A magnetically impermeable and electrically permeable interface crack with a contact zone in a magnetoelectroelastic bimaterial under concentrated magnetoelectromechanical loads on the crack faces

Abstract

An interface crack with a frictionless contact zone at the right crack-tip between two dissimilar magnetoelectroelastic materials under the action of concentrated magnetoelectromechanical loads on the crack faces is considered. The open part of the crack is assumed to be magnetically impermeable and electrically permeable. The Dirichlet-Riemann boundary value problem is formulated and solved analytically. Stress, magnetic induction and electrical displacement intensity factors as well as energy release rate are thus found in analytical forms. Analytical expressions for the contact zone length have been derived. Some numerical results are presented and compared with those based on the other crack surface conditions. It is shown clearly that the location and magnitude of the applied loads could significantly affect the contact zone length, the stress intensity factor and the energy release rate.interface crack, magnetoelectroelastic bimaterial, concentrated loads, contact zone length, fracture behaviors PACS: 44.05.+e, 46.25.Hf, 46.50.+a,

Fracture analysis of an electrically conductive interface crack with a contact zone in a magnetoelectroelastic bimaterial system

“…The governing equations and general solutions for MEE halfspaces in a Cartesian coordinate system are consistent with those in Feng et al (2011). Hence, for brevity, those equations will not be presented in this paper.…”

“…. ; 5Þ and the matrices M and N are found by means of the reconstruction of the matrices A and B in Feng et al (2011). They can be expressed as…”

“…This is the main reason behind structural failure. In the past couple of decades, many researchers have studied the interface crack problems of MEE materials (Gao and Noda, 2004;Li and Kardomateas, 2007;Herrmann et al, 2010;Zhu et al, 2010;Feng et al, 2011;Ma et al, 2012).…”

A penny-shaped crack in a magneto- electroelastic cylinder surrounded by a rigid body and subjected to magnetoelectro- mechanical loads

“…d 0 = c 33 ε 33 + e 2 33 ε ∞ − e 33 D ∞ + (e 33 g 33 − f 33 ε 33 ) H ∞ ε 33 , (B26) e 0 = D ∞ , f 0 = (f 33 ε 33 − e 33 g 33 ) ε ∞ + g 33 D ∞ + ε 33 μ 33 − g 2 33 H ∞ ε 33 .…”

“…Therefore, the fracture analysis of MEE solids with cracks is very important and numerous research achievements are made over the past two decades. Certainly, the main works are still concentrated on anti-plane problems [1][2][3][4][5][6][7][8][9][10][11][12][13], two-dimensional plane problems including internal crack [14][15][16][17][18][19][20][21][22][23][24][25][26] and interface crack problems [27][28][29][30][31][32][33].…”