Abstract
AbstractFracture analysis of a rectangular permeable crack and two 3D rectangular permeable cracks in the orthotropic piezoelectric media (OPM) is investigated by using the generalized Almansi's theorem and the Schmidt method. Utilizing the 2D Fourier transform, the problems reduce to the solution of three pairs of dual integral equations, which the unknown variables are the jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces are directly expanded as a series of Jacobi polynomials. Finally, the effects of the geometric shape of the rectangular crack and the distance between two rectangular cracks on the stress intensity factors (SIFs) and electric displacement intensity factors (EDIFs) in the OPM are analyzed.
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