Stress State of an Orthotropic Piezoelectric Material with an Elliptic Crack

The electric and stress state of an orthotropic electroelastic medium with an elliptic crack acted upon by mechanical and electric loads is analyzed. To solve the problem, the triple Fourier transform and Fourier-image of the Green function for an infinite orthotropic piezoelectric medium are used. The approach is tested by solving the problem for a crack located in the isotropy plane of a transversely isotropic piezoelectric material, for which the exact solution exists. The comparison of the results of calculations confirms the high efficiency of the approach. The distribution of stress intensity factors along the front of the crack in an orthotropic electroelastic material under uniform loading is studied numerically