基于U-Net框架的推进剂细观应力场预测方法

A prediction method for mesoscopic stress field of propellants based on U-Net framework

  • 摘要: 针对传统有限元法预测固体推进剂细观应力场时,因高填充比模型需高密度网格与非线性迭代导致效率低,且现有深度学习多聚焦纤维增强复合材料、对颗粒增强体系适配性不足的问题,本文提出基于U-Net架构的卷积神经网络预测方法。研究改进随机投放算法,构建体积分数达65%的细观模型,结合双线性内聚力模型生成450个Mises应力场数据集;所设计U-Net模型通过编码器-解码器架构与跳跃连接,实现细观结构灰度图到应力场的端到端映射,在1.5 mm×1.5 mm模型预测中,应力场的平均绝对误差(Mean Absolute Error, MAE)约为平均应力的5%、决定系数(Coefficient of Determination, R^2 )超0.85,效率较有限元法提升90%以上;针对大尺寸模型提出“高分辨率输入-窗口平移-重叠区域加权融合”策略,步窗比0.125时效果最优,平均误差降至0.034 MPa、耗时604秒,效率较有限元法(14100秒)提升95%以上。该方法为颗粒增强复合材料细观损伤分析提供精度与效率兼顾的方案,其滑动窗口融合机制对复合材料大尺寸应力场预测具参考价值。

     

    Abstract: To address the low efficiency of the traditional finite element method (FEM) in predicting the mesoscopic stress fields of solid propellants—a problem arising from the need for dense meshing and nonlinear iterations in high-volume-fraction models—and the limited applicability of existing deep learning approaches, which are primarily focused on fiber-reinforced composites, to particle-reinforced systems, this paper proposes a convolutional neural network prediction method based on the U-Net architecture. First, an improved random sequential addition algorithm was employed to construct a representative volume element (RVE) model with a particle volume fraction of 65%. A dataset of 450 Mises stress fields was then generated using a bilinear cohesive zone model. The designed U-Net model, utilizing an encoder-decoder architecture with skip connections, achieves end-to-end mapping from microstructure grayscale images to the full-field stress distribution. For a 1.5 mm × 1.5 mm model, the predictions yielded a mean absolute error of approximately 5% of the average stress and a coefficient of determination exceeding 0.85, with a computational efficiency gain of over 90% compared to FEM. For large-scale models, a ‘high-resolution input, window sliding, and weighted fusion of overlapping regions’ strategy was developed. Optimal performance was achieved with a step-to-window ratio of 0.125, reducing the average prediction error to 0.034 MPa. The entire process was completed in 604 seconds, representing an efficiency improvement of more than 95% over the FEM simulation time of 14,100 seconds. This method provides an efficient and accurate solution for mesoscale damage analysis of particle-reinforced composites. Furthermore, the proposed sliding window fusion mechanism offers a valuable framework for predicting large-scale stress fields in heterogeneous materials.

     

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