Improved reproducing kernel particle method for piezoelectric materials

In this paper, the normal derivative of the radial basis function (RBF) is introduced into the reproducing kernel particle method (RKPM), and the improved reproducing kernel particle method (IRKPM) is proposed. The method can decrease the errors on the boundary and improve the accuracy and stability of the algorithm. The proposed method is applied to the numerical simulation of piezoelectric materials and the corresponding governing equations are derived. The numerical results show that the IRKPM is more stable and accurate than the RKPM. (paper)