Design of multiscale composites using robust topology optimization of level sets
- Publication Type:
- Conference Proceeding
- Citation:
- Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019, 2020, pp. 2060-2063
- Issue Date:
- 2020-01-01
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Most topology optimization methods are focused on structures with solid materials. Inspired by natural porous materials, topology optimization can be explored to concurrently optimize micro material distributions and the macro composite structure to achieve the desired performance. Under random and interval hybrid uncertainties, a robust topology optimization method based on level sets is then developed for the concurrent design of multiscale cellular composites. Both the topology of the representative microstructure and the topology of the macro composite structure are optimized. The robust objective function is defined as a weighted sum of the mean and standard variance of the objective function, e.g. structural compliance, under the worst case. The hybrid univariate dimension reduction method is used to estimate the interval mean and standard variance. The sensitivities of the robust objective function can be obtained after the hybrid uncertainty analysis. A benchmark numerical example is used to showcase the effectiveness of this method.
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