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

作　　者：陈莘莘 王娟 李庆华 

机构地区：[1]School of Civil Engineering and Architecture, East China Jiaotong University

出　　处：《Chinese Physics B》2016年第4期22-29,共8页中国物理B（英文版）

基　　金：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);the Foundation of East China Jiaotong University,China(Grant No.09130020)

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.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 

分 类 号：O346.1[理学—固体力学] TH112.1[理学—力学]