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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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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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container_title	Structural and multidisciplinary optimization
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creator	Setta, Mario Hägg, Linus Wadbro, Eddie
description	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.
doi_str_mv	10.1007/s00158-024-03872-1
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source	Springer Nature
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
title	A boundary strip indicator for material distribution-based topology optimization
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