Discrete Material and Thickness Optimization of laminated composite structures including failure criteria

This work extends the Discrete Material and Thickness Optimization approach to structural optimization problems where strength considerations in the form of failure criteria are taken into account for laminated composite structures. It takes offset in the density approaches applied for stress constr...

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Bibliographic Details
Published inStructural and multidisciplinary optimization Vol. 57; no. 6; pp. 2357 - 2375
Main Author Lund, Erik
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018
Springer Nature B.V
Subjects
Composite structures
Computational Mathematics and Numerical Analysis
Constraints
Criteria
Engineering
Engineering Design
Failure
Formulations
Nonlinear programming
Research Paper
Theoretical and Applied Mechanics
Thickness
Topology optimization
Laminated composites
Failure criteria
Discrete material and thickness optimization
Discrete material optimization
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Summary:This work extends the Discrete Material and Thickness Optimization approach to structural optimization problems where strength considerations in the form of failure criteria are taken into account for laminated composite structures. It takes offset in the density approaches applied for stress constrained topology optimization of single-material problems and develops formulations for multi-material topology optimization problems applied for laminated composite structures. The method can be applied for both stress- and strain-based failure criteria. The large number of local constraints is reduced by the use of aggregate functions, and the developed approach is demonstrated for optimization problems involving both constant and varying thickness laminated composites.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-017-1866-2