THERMOELECTROELASTIC SOLUTION FOR EDGE CRACKS ORIGINATING FROM AN ELLIPTICAL HOLE IN A PIEZOELECTRIC SOLID

Thermoelectroelastic solution is derived for the generalized two-dimensional problem of edge cracks originating from an elliptical hole in a piezoelectric solid based on complex variable method. First, the heat complex function is solved, and then the expressions for the complex potentials and field intensity factors are presented under the electrically impermeable boundary condition. Numerical analysis is also made to discuss the influences of crack length and heat flux on the electroelastic fields and fields intensity factors. It is found that the heat flux has great effect on the stress intensity factors for the mode II cracks, but its influence on the stress intensity factors for the mode I cracks and the intensity factors of electric displacements is not significant.