An electrically conducting interface crack with a contact zone in a piezoelectric bimaterial

Abstract

a b s t r a c tA plane problem for an electrically conducting interface crack in a piezoelectric bimaterial is studied. The bimaterial is polarized in the direction orthogonal to the crack faces and loaded by remote tension and shear forces and an electrical field parallel to the crack faces. All fields are assumed to be independent of the coordinate co-directed with the crack front. Using special presentations of electromechanical quantities via sectionally-analytic functions, a combined Dirichlet-Riemann and Hilbert boundary value problem is formulated and solved analytically. Explicit analytical expressions for the characteristic mechanical and electrical parameters are derived. Also, a contact zone solution is obtained as a particular case. For the determination of the contact zone length, a simple transcendental equation is derived. Stress and electric field intensity factors and, also, the contact zone length are found for various material combinations and different loadings. A significant influence of the electric field on the contact zone length, stress and electric field intensity factors is observed. Electrically permeable conditions in the crack region are considered as well and matching of different crack models has been performed.

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

“…Additionally, although the normal stress r 33 ðx 1 ; 0Þ is not singular in the right neighborhood of point b, its value remains very high in this region and perhaps can induce crack propagation. All these findings agree with the results given by Loboda et al (2014) in their conducting of crack modeling of piezoelectric bimaterial. Figs.…”

“…5 shows that the contact zone length decreases rapidly as the electric field increases. This means that a large negative electric field may produce a large contact zone for the present model, which is consistent with the results given by Loboda et al (2014) for conducting a crack model of piezoelectric bimaterial. In addition, Fig.…”

“…However, this solution leads to the appearance of the oscillating singularity at crack tip and the overlapping of crack faces (Loboda et al, 2014). Eliminate these unrealistic phenomenon is the physical reason of introducing the contact zone.…”

A general solution approach to dynamic contact between a sinusoidal rigid solid and piezoelectric materials with anisotropy

“…(19)- (23), and thereafter c i jkl and e li j in Eqs. (14) and (17) will be changed c i j and e i j .…”

“…Due to their special multiphase coupling features, piezoelectric materials/composites are attracting intensive researches from scientists and engineers [13,14]. Contact problems involving piezoelectric materials/composites were also considered.…”