Two-dimensional fracture analysis of piezoelectric material based on the scaled boundary node method

doi:10.1088/1674-1056/25/4/040203

中国物理B ›› 2016, Vol. 25 ›› Issue (4): 40203-040203.doi: 10.1088/1674-1056/25/4/040203

Two-dimensional fracture analysis of piezoelectric material based on the scaled boundary node method

Shen-Shen Chen(陈莘莘), Juan Wang(王娟), Qing-Hua Li(李庆华)

School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China

收稿日期:2015-09-27 修回日期:2015-12-07 出版日期:2016-04-05 发布日期:2016-04-05
通讯作者: Shen-Shen Chen E-mail:chenshenshen@tsinghua.org.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11462006 and 21466012), the Foundation of Jiangxi Provincial Educational Committee, China (Grant No. KJLD14041), and the Foundation of East China Jiaotong University, China (Grant No. 09130020).

Two-dimensional fracture analysis of piezoelectric material based on the scaled boundary node method

Shen-Shen Chen(陈莘莘), Juan Wang(王娟), Qing-Hua Li(李庆华)

School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China

Received:2015-09-27 Revised:2015-12-07 Online:2016-04-05 Published:2016-04-05
Contact: Shen-Shen Chen E-mail:chenshenshen@tsinghua.org.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11462006 and 21466012), the Foundation of Jiangxi Provincial Educational Committee, China (Grant No. KJLD14041), and the Foundation of East China Jiaotong University, China (Grant No. 09130020).

摘要/Abstract

摘要：

A scaled boundary node method (SBNM) is developed for two-dimensional fracture analysis of piezoelectric material, which allows the stress and electric displacement intensity factors to be calculated directly and accurately. As a boundary-type meshless method, the SBNM employs the moving Kriging (MK) interpolation technique to an approximate unknown field in the circumferential direction and therefore only a set of scattered nodes are required to discretize the boundary. As the shape functions satisfy Kronecker delta property, no special techniques are required to impose the essential boundary conditions. In the radial direction, the SBNM seeks analytical solutions by making use of analytical techniques available to solve ordinary differential equations. Numerical examples are investigated and satisfactory solutions are obtained, which validates the accuracy and simplicity of the proposed approach.

关键词: fracture mechanics, meshless method, semi-analytical, piezoelectric materials

Abstract:

Key words: fracture mechanics, meshless method, semi-analytical, piezoelectric materials

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 46.25.-y (Static elasticity)

陈莘莘, 王娟, 李庆华. Two-dimensional fracture analysis of piezoelectric material based on the scaled boundary node method[J]. 中国物理B, 2016, 25(4): 40203-040203.

Shen-Shen Chen(陈莘莘), Juan Wang(王娟), Qing-Hua Li(李庆华). Two-dimensional fracture analysis of piezoelectric material based on the scaled boundary node method[J]. Chin. Phys. B, 2016, 25(4): 40203-040203.

参考文献 29

[1]	Sheng N, Sze K Y and Cheung Y K 2006 Int. J. Numer. Method Eng. 65 2113
[2]	Pak Y E 1992 Int. J. Fract. 54 79
[3]	Gao C F and Fan W Y 1999 Int. J. Solids Struct. 36 2527
[4]	Kumar S and Singh R 1996 Acta Mater. 44 173
[5]	Gruebner O, Kamlah M and Munz D 2003 Eng. Frac. Mech. 70 1399
[6]	Pan E 1999 Eng. Anal. Bound. Elem. 23 67
[7]	Rajapakse R K N D and Xu X L 2001 Eng. Anal. Bound. Elem. 25 771
[8]	Garcia-Sanchez F, Saez A and Dominguez J 2005 Comput. Struct. 83 804
[9]	Sheng N and Sze K Y 2006 Comput. Mech. 37 381
[10]	Bui T Q and Zhang C Z 2012 Comput. Mater. Sci. 62 243
[11]	Liu P, Yu T T, Bui T Q and Zhang C Z 2013 Comput. Mater. Sci. 69 542
[12]	Li C, Man H, Song C M and Gao W 2013 Eng. Fract. Mech. 97 52
[13]	Li C, Man H, Song C M and Gao W 2013 Compos. Struct. 101 191
[14]	Song C and Wolf J 1997 Comput. Methods Appl. Mech. Eng. 147 329
[15]	Cheng Y M, Peng M J and Li J H 2005 Acta Mech. Sin. 37 719 (in Chinese)
[16]	Mukherjee Y X and Mukherjee S 1997 Int. J. Numer. Method Eng. 40 797
[17]	Kothnur V S, Mukherjee S and Mukherjee Y X 1999 Int. J. Solids Struc. 36 1129
[18]	Zhang J M, Qin X Y, Han X and Li G Y 2009 Int. J. Numer. Method Eng. 80 320
[19]	Zhang J M, Tanaka M and Matsumoto T 2004 Int. J. Numer. Method Eng. 59 1147
[20]	Shrivastava V and Aluru N R 2004 Int. J. Numer. Method Eng. 59 2019
[21]	Peng M J and Cheng Y M 2009 Eng. Anal. Bound. Elem. 33 77
[22]	Cheng Y M and Peng M J 2005 Sci. China-Ser. G Phys., Mech. Astron. 48 641
[23]	Li X L 2011 Int. J. Numer. Method Eng. 88 442
[24]	Chen S S, Li Q H and Liu Y H 2012 Chin. Phys. B 21 110207
[25]	Gu L 2003 Int. J. Numer. Method Eng. 56 1
[26]	Zheng B J and Dai B D 2011 Appl. Math. Comput. 218 563
[27]	Song C 2004 Comput. Methods Appl. Mech. Eng. 193 2325
[28]	Deeks A J and Wolf J P 2002 Comput. Mech. 28 489
[29]	Wang B L and Mai Y W 2002 Int. J. Solids Struc. 39 4501

Two-dimensional fracture analysis of piezoelectric material based on the scaled boundary node method

Two-dimensional fracture analysis of piezoelectric material based on the scaled boundary node method

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