Treffer: A closed loop methodology for two-dimensional multi-material topology optimization in Grasshopper using the generalized SIMP method.

Title:
A closed loop methodology for two-dimensional multi-material topology optimization in Grasshopper using the generalized SIMP method.
Authors:
Damtsas, Efstathios1 (AUTHOR) efstathios.damtsas@th-luebeck.de, Banh, Thanh T.2 (AUTHOR), Lee, Dongkyu2 (AUTHOR), Herrmann, Michael1 (AUTHOR)
Source:
Architectural Science Review. Dec2025, Vol. 68 Issue 6, p519-533. 15p.
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Database:
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Advancements in manufacturing technologies have elevated the significance of Topology Optimisation (TO) methodologies. Among these, multi-material topology optimization (MMTO) has prevailed, with recent studies applying it in architectural design. A fundamental limitation however is that MMTO is mostly available through complex algorithms or software primarily designed for engineers rather than Architects. To address this, the current study introduces an MMTO methodology tailored for architects who have a basic understanding of TO but lack engineering expertise. This is achieved through the new MMTO plugin for Grasshopper 'Stag', whose underlying Matlab algorithm, uses a generalized Solid Isotropic Material with Penalisation (SIMP) method adapted to link material allocations with topological design variables. The current study introduces the plugin's methodology and its underlying algorithm. Stag's performance is qualitatively evaluated against established SIMP-based benchmark examples from the literature, commercial software and other TO plugins for Grasshopper. Stag is available to download on Food4Rhino (). [ABSTRACT FROM AUTHOR]