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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ocal versus global stress constraint strategies in topology optimization: A comparative stud

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Author(s):
da Silva, Gustavo Assis [1] ; Aage, Niels [2] ; Beck, Andre Teofilo [1] ; Sigmund, Ole [2]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Struct Engn, BR-13566590 Sao Carlos, SP - Brazil
[2] Tech Univ Denmark, Dept Mech Engn, Solid Mech, Lyngby - Denmark
Total Affiliations: 2
Document type: Journal article
Source: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING; v. 122, n. 21 JUL 2021.
Web of Science Citations: 2
Abstract

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. (AU)

FAPESP's process: 18/16701-1 - Topology optimization of compliant mechanisms considering manufacturing uncertainties and stress failure criterion
Grantee:Gustavo Assis da Silva
Support Opportunities: Scholarships in Brazil - Post-Doctoral