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

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

Research output: Contribution to journalJournal articleResearchpeer-review

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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

Cite this

Lian, Haojie ; Christiansen, Asger Nyman ; Tortorelli, Daniel A. ; Sigmund, Ole ; Aage, Niels. / Combined shape and topology optimization for minimization of maximal von Mises stress. In: Structural and Multidisciplinary Optimization. 2017 ; Vol. 55, No. 5. pp. 1541-1557.
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Combined shape and topology optimization for minimization of maximal von Mises stress. / Lian, Haojie; Christiansen, Asger Nyman; Tortorelli, Daniel A.; Sigmund, Ole; Aage, Niels.

In: Structural and Multidisciplinary Optimization, Vol. 55, No. 5, 2017, p. 1541-1557.

Research output: Contribution to journalJournal articleResearchpeer-review

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AU - Christiansen, Asger Nyman

AU - Tortorelli, Daniel A.

AU - Sigmund, Ole

AU - Aage, Niels

PY - 2017

Y1 - 2017

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AB - 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.

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KW - Deformable simplicial complex method

KW - Explicit surface representation

KW - Stress minimization

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DO - 10.1007/s00158-017-1656-x

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