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Stress State of a Transversely Isotropic Ferromagnetic with an Elliptic Crack in a Homogeneous Magnetic Field

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Abstract

The magnetoelastic stress-strain problem for a transversely isotropic ferromagnetic body with an elliptical crack in the isotropy plane is solved explicitly. The body is in an external magnetic field perpendicular to the isotropy plane. The magnetic field induces elastic strains and an internal magnetic field in the body. The main characteristics of stress-strain state and induced magnetic field are determined and their features in the neighborhood of the crack are analyzed. Formulas for the stress intensity factors of the mechanical and magnetic fields near the crack tip are presented

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    Yu. N. Podil’chuk & I. Yu. Podil’chuk

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  1. Yu. N. Podil’chuk
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  2. I. Yu. Podil’chuk
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 1, pp. 48–59, January 2005.

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Podil’chuk, Y.N., Podil’chuk, I.Y. Stress State of a Transversely Isotropic Ferromagnetic with an Elliptic Crack in a Homogeneous Magnetic Field. Int Appl Mech 41, 32–41 (2005). https://doi.org/10.1007/s10778-005-0055-y

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  • DOI: https://doi.org/10.1007/s10778-005-0055-y

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