TY - JOUR
T1 - Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions
AU - Gu , Yan
AU - Lin , Ji
AU - Fan , Chia-Ming
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 880
EP - 900
PY - 2023
DA - 2023/04
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2021-0223
UR - https://global-sci.org/intro/article_detail/aamm/21591.html
KW - Localized method of fundamental solutions, meshless methods, piezoelectric structures, coupled electroelastic analysis, fundamental solutions.
AB - <p style="text-align: justify;">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.</p>