An interface crack between two dissimilar functionally graded
piezoelectric/piezomagnetic material half infinite planes subjected to the
harmonic anti-plane shear stress waves
Affiliations: [a] Center for Composite Materials and Structures, Harbin
Institute of Technology, P.O. Box 3010, No. 2, Yikuang Street, Harbin, 150001, P.R. China | [b] School of Physics and Engineering, Sun Yat-Sen
University, Guangzhou 510275, P.R. China
Abstract: In this paper, the dynamic behavior of an interface crack 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 dual integral equations in which the unknown variable is the jump of
displacements across the crack surfaces. These equations are solved by using
the Schmidt method. The relations among the electric filed, 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 and the circular frequency of the incident waves upon the stress, the
electric displacement and the magnetic flux intensity factors of the crack.
