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

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

doi:10.1007/s00158-017-1656-x

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

Journal Article · Fri Jan 27 00:00:00 EST 2017 · Structural and Multidisciplinary Optimization

DOI:https://doi.org/10.1007/s00158-017-1656-x· OSTI ID:1399735

Lian, Haojie ^[1]; Christiansen, Asger N. ^[1]; Tortorelli, Daniel A. ^[2]; Sigmund, Ole ^[1];

^[1]

Technical Univ. of Denmark, Lyngby (Denmark)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Here, 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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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1399735

Report Number(s):: LLNL-JRNL-708997; TRN: US1702973

Journal Information:: Structural and Multidisciplinary Optimization, Vol. 55, Issue 5; ISSN 1615-147X

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 65 works

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On fully stressed design and p-norm measures in structural optimization Zhou, Mingdong; Sigmund, Ole Structural and Multidisciplinary Optimization, Vol. 56, Issue 3 https://doi.org/10.1007/s00158-017-1731-3	journal	June 2017
Reliability-based topology optimization of continuum structures subject to local stress constraints da Silva, Gustavo Assis; Beck, André Teófilo Structural and Multidisciplinary Optimization, Vol. 57, Issue 6 https://doi.org/10.1007/s00158-017-1865-3	journal	November 2017
Adaptive mesh refinement in stress-constrained topology optimization Salazar de Troya, Miguel A.; Tortorelli, Daniel A. Structural and Multidisciplinary Optimization, Vol. 58, Issue 6 https://doi.org/10.1007/s00158-018-2084-2	journal	October 2018
Combination of topology optimization and Lie derivative-based shape optimization for electro-mechanical design Kuci, Erin; Henrotte, François; Duysinx, Pierre Structural and Multidisciplinary Optimization, Vol. 59, Issue 5 https://doi.org/10.1007/s00158-018-2157-2	journal	November 2018
Multi-objective optimization of an engine mount design by means of memetic genetic programming and a local exploration approach Alvarado-Iniesta, Alejandro; Guillen-Anaya, Luis Gonzalo; Rodríguez-Picón, Luis Alberto Journal of Intelligent Manufacturing, Vol. 31, Issue 1 https://doi.org/10.1007/s10845-018-1432-9	journal	June 2018
Deep elastic strain engineering of bandgap through machine learning Shi, Zhe; Tsymbalov, Evgenii; Dao, Ming Proceedings of the National Academy of Sciences, Vol. 116, Issue 10 https://doi.org/10.1073/pnas.1818555116	journal	February 2019
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Engine Pylon Topology Optimization Framework Based on Performance and Stress Criteria Coniglio, Simone; Gogu, Christian; Amargier, Remi AIAA Journal, Vol. 57, Issue 12 https://doi.org/10.2514/1.j058117	journal	December 2019

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

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