### Abstract

Following a classical plate bending theory of magneto-elasticity, 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. An incident wave giving rise to moments symmetric about the crack plane is applied. It is assumed that the plate has the electric and magnetic permeabilities of the free space. By the use of Fourier transforms we reduce the problem to solving a pair of dual integral equations. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically. It is found that the existence of the magnetic field produces higher singular moments near the crack tip.

Original language | English |
---|---|

Pages (from-to) | 828-834 |

Number of pages | 7 |

Journal | Journal of Applied Mechanics, Transactions ASME |

Volume | 64 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1997 Dec |

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering

## Fingerprint Dive into the research topics of 'Flexural wave scattering at a through crack in a conducting plate under a uniform magnetic field'. Together they form a unique fingerprint.

## Cite this

*Journal of Applied Mechanics, Transactions ASME*,

*64*(4), 828-834. https://doi.org/10.1115/1.2788988