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Checkerboard-free topology optimization using non-conforming finite elements

✍ Scribed by Gang-Won Jang; Je Hyun Jeong; Yoon Young Kim; Dongwoo Sheen; Chunjae Park; Myoung-Nyoun Kim

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
309 KB
Volume
57
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The objective of the present study is to show that the numerical instability characterized by checkerboard patterns can be completely controlled when non‐conforming four‐node finite elements are employed. Since the convergence of the non‐conforming finite element is independent of the Lamé parameters, the stiffness of the non‐conforming element exhibits correct limiting behaviour, which is desirable in prohibiting the unwanted formation of checkerboards in topology optimization. We employ the homogenization method to show the checkerboard‐free property of the non‐conforming element in topology optimization problems and verify it with three typical optimization examples. Copyright © 2003 John Wiley & Sons, Ltd.

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