -