Improved reproducing kernel particle method for piezoelectric materials

doi:10.1088/1674-1056/27/1/010201

Abstract 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.

Keywords: meshless methods piezoelectric materials reproducing kernel particle method radial basis function method

Received: 02 August 2017
Revised: 15 September 2017
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.60.-x	(Numerical approximation and analysis)
	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11271234) and the Shandong Provincial Science Foundation, China (Grant No. ZR2017MA028).

Corresponding Authors: Gao-Feng Wei
E-mail: wgf@spu.edu.cn

Cite this article:

Ji-Chao Ma(马吉超), Gao-Feng Wei(魏高峰), Dan-Dan Liu(刘丹丹) Improved reproducing kernel particle method for piezoelectric materials 2018 Chin. Phys. B 27 010201

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