## Abstract

In this work, electro-magneto-elastic coupling in electrically conductive laminated composite plates is considered. The analysis is based on simultaneous solving of the system of nonlinear partial differential equations, including equations of motion and Maxwell's equations. The mechanical and electromagnetic fields are coupled through the Lorentz ponderomotive force in the equation of motion and also the velocity terms in the electromagnetic constitutive equations. A new 2D model for the electrically conductive laminated composite subjected to mechanical and electromagnetic loads has been developed. The model is based on the extension of the 2D model for transversely isotropic electrically conductive plates and utilizes physics-based simplifying hypotheses for both mechanical and electromagnetic parts. The numerical solution procedure for the 2D nonlinear system of governing PDEs consists of a sequential application of finite difference time and spatial (with respect to one coordinate) integration schemes, method of lines (MOL), quasilinearization, and a finite difference spatial integration of the obtained two-point boundary-value problem. Eventually, the final solution is obtained by the application of the superposition method followed by orthonormalization. The developed models and solution methodology are applied to the problem of the dynamic response of carbon fiber polymer matrix composite plates subjected to transverse impact load and in-plane electromagnetic load. The numerical results show that both the magnitude and direction of the electromagnetic loads have a significant influence on the dynamic response of the composite plate subjected to impact. The electromagnetic load can change the amplitude and pattern of vibrations of the plate. Moreover, a damping effect in vibration amplitudes was observed for rather large external magnetic inductions. It has been found that the effect of the application of the electromagnetic load is more apparent in a unidirectional composite plate (i.e., a single-layer plate) than in a cross-ply plate. Overall, the amplitude of the mechanical vibrations and the magnitude of stresses in the electrically conductive plate can be significantly reduced by the application of an appropriate combination of a pulsed electric current and magnetic induction during the occurrence of the impact and also afterwards.

Original language | English (US) |
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Title of host publication | 28th Annual Technical Conference of the American Society for Composites 2013, ASC 2013 |

Pages | 1083-1099 |

Number of pages | 17 |

State | Published - 2013 |

Externally published | Yes |

Event | 28th Annual Technical Conference of the American Society for Composites 2013, ASC 2013 - State College, PA, United States Duration: Sep 9 2013 → Sep 11 2013 |

### Publication series

Name | 28th Annual Technical Conference of the American Society for Composites 2013, ASC 2013 |
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Volume | 2 |

### Conference

Conference | 28th Annual Technical Conference of the American Society for Composites 2013, ASC 2013 |
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Country/Territory | United States |

City | State College, PA |

Period | 9/9/13 → 9/11/13 |

## ASJC Scopus subject areas

- Ceramics and Composites