Local versus global stress constraint strategies in topology optimization: A comparative study

Stress‐constrained topology optimization requires techniques for handling thousands to millions of stress constraints. This work presents a comprehensive numerical study comparing local and global stress constraint strategies in topology optimization. Four local and four global solution strategies a...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 122; no. 21; pp. 6003 - 6036
Main Authors: da Silva, Gustavo Assis, Aage, Niels, Beck, André Teófilo, Sigmund, Ole
Format: Journal Article
Language:English
Published: Hoboken, USA John Wiley & Sons, Inc 15.11.2021
Wiley Subscription Services, Inc
Subjects:
augmented Lagrangian
Business competition
Comparative studies
Constraints
global stress constraint
local stress constraints
Optimization
Parameter identification
Strategy
stress aggregation function
Topology optimization
ISSN:0029-5981, 1097-0207, 1097-0207
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Summary:Stress‐constrained topology optimization requires techniques for handling thousands to millions of stress constraints. This work presents a comprehensive numerical study comparing local and global stress constraint strategies in topology optimization. Four local and four global solution strategies are presented and investigated. The local strategies are based on either the augmented Lagrangian or the pure exterior penalty method, whereas the global strategies are based on the P‐mean aggregation function. Extensive parametric studies are carried out on the L‐shaped design problem to identify the most promising parameters for each solution strategy. It is found that (1) the local strategies are less sensitive to the continuation procedure employed in standard density‐based topology optimization, allowing achievement of better quality results using less iterations when compared with the global strategies; (2) the global strategies become competitive when P values larger than 100 are employed, but for this to be possible a very slow continuation procedure should be used; (3) the local strategies based on the augmented Lagrangian method provide the best compromise between computational cost and performance, being able to achieve optimized topologies at the level of a pure P‐continuation global strategy with P=300, but using less iterations.
Bibliography:Funding information
Conselho Nacional de Desenvolvimento Científico e Tecnológico, 309107/2020‐2; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Finance Code 001; Fundação de Amparo à Pesquisa do Estado de São Paulo, 2018/16701‐1; Villum Fonden, Villum Investigator Project InnoTop
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ISSN:0029-5981
1097-0207
1097-0207
DOI:10.1002/nme.6781