A boundary strip indicator for material distribution-based topology optimization

This article proposes a boundary strip indicator for density-based topology optimization that can be used to estimate the design’s surface area (perimeter in 2D) or identify a coating layer. We investigate the theoretical properties of the proposed boundary strip indicator and propose a differentiab...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2024-08, Vol.67 (8), p.149, Article 149
Main Authors: Setta, Mario, Hägg, Linus, Wadbro, Eddie
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary strip
Composite materials
Computational Mathematics and Numerical Analysis
Conduction heating
Conductive heat transfer
Design optimization
Engineering
Engineering Design
Heat conductivity
Matematik
Mathematics
Methods
Morphological operators
Morphology
Non-linear filters
Non-linear flters
Perimeter
Strip
Theoretical and Applied Mechanics
Topology optimization
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Summary:This article proposes a boundary strip indicator for density-based topology optimization that can be used to estimate the design’s surface area (perimeter in 2D) or identify a coating layer. We investigate the theoretical properties of the proposed boundary strip indicator and propose a differentiable approximation that preserves key properties, such as non-negativity. Finally, we use the boundary strip indicator in a heat conduction design optimization problem for a coated structure. The resulting designs show a strong dependence on the properties of the coating.
ISSN:1615-147X
1615-1488
1615-1488
DOI:10.1007/s00158-024-03872-1