TY - JOUR
T1 - Analysis of Two-Dimensional Thin Structures (from Micro- to Nano-Scales) Using the Singular Boundary Method
AU - Shen , Dejian
AU - Gu , Yan
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 597
EP - 609
PY - 2018
DA - 2018/05
SN - 7
DO - http://doi.org/10.4208/aamm.2013.m454
UR - https://global-sci.org/intro/article_detail/aamm/12065.html
KW - 
AB - <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>