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 journalArticleResearchpeer-review

144 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 languageEnglish
Pages (from-to)55-64
Number of pages10
JournalComputers and Structures
Volume90-91
Issue number1
DOIs
Publication statusPublished - Jan 2012
Externally publishedYes

Keywords

  • Level set method
  • Shape and topology optimization
  • Stress

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