@Article{AAMM-7-597,
author = {Shen , Dejian and Gu , Yan},
title = {Analysis of Two-Dimensional Thin Structures (from Micro- to Nano-Scales) Using the Singular Boundary Method},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {7},
number = {5},
pages = {597--609},
abstract = {<p style="text-align: justify;">This study investigates the applicability of the singular boundary method
(SBM), a recent developed meshless boundary collocation method, for the analysis
of two-dimensional (2D) thin structural problems. The troublesome nearly-singular
kernels, which are crucial in the applications of SBM to thin shapes, are dealt with
efficiently by using a non-linear transformation technique. Promising SBM results
with only a small number of boundary nodes are obtained for thin structures with
the thickness-to-length ratio is as small as 1E-9, which is sufficient for modeling most
thin layered coating systems as used in smart materials and micro-electro-mechanical
systems. The advantages, disadvantages and potential applications of the proposed
method, as compared with the finite element (FEM) and boundary element methods
(BEM), are also discussed.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m454},
url = {http://global-sci.org/intro/article_detail/aamm/12065.html}
}