Extended Finite-Element Method for Electric Field Analysis of Insulating Plate With Crack

Author

Guolin Wang ; Shuhong Wang ; Nana Duan ; Youpeng Huangfu ; Haijun Zhang ; Weijie Xu ; Jie Qiu

Author_Institution

Sch. of Electr. Eng., Xi´an Jiaotong Univ., Xi´an, China

Volume

51

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

1

Lastpage

4

Abstract

In this paper, the extended finite-element method (XFEM) is employed to analyze electric field of insulating plate with crack. To begin with, both the approximation of XFEM and features of the enrichment functions for crack tip are presented. Then, XFEM is used to solve electric potential of an insulating plate with a middle crack, which proves the method can save computational time by comparison with classic finite-element method (CFEM) under the same computational accuracy. In addition, XFEM is also applied to calculate electrical field at crack tip of an insulating plate with an edge crack, which reveals that the relative error between XFEM and CFEM is small when the meshing size of CFEM around crack tip is smaller than that of XFEM. Therefore, electric field analysis of discontinuous and singular solutions can demonstrate the superior performance of XFEM.

Keywords

cracks; electric fields; electric potential; finite element analysis; insulating materials; plates (structures); CFEM; XFEM; classic finite-element method; crack; discontinuous solutions; electric field analysis; electric potential; extended finite-element method; insulating plate; meshing size; relative error; singular solutions; Approximation methods; Computational modeling; Electric fields; Electric potential; Finite element analysis; Geometry; Permittivity; Crack; electric field; extended finite-element method (XFEM); insulating materials;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2360921

Filename

7093623