CHEN Shenshen, WANG Juan. Application of a Coupled Interpolating Element-Free Galerkin Scaled Boundary Method and Finite Element Method in Fracture Analysis of Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1258-1267. doi: 10.21656/1000-0887.390129
Citation: CHEN Shenshen, WANG Juan. Application of a Coupled Interpolating Element-Free Galerkin Scaled Boundary Method and Finite Element Method in Fracture Analysis of Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1258-1267. doi: 10.21656/1000-0887.390129

Application of a Coupled Interpolating Element-Free Galerkin Scaled Boundary Method and Finite Element Method in Fracture Analysis of Piezoelectric Materials

doi: 10.21656/1000-0887.390129
Funds:  The National Natural Science Foundation of China(11462006; 21466012)
  • Received Date: 2018-04-23
  • Rev Recd Date: 2018-05-21
  • Publish Date: 2018-11-01
  • The interpolating element-free Galerkin scaled boundary method (IEFG-SBM) is a semi-analytical method which only requires discretizing the boundary with the interpolating element-free Galerkin (EFG) method without fundamental solution. This method is very powerful to deal with fracture problems of piezoelectric materials. In order to further improve the applicability of the IEFG-SBM, a coupled IEFG-SBM and finite element method (FEM) for fracture analysis of piezoelectric materials was developed. The IEFG-SBM was utilized to model the domain close to the crack tip and the FEM was employed in the remaining domain. Based on continuity conditions at the interface between the IEFG-SBM sub-domain and the FEM sub-domain, the coupled formula of the proposed method can be conveniently derived. Finally, 2 numerical examples were presented to demonstrate the validity of the proposed method.
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