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The scattering of oblique flexural waves of a cracked conducting plate in a uniform magnetic field

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Summary

Following a classical plate bending theory for magneto-elastic interactions under quasistatic electromagnetic field, we consider the scattering of time harmonic flexural waves by a through crack in a conducting plate under a uniform magnetic field normal to the crack surface. It is assumed that the plate has the finite electric conductivity, and the electric and magnetic permeabilities of the free space. An incident wave giving rise to moments symmetric about the crack plane is applied in an arbitrary direction. Fourier transform method is used to solve the mixed boundary value problem which reduces to a pair of dual integral equations. These dual integral equations are further reduced to a Fredholm integral equation of the second kind. The dynamic moment intensity factor versus frequency for several values of incident angle is computed and the influence of the magnetic field on the normalized values is displayed graphically.

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References

  1. Shindo, Y., Ohnishi, I., Suzuki, S.: Dynamic singular moments in a perfectly conducting plate with a through crack under a magnetic field. In: ASME mechanics of electromagnetic materials and structures (Lee, J. S., Maugin, G. A., Shindo, Y., eds), pp. 87–97. AMD-Vol. 161, MD-Vol. 42, 1993.

  2. Dunkin, J. W., Eringen, A. C.: On the propagation of waves in an electromagnetic elastic solid. Int. J. Eng. Sci.1, 461–495 (1963).

    Article  Google Scholar 

  3. Ambartsumian, S. A., Bagdasarian, G. E., Belubekian, M. V.: On the three-dimensional problem of magnetoelastic plate vibrations. J. Appl. Math. Mech. (PMM)35, 184–195 (1971).

    Article  Google Scholar 

  4. Ambartsumian, S. A., Bagdasarian, G. E., Belubekian, M. V.: On the equations of magnetoelastic thin plate. J. Appl. Math. Mech. (PMM)39, 922–926 (1975).

    Article  Google Scholar 

  5. Fung, Y. C.: Foundation of solid mechanics, p. 434. Englewood Cliffs: Prentice-Hall, 1965.

    Google Scholar 

  6. Shindo, Y.: Magneto-mechanical behavior of first wall materials. Fusion Eng. Des.16, 317–322 (1991).

    Article  Google Scholar 

  7. Sih, G. C., Chen, E. P.: Mechanics of fracture, Vol. 3; Plates and shells with cracks, p. 231. Leyden: Noordhoff 1977.

    Google Scholar 

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Author notes

  1. Y. Shindo & S. Toyama

    Present address: Department of Materials Processing, Graduate School of Engineering, Tohoku University, 980-77, Sendai, Miyagi, Japan

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    1. Y. Shindo
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    2. S. Toyama
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    Shindo, Y., Toyama, S. The scattering of oblique flexural waves of a cracked conducting plate in a uniform magnetic field. Acta Mechanica 128, 15–27 (1998). https://doi.org/10.1007/BF01463156

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    • DOI: https://doi.org/10.1007/BF01463156

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