Dynamic analysis of a penny-shaped dielectric crack in a magnetoelectroelastic solid under impacts

18Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.
Get full text

Abstract

The transient response of a magneto-electro-elastic material with a penny-shaped dielectric crack subjected to in-plane magneto-electro-mechanical impacts is made. To simulate an opening crack with a dielectric interior, the crack-face electromagnetic boundary conditions are supposed to depend on the crack opening displacement and the jumps of electric and magnetic potentials across the crack. Four ideal crack-face electromagnetic boundary conditions involving a combination of electrically permeable or impermeable and magnetically permeable or impermeable assumptions can be reduced. The Laplace and Hankel transform techniques are further utilized to solve the mixed initial-boundary-value problem. Three coupling Fredholm integral equations are obtained and solved by the composite Simpson's rule. Dynamic field intensity factors of stress, electric displacement, magnetic induction, crack opening displacement (COD), electric potential and magnetic potential are given in the Laplace transform domain. By means of a numerical inversion of the Laplace transform, numerical results are calculated to show the variations of the physical parameters of concern versus the normalized time in graphics. The effects of applied electric and magnetic loads on the dynamic intensity factors of stress and COD, and the dynamic energy release rate for a BaTiO3-CoFe2O4 composite with a penny-shaped vacuum crack are discussed in detail. © 2009 Elsevier Masson SAS. All rights reserved.

Cite

CITATION STYLE

APA

Zhong, X. C., & Zhang, K. S. (2010). Dynamic analysis of a penny-shaped dielectric crack in a magnetoelectroelastic solid under impacts. European Journal of Mechanics, A/Solids, 29(2), 242–252. https://doi.org/10.1016/j.euromechsol.2009.10.002

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free