论文标题
压力网:深度学习以脆性材料中的裂缝传播预测压力
StressNet: Deep Learning to Predict Stress With Fracture Propagation in Brittle Materials
论文作者
论文摘要
脆性材料中的灾难性失败通常是由于高度内部应力有助于裂缝的快速生长和裂纹。因此,准确预测最大内部压力对于预测失败时间和改善材料的断裂抗性和可靠性至关重要。现有的高保真方法(例如有限二氧化元素模型(FDEM))受其高计算成本的限制。因此,为了降低计算成本,提出了一种新颖的深度学习模型“应力网”,以预测基于断裂传播和初始应力数据的最大内部应力序列。更具体地说,时间独立的卷积神经网络(TI-CNN)旨在捕获断裂路径和Spall区域断裂的空间特征,双向长期短期记忆(BISTM)网络旨在捕获时间特征。通过融合这些特征,可以准确预测最大内部应力时间的演变。此外,通过动态整合平均平方误差(MSE)和平均绝对百分比误差(MAPE)来设计自适应损耗函数,以反映最大内部应力中的波动。训练后,提出的模型能够计算出大约20秒内最大内部应力的准确多步预测,而FDEM运行时间为4小时,相对于测试数据,平均MAPE为2%。
Catastrophic failure in brittle materials is often due to the rapid growth and coalescence of cracks aided by high internal stresses. Hence, accurate prediction of maximum internal stress is critical to predicting time to failure and improving the fracture resistance and reliability of materials. Existing high-fidelity methods, such as the Finite-Discrete Element Model (FDEM), are limited by their high computational cost. Therefore, to reduce computational cost while preserving accuracy, a novel deep learning model, "StressNet," is proposed to predict the entire sequence of maximum internal stress based on fracture propagation and the initial stress data. More specifically, the Temporal Independent Convolutional Neural Network (TI-CNN) is designed to capture the spatial features of fractures like fracture path and spall regions, and the Bidirectional Long Short-term Memory (Bi-LSTM) Network is adapted to capture the temporal features. By fusing these features, the evolution in time of the maximum internal stress can be accurately predicted. Moreover, an adaptive loss function is designed by dynamically integrating the Mean Squared Error (MSE) and the Mean Absolute Percentage Error (MAPE), to reflect the fluctuations in maximum internal stress. After training, the proposed model is able to compute accurate multi-step predictions of maximum internal stress in approximately 20 seconds, as compared to the FDEM run time of 4 hours, with an average MAPE of 2% relative to test data.