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The influence of an external magnetic field on the dynamic stress of an elastic conducting one-sided layer with a longitudinal shear crack

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Abstract

We study the interaction of a magnetoelastic shear wave with a curvilinear tunnel crack in an ideally conducting diamagnetic (resp. paramagnetic) one-sided (resp. two-sided) layer in the presence of an external static magnetic field. The bases of the one-sided layer are free of mechanical load, and the rim of the face is clamped or free. The corresponding linearized boundary-value problem of magnetoelasticity is reduced to a singular integrodifferential equation with subsequent implementation on a computer. We give numerical results that characterize the influence of the size of the preliminary magnetic field, the frequencies of the load, the curvature, and the orientation of the crack on the stress intensity factor.

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Authors
  1. L. A. Fil'shtinskii
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  2. V. I. Ostrik
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Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 23, 1992, pp. 96–102.

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Fil'shtinskii, L.A., Ostrik, V.I. The influence of an external magnetic field on the dynamic stress of an elastic conducting one-sided layer with a longitudinal shear crack. J Math Sci 76, 2415–2419 (1995). https://doi.org/10.1007/BF02362911

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  • DOI: https://doi.org/10.1007/BF02362911

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