This paper aims to develop an effective method for the dynamic fracture
analysis of permeable interfacial cracks emanating from a circular cavity in two
dissimilar functionally graded piezoelectric materials (FGPMs) under anti-plane
incident SH-wave. The material properties vary exponentially in the same
manner along the direction perpendicular to the interface. Green function
method, coordinate transformation method, conjunction and crack-deviation
techniques are adopted to build mathematical model, so that the crack problem is
reduced to solving a set of the first kind of Fredholm’s integral equations and
the dynamic stress intensity factors (DSIFs) are expressed theoretically. A
comparison is accomplished between the model in this paper and the model
with a Griffith crack in FGPMs to verify the validity of the present method.
Parametric studies reveal the dependence of DSIFs on the geometry of cavity
and cracks, the characteristics of incident wave and the inhomogeneity of
materials.
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