Combined shape and topology optimization for minimization of maximal von Mises stress

Haojie Lian, Asger Nyman Christiansen, Daniel A. Tortorelli, Ole Sigmund, Niels Aage

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Abstract

This work shows that a combined shape and topology optimization method can produce optimal 2D designs with minimal stress subject to a volume constraint. The method represents the surface explicitly and discretizes the domain into a simplicial complex which adapts both structural shape and topology. By performing repeated topology and shape optimizations and adaptive mesh updates, we can minimize the maximum von Mises stress using the p-norm stress measure with p-values as high as 30, provided that the stress is calculated with sufficient accuracy.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume55
Issue number5
Pages (from-to)1541-1557
Number of pages17
ISSN1615-147x
DOIs
Publication statusPublished - 2017

Keywords

  • Combined shape and topology optimization
  • Deformable simplicial complex method
  • Explicit surface representation
  • Stress minimization

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