Abstract
A new level set method is developed for multi-material structural topology optimization. The method features in using the discontinuous Galerkin finite-element method for discretization of the level set transport equation and the distributed shape gradient. Moreover, the topological derivative is incorporated into the present algorithm as a possible way to escape from local minima through creating holes during optimization. Numerical examples are provided to verify effectiveness of the numerical algorithm.
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Funding
This work was supported in part by the Key Technologies Research and Development Program (Grant No. 2022YFA1004402), the National Natural Science Foundation of China (Grant No. 12071149), and the Science and Technology Commission of Shanghai Municipality (Nos. 22ZR1421900, 21JC1402500, and 22DZ2229014).
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Tan, Y., Zhu, S. A discontinuous Galerkin level set method using distributed shape gradient and topological derivatives for multi-material structural topology optimization. Struct Multidisc Optim 66, 170 (2023). https://doi.org/10.1007/s00158-023-03617-6
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DOI: https://doi.org/10.1007/s00158-023-03617-6