A level set solution to the stress-based structural shape and topology optimization

Qi Xia; Tielin Shi; Shiyuan Liu; Michael Yu Wang

doi:10.1016/j.compstruc.2011.10.009

A level set solution to the stress-based structural shape and topology optimization

Qi Xia, Tielin Shi, Shiyuan Liu, Michael Yu Wang

Research output: Contribution to journal › Article › Research › peer-review

196 Citations (Scopus)

Abstract

We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume. In order to solve this optimization problem, the level set method is employed. The finite element analysis is accomplished by modifying a fixed background mesh, and the artificial weak material that is conventionally used in the level set method to mimic void is avoided in the present work.

Original language	English
Pages (from-to)	55-64
Number of pages	10
Journal	Computers and Structures
Volume	90-91
Issue number	1
DOIs	https://doi.org/10.1016/j.compstruc.2011.10.009
Publication status	Published - Jan 2012
Externally published	Yes

Keywords

Level set method
Shape and topology optimization
Stress

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10.1016/j.compstruc.2011.10.009

Cite this

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title = "A level set solution to the stress-based structural shape and topology optimization",

abstract = "We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume. In order to solve this optimization problem, the level set method is employed. The finite element analysis is accomplished by modifying a fixed background mesh, and the artificial weak material that is conventionally used in the level set method to mimic void is avoided in the present work.",

keywords = "Level set method, Shape and topology optimization, Stress",

author = "Qi Xia and Tielin Shi and Shiyuan Liu and Wang, {Michael Yu}",

note = "Funding Information: This research work is partly supported by the Fundamental Research Funds for the Central Universities, HUST , (Grant No. Q2009009 , 2011QN033 ), the Natural Science Foundation of Hubei province (Grant No. 2009CDB321 ), and the National Natural Science Foundation of China (Grant No. 51075161 ), which the authors gratefully acknowledge. The insightful comments of the reviewers{\textquoteright} are cordially appreciated. ",

year = "2012",

month = jan,

doi = "10.1016/j.compstruc.2011.10.009",

language = "English",

volume = "90-91",

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T1 - A level set solution to the stress-based structural shape and topology optimization

AU - Xia, Qi

AU - Shi, Tielin

AU - Liu, Shiyuan

AU - Wang, Michael Yu

N1 - Funding Information: This research work is partly supported by the Fundamental Research Funds for the Central Universities, HUST , (Grant No. Q2009009 , 2011QN033 ), the Natural Science Foundation of Hubei province (Grant No. 2009CDB321 ), and the National Natural Science Foundation of China (Grant No. 51075161 ), which the authors gratefully acknowledge. The insightful comments of the reviewers’ are cordially appreciated.

PY - 2012/1

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N2 - We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume. In order to solve this optimization problem, the level set method is employed. The finite element analysis is accomplished by modifying a fixed background mesh, and the artificial weak material that is conventionally used in the level set method to mimic void is avoided in the present work.

AB - We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume. In order to solve this optimization problem, the level set method is employed. The finite element analysis is accomplished by modifying a fixed background mesh, and the artificial weak material that is conventionally used in the level set method to mimic void is avoided in the present work.

KW - Level set method

KW - Shape and topology optimization

KW - Stress

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SN - 0045-7949

VL - 90-91

SP - 55

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JO - Computers and Structures

JF - Computers and Structures

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ER -

A level set solution to the stress-based structural shape and topology optimization

Abstract

Keywords

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