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A penny‐shaped magnetically dielectric crack in a magnetoelectroelastic cylinder under magnetoelectromechanical loads
Author(s) -
Liu L. L.,
Feng W. J.,
Ma P.
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201500049
Subject(s) - electric displacement field , hankel transform , materials science , cylinder , displacement current , nonlinear system , displacement (psychology) , magnetic field , dielectric , mechanics , radius , electric field , permittivity , crack tip opening displacement , boundary value problem , stress intensity factor , composite material , mathematical analysis , physics , mathematics , geometry , fracture mechanics , piezoelectricity , computer science , psychology , optoelectronics , computer security , bessel function , quantum mechanics , psychotherapist
In this paper the fracture behaviors of magnetoelectroelastic cylinder induced by a penny‐shaped magnetically dielectric crack are investigated. By employing the Hankel transform technique and introducing three auxiliary functions, the complex question is transformed to solve three coupled nonlinear Fredholm integral equations. The intensity factors of stress, electric displacement, magnetic induction and crack opening displacement (COD) are derived in closed forms. The effects of the radius of the cylinder, applied electric field and magnetic field, dielectric permittivity and magnetic permeability of the crack interior on the COD intensity factor are illustrated numerically. The results corresponding to magnetoelectrically permeable and impermeable boundary conditions are only the special cases of the present model.