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Stressed State of a Magnetically Soft Ferromagnetic Material with a Parabolic Crack Acted on by a Uniform Magnetic Field

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Abstract

The stressed-deformed state of an unbounded isotropic body consisting of a magnetically soft ferromagnetic material and containing a parabolic crack is examined. It is assumed that the body is acted on by an external magnetic field perpendicular to the plane of the crack. The major characteristics of the stressed-deformed state and the induced magnetic field are determined and their features near the parabolic crack are studied. Formulas are given for determining the stress intensity factors for the mechanical force and magnetic fields at the crack vertex.

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REFERENCES

  1. V. V. Panasyuk, E. A. Andreikiv, and V. Z. Parton, Elements of Mechanical Fracture in Materials [in Russian], Kiev (1988). (Fracture Mechanics and the Strength of Materials: A Handbook, Vol. 1 of 4 Vols.).

  2. D. D. Asanyan and G. E. Bagdasaryan, “Stressed-deformed state produced by an external magnetic field in a magnetoelastic layer with a crack, ” Izv. RAN, Mekhanika Tverdogo Tela, No. 4, 61–68 (1997).

  3. Y. Shindo, “The linear magnetoelastic problem for a soft ferromagnetic elastic solid with a finite crack, ” ASME J. Appl. Mech. 44, 47 (1977).

    Google Scholar 

  4. D. D. Asanyan, A. A. Aslanyan, and G. E. Bagdasaryan, “Concentration of elastic stresses and magnetic field induced along a crack by an external magnetic field, ” Izv. AN Arm. SSR, No. 2, 15–24 (1988).

  5. Y. H. Pao and C. S. Yeh, “A linear theory for soft ferromagnetic elastic solids, ” Int. J. Engin. Sci. 11, 415 (1973).

    Google Scholar 

  6. Yu. N. Podil'chuk, “Stressed state of a transversally isotropic medium with a parabolic crack, ” Prikl. Mekh., 30, No. 7, 3–8 (1994).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    Yu. N. Podil'chuk

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  1. Yu. N. Podil'chuk
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Podil'chuk, Y.N. Stressed State of a Magnetically Soft Ferromagnetic Material with a Parabolic Crack Acted on by a Uniform Magnetic Field. Journal of Mathematical Sciences 103, 287–295 (2001). https://doi.org/10.1023/A:1011385408380

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  • DOI: https://doi.org/10.1023/A:1011385408380

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