Improved reproducing kernel particle method for piezoelectric materials

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

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10201-010201.doi: 10.1088/1674-1056/27/1/010201

• GENERAL • 下一篇

Improved reproducing kernel particle method for piezoelectric materials

Ji-Chao Ma(马吉超), Gao-Feng Wei(魏高峰), Dan-Dan Liu(刘丹丹)

1 School of Mechanical and Automotive Engineering, Qilu University of Technology, Jinan 250353, China;
2 College of Foreign Languages, Shandong Normal University, Jinan 250014, China

收稿日期:2017-08-02 修回日期:2017-09-15 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Gao-Feng Wei E-mail:wgf@spu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11271234) and the Shandong Provincial Science Foundation, China (Grant No. ZR2017MA028).

Improved reproducing kernel particle method for piezoelectric materials

Ji-Chao Ma(马吉超)¹, Gao-Feng Wei(魏高峰)¹, Dan-Dan Liu(刘丹丹)²

1 School of Mechanical and Automotive Engineering, Qilu University of Technology, Jinan 250353, China;
2 College of Foreign Languages, Shandong Normal University, Jinan 250014, China

Received:2017-08-02 Revised:2017-09-15 Online:2018-01-05 Published:2018-01-05
Contact: Gao-Feng Wei E-mail:wgf@spu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11271234) and the Shandong Provincial Science Foundation, China (Grant No. ZR2017MA028).

摘要/Abstract

摘要： 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.

关键词: meshless methods, piezoelectric materials, reproducing kernel particle method, radial basis function method

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.

Key words: meshless methods, piezoelectric materials, reproducing kernel particle method, radial basis function method

中图分类号: (Partial differential equations)

02.30.Jr

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)

马吉超, 魏高峰, 刘丹丹. Improved reproducing kernel particle method for piezoelectric materials[J]. 中国物理B, 2018, 27(1): 10201-010201.

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[J]. Chin. Phys. B, 2018, 27(1): 10201-010201.

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Improved reproducing kernel particle method for piezoelectric materials

Improved reproducing kernel particle method for piezoelectric materials

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