Open Access
ARTICLE
A Cell-Based Linear Smoothed Finite Element Method for Polygonal Topology Optimization
Changkye Lee1, Sundararajan Natarajan2, Seong-Hoon Kee3, Jurng-Jae Yee3,*
1
University Core Research Center for Disaster-Free & Safe Ocean City Construction, Dong-A University, Busan, 49315, Korea
2
Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, 600036, India
3
Department of Architectural Engineering, Dong-A University, Busan, 49315, Korea
* Corresponding Author: Jurng-Jae Yee. Email:
(This article belongs to this Special Issue: Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Computer Modeling in Engineering & Sciences 2022, 131(3), 1615-1634. https://doi.org/10.32604/cmes.2022.020377
Received 22 November 2021; Accepted 13 December 2021; Issue published 19 April 2022
Abstract
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.
Keywords
Cite This Article
Lee, C., Natarajan, S., Kee, S., Yee, J. (2022). A Cell-Based Linear Smoothed Finite Element Method for Polygonal Topology Optimization.
CMES-Computer Modeling in Engineering & Sciences, 131(3), 1615–1634. https://doi.org/10.32604/cmes.2022.020377