A moving interface crack between two dissimilar functionally graded piezoelectric layers under electromechanical loading

Abstract

a b s t r a c tThe dynamic propagation of an interface crack between two dissimilar functionally graded piezoelectric material (FGPM) layers under anti-plane shear is analyzed using the integral transform method. The properties of the FGPM layers vary continuously along the thickness. The properties of the FGPM layers vary differently and the two layers are connected weak-discontinuously. A constant velocity Yoffe-type moving crack is considered. Fourier transform is used to reduce the problem to two sets of dual integral equations, which are then expressed to the Fredholm integral equations of the second kind. Numerical values on the dynamic energy release rate (DERR) are presented for the FGPM to show the effects on the electric loading, gradient of material properties, crack moving velocity, and thickness of layers. Followings are helpful to increase of the resistance of the interface crack propagation of FGPM: (a) certain direction and magnitude of the electric loading; (b) increase of the gradient of material properties; (c) increase of the material properties from the interface to the upper and lower free surface; (d) increase of the thickness of FGPM layer. The DERR increases or decreases with increase of the crack moving velocity.

Dynamic performance for piezoelectric bi-materials with an interfacial crack near an eccentric elliptical hole under anti-plane shearing

“…In recent decades, different analytical and numerical methods have been adopted to deal with more complex and difficult problems. Shin and Lee [5] investigated the dynamic propagation of an interface crack between two dissimilar functionally graded piezoelectric material (FGPM) layers under anti-plane shear using the integral transform method. Mishra et al [6] and Zhang et al [7] aimed to study the interaction of multiple cracks contained in piezoelectric materials by employing the extended finite element method.…”

Multiple moving interfacial cracks between two dissimilar piezoelectric layers under electromechanical loading

“…Wang and sun [18] studied the problem of an anti-plane interfacial crack between two dissimilar piezoelectric material layers. Dynamic propagation of an interface Griffith crack between two dissimilar FGPM layers under anti-plane shear was conducted by Shin and Lee [19]. Li et al [20] considered the electroelestic problem of an annular interfacial crack between dissimilar piezoelectric layers under electroelastic loadings.…”

Stress analysis of a functionally graded magneto-electro-elastic strip with multiple moving cracks

“…The effects of material properties, the thickness of the functionally graded orthotropic strip, and the speed of the crack propagating upon the dynamic fracture behavior were studied. Shin and Lee [22] studied propagation of an interface crack between two dissimilar FGPM layers. The dynamic behavior of a moving Griffith crack under anti-plane shear in a piezoelectric layer bounded by two elastic infinite spaces was investigated by Rokne et al [23].…”