Extented crouch fundamental solutions of parabolic elements for 2D piezoelectric media

In order to simulate the singularity of the solution near crack tips, the parabolic element at the crack tip is used in displacement discontinuity method. The extended Crouch fundamental solutions of parabolic elements for 2D piezoelectric media are derived based on the extended displacement discontinuity fundamental solution. Extended displacement discontinuity method (EDDM) using parabolic elements at crack tips under impermeable boundary condition is implemented. Numerical results show that the precision and efficiency of the EDDM can be greatly improved by using the parabolic elements.