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Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions

Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions
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Year:    2023

Author:    Yan Gu, Ji Lin, Chia-Ming Fan

Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 4 : pp. 880–900

Abstract

Accurate and efficient analysis of the coupled electroelastic behavior of piezoelectric structures is a challenging task in the community of computational mechanics. During the past few decades, the method of fundamental solutions (MFS) has emerged as a popular and well-established meshless boundary collocation method for the numerical solution of many engineering applications. The classical MFS formulation, however, leads to dense and non-symmetric coefficient matrices which will be computationally expensive for large-scale engineering simulations. In this paper, a localized version of the MFS (LMFS) is devised for electroelastic analysis of two-dimensional (2D) piezoelectric structures. In the LMFS, the entire computational domain is divided into a set of overlapping small sub-domains where the MFS-based approximation and the moving least square (MLS) technique are employed. Different to the classical MFS, the LMFS will produce banded and sparse coefficient matrices which makes the method very attractive for large-scale simulations. Preliminary numerical experiments illustrate that the present LMFM is very promising for coupled electroelastic analysis of piezoelectric materials.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2021-0223

Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 4 : pp. 880–900

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Localized method of fundamental solutions meshless methods piezoelectric structures coupled electroelastic analysis fundamental solutions.

Author Details

Yan Gu

Ji Lin

Chia-Ming Fan

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