TY  - EJOU
AU  - Lee, Changkye 
AU  - Natarajan, Sundararajan 
AU  - Kee, Seong-Hoon 
AU  - Yee, Jurng-Jae 

TI  - A Cell-Based Linear Smoothed Finite Element Method for Polygonal Topology Optimization
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2022
VL  - 131
IS  - 3
SN  - 1526-1506

AB  - The aim of this work is to employ a modified cell-based smoothed finite element method (S-FEM) for topology
optimization with the domain discretized with arbitrary polygons. In the present work, the linear polynomial basis
function is used as the weight function instead of the constant weight function used in the standard S-FEM. This
improves the accuracy and yields an optimal convergence rate. The gradients are smoothed over each smoothing
domain, then used to compute the stiffness matrix. Within the proposed scheme, an optimum topology procedure
is conducted over the smoothing domains. Structural materials are distributed over each smoothing domain and
the filtering scheme relies on the smoothing domain. Numerical tests are carried out to pursue the performance of
the proposed optimization by comparing convergence, efficiency and accuracy.
KW  - Smoothed finite element method; linear smoothing function; topology optimization; solid isotropic material with penalization (SIMP); polygonal finite element cell

DO  - 10.32604/cmes.2022.020377