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Mode I crack in a soft ferromagnetic material

Liang, W. / Fang, D. / Shen, Y.

In the existing magnetoelastic theories, stress is proportional to the square of magnetic intensity and the linear model developed is usually used to analyse magnetoelastic problems. For a crack problem, the perturbation of the magnetic field caused by deformation is not much less than the applied field. In this paper, complex potentials for a mode I crack with a nonlinear relation for magnetic intensity are developed. The boundary conditions on crack faces are represented in terms of the continuity of the magnetic field. A solution of the crack problem is obtained by solving the Riemann-Hilbert problem. Making use of the solution, the effects of the boundary conditions on the crack faces on the magnetoelastic coupling are discussed.

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Mode I crack in a soft ferromagnetic material

Liang, W. / Fang, D. / Shen, Y.

In the existing magnetoelastic theories, stress is proportional to the square of magnetic intensity and the linear model developed is usually used to analyse magnetoelastic problems. For a crack problem, the perturbation of the magnetic field caused by deformation is not much less than the applied field. In this paper, complex potentials for a mode I crack with a nonlinear relation for magnetic intensity are developed. The boundary conditions on crack faces are represented in terms of the continuity of the magnetic field. A solution of the crack problem is obtained by solving the Riemann-Hilbert problem. Making use of the solution, the effects of the boundary conditions on the crack faces on the magnetoelastic coupling are discussed.

Mode I crack in a soft ferromagnetic material

Liang, W. / Fang, D. / Shen, Y.

In the existing magnetoelastic theories, stress is proportional to the square of magnetic intensity and the linear model developed is usually used to analyse magnetoelastic problems. For a crack problem, the perturbation of the magnetic field caused by deformation is not much less than the applied field. In this paper, complex potentials for a mode I crack with a nonlinear relation for magnetic intensity are developed. The boundary conditions on crack faces are represented in terms of the continuity of the magnetic field. A solution of the crack problem is obtained by solving the Riemann-Hilbert problem. Making use of the solution, the effects of the boundary conditions on the crack faces on the magnetoelastic coupling are discussed.

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Title:

Mode I crack in a soft ferromagnetic material

Contributors:

Liang, W. (author) / Fang, D. (author) / Shen, Y. (author)

Published in:

Fatigue and Fracture of Engineering Materials and Structures ; 25 ; 519-526

Publication date:

2002

Size:

8 Seiten, 15 Quellen

ISSN:

DOI:

https://doi.org/10.1046/j.1460-2695.2002.00511.x

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Riss , Spannungsanalyse , magnetischer Feldeffekt , Störgrößenaufschaltung , Randbedingung , Rissausbreitung , Elastizitätsmodul , Poisson-Zahl , weichmagnetischer Werkstoff , ferromagnetischer Werkstoff , Magnetoelastizität

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