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Towards Manufacturing-Friendly Shapes in Discrete Topology Optimization

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arxiv 2503.10133 v2 pith:XCLMMRGV submitted 2025-03-13 cs.IT cs.NAmath.ITmath.NA

classification cs.ITcs.NAmath.ITmath.NA
keywords designdiscretematerialoptimizationdistributionregularityshapetheory
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This paper deals with shape irregularity issues in discrete topology optimization algorithms whereby the design is created using the automated distribution of material in the design region. Graph theory is employed to derive appropriate regularity measures for any discrete optimization algorithm. Shape regularity is quantified by scalar figures ready to evaluate design choices in the form of Pareto-frontiers. Developed metrics deal with information concerning material usage, problematic distribution, and features that complicate manufacturing. The theory is verified by several examples demonstrating the treatment of isolated islands of materials, point connections between material segments, or homogeneity.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Antenna Q-Factor Topology Optimization with Auxiliary Edge Resistivities

    physics.comp-ph 2025-05 conditional novelty 6.0 of 10

    A bi-level optimizer using continuous RWG edge resistivities, automatic differentiation, and Bayesian hyperparameter search minimizes antenna Q-factor for small antennas faster than prior methods and near the lower bound.

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