Recently, the rapid advancement of deep learning technology has led to the development of numerous topology optimization approaches, significantly reducing computational costs. However, conventional deep learning-based methods inherently suffer from a chronic limitation. They require large-scale data to extract features from the data itself. In particular, in the worst-case scenario where the data is insufficient, these methods may fail to capture the physical characteristics of the structure accurately, potentially leading to physically meaningless and unrealistic results. To solve this problem, this paper proposes an enhanced deep learning model suitable for topology optimization. The main novelty of this study is embedding the feature of topology optimization into a deep learning model. To effectively embed the topology domain, the proposed method introduces three key strategies. Firstly, topology convolutional neural network (CNN) filter layers are incorporated into the neural network model. A CNN is a specialized deep learning architecture designed for grid-structured data such as images, and the topology CNN filter layers are specifically designed to enhance structural connectivity by considering the influence of neighboring elements. Secondly, the pixel-based loss function is augmented with physics-informed loss functions that encapsulate the physical knowledge of topology optimization. Thirdly, a modified output layer is added to prevent zero values in the structure, thereby enhancing numerical stability. Numerical experiments demonstrate that the proposed deep learning approach successfully overcomes the limitations of conventional deep learning methods in data-scarce environments. Furthermore, the results confirm that the proposed method produces designs comparable to the traditional SIMP method.
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