Calculation of Stress Intensity Factors for an Arbitrary Oriented Penny-shaped Crack Under Inner Pressure in an Orthotropic Electroelastic Material

The electroelasticity problem for an arbitrarily oriented disc-like crack under internal pressure in an orthotropic electroelastic material was considered. Generalizing of the Willis approach for an elastic material, using the Fourier transform of the Green’s function for an infinite anisotropic electroelastic space, the problem of electroelasticity is reduced to finding unknowns of the jumps of displacements and electric potential through the surface of a circular crack. Quadrature Gauss formulas were used to calculate one-dimensional integrals. Testing the approach in the particular case of the problem for which an exact solution is known confirms the effctiveness of the used approach. The distribution of stress intensity factors (SIF) along the boundary of a disc-shaped crack (under internal pressure) in a piezoelectric orthotropic material under various orientations of a crack was studied. A significant effect of the crack orientation on the SIF distributions was established.