Print Email Facebook Twitter Topology optimization of differentiable microstructures Title Topology optimization of differentiable microstructures Author Zhai, X. (TU Delft Materials and Manufacturing; University of Science and Technology of China) Wang, Weiming (The University of Manchester) Chen, Falai (University of Science and Technology of China) Wu, J. (TU Delft Materials and Manufacturing) Date 2024 Abstract Recent years have seen a growing interest in topology optimization of functionally graded microstructures, characterized by an array of microstructures with varying volume fractions. However, microstructures optimized at slightly different volume fractions do not necessarily connect well when placed adjacently. Furthermore, optimization is commonly performed on a finite set of volume fractions, limiting the number of microstructure configurations. In this paper, we introduce the concept of differentiable microstructures, which are parameterized microstructures that exhibit continuous variations in both geometry and mechanical properties. To construct such microstructures, we propose a novel formulation for topology optimization. In this approach, a series of 2-dimensional microstructures is represented using a height field, and the objective is to maximize the bulk modulus of the entire series. Through this optimization process, an initial microstructure with a small volume fraction undergoes non-uniform transformations, generating a series of microstructures with progressively increasing volume fractions. Notably, when compared to traditional uniform morphing methods, our proposed optimization approach yields a series of microstructures with bulk moduli that closely approach the theoretical limit. Subject Functionally graded microstructuresInverse homogenizationTopology optimization To reference this document use: http://resolver.tudelft.nl/uuid:6c51424d-93f1-445e-ba94-6640116ec968 DOI https://doi.org/10.1016/j.cma.2023.116530 ISSN 0045-7825 Source Computer Methods in Applied Mechanics and Engineering, 418 (Part A) Part of collection Institutional Repository Document type journal article Rights © 2024 X. Zhai, Weiming Wang, Falai Chen, J. Wu Files PDF 1_s2.0_S0045782523006540_main.pdf 5.18 MB Close viewer /islandora/object/uuid:6c51424d-93f1-445e-ba94-6640116ec968/datastream/OBJ/view