Abstract: Cracks in the piezoelectric material restricts wider application of the piezoelectric material and further improvement in the performance of related devices. To improve the accuracy and efficiency of solving the fracture parameters of piezoelectric materials， the complex potential function method and Cell-based smoothed finite element method(FEM) are introduced to fracture mechanics of piezoelectric materials， and Cell-based smoothed FEM for the piezoelectric materials with cracks was established. Normalized intensity factors of the center cracked piezoelectric with different materials， crack length， meshes and smoothing subcells were discussed and compared with FEM. Numerical example results showed that the Cell-based smoothed FEM， improving the FEM stiffness with high precision and high efficiency， is efficient numerical methods.

Key words: Cell-based smoothed finite element method, piezoelectric materials, crack, normalized intensity factor