Title
Generalized Finite Difference Method For Electroelastic Analysis Of Three-Dimensional Piezoelectric Structures
Abstract
This short communication makes the first attempt to apply the generalized finite difference method (GFDM), a newly-developed meshless collocation method, for the numerical solutions of three-dimensional (3D) piezoelectric problems. In the present method, the entire computational domain is divided into a set of overlapping subdomains in which the local Taylor series expansion and moving-least square approximation are applied to construct the local systems of linear equations. By satisfying the coupled mechanical and electrical governing equations, a sparse and banded stiffness matrix can be established which makes the method very attractive for large-scale engineering simulations. Preliminary numerical experiments are presented to demonstrate the applicability and accuracy of the present method, where the results obtained are compared with the analytical solutions with very good agreement. (C) 2021 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.aml.2021.107084
APPLIED MATHEMATICS LETTERS
Keywords
DocType
Volume
Meshless collocation method, Generalized finite difference method, Three-dimensional piezoelectric problem, Electroelastic analysis
Journal
117
ISSN
Citations 
PageRank 
0893-9659
0
0.34
References 
Authors
4
2
Name
Order
Citations
PageRank
Hao Xia100.34
Yan Gu25710.46