scholarly journals Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading

2006 ◽  
Vol 49 (4) ◽  
pp. 559-569
Author(s):  
Jun LIANG
Keyword(s):  
Shear Loading ◽  
Functionally Graded ◽  
Plane Shear ◽  
Interface Cracks ◽  
Functionally Graded Piezoelectric

The scattering of the harmonic anti-plane shear stress waves by two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes dynamic loading

2006 ◽  
Vol 220 (2) ◽  
pp. 137-148 ◽  
Author(s):  
Z-G Zhou ◽  
B Wang
Keyword(s):  
Shear Stress ◽  
Magnetic Flux ◽  
Electric Displacement ◽  
Stress Waves ◽  
Functionally Graded ◽  
Plane Shear ◽  
Interface Cracks ◽  
Unknown Variable ◽  
Dynamic Stress Field ◽  
Functionally Graded Piezoelectric

In this paper, the dynamic behaviour of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes subjected to the harmonic anti-plane shear stress waves is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with coordinate vertical to the crack. By using the Fourier transform technique, the problem can be solved with the help of a pair of triple integral equations, in which the unknown variable is the jump of the displacements across the crack surfaces. These equations are solved by using the Schmidt method. The relations among the electric field, the magnetic flux field, and the dynamic stress field near the crack tips can be obtained. Numerical examples are provided to show the effect of the functionally graded parameter, the distance between two interface cracks, and the circular frequency of the incident waves upon the stress, the electric displacement, and the magnetic flux intensity factors of cracks.

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