Journal of Mechanical Engineering >
Analysis of Interpolating Element-free Galerkin Scaled Boundary Method for Piezoelectric Cracks
Online published: 2017-03-20
In order to obtain a more effective and accurate method to study the fracture behavior of the piezoelectric materials,an interpolating element-free Galerkin scaled boundary method (IEFG-SBM) is proposed for two-dimensional fracture analysis of piezoelectric material based on the improved interpolating moving least-squares (IIMLS) method. This method allows the stress and electric displacement intensity factors to be calculated directly from their definitions. Only the boundary of the computational domain requires to be discretized by the element-free Galerkin (EFG) method and thus the spatial dimension is reduced by one. However,in contrast to the boundary element method,no fundamental solution is required. The solution in the radial direction is analytical,therefore the simulation precision of this method is relatively high. In the IIMLS method,the shape functions satisfy Kronecker delta property and the weight function involved is nonsingular. Moreover,the number of unknown coefficients in the trial function of the IIMLS method is less than that of the conventional moving least-squares (MLS) approximation. At last,numerical examples are presented to demonstrate the effectiveness and correctness of the proposed method for fracture analysis of piezoelectric material.
CHEN Shenshen , WANG Juan . Analysis of Interpolating Element-free Galerkin Scaled Boundary Method for Piezoelectric Cracks[J]. Journal of Mechanical Engineering, 2017 , 53(6) : 53 -59 . DOI: 10.3901/JME.2017.06.053
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