论文标题
粘性多晶材料中应力场替代应力场的替代建模的人工神经网络
An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials
论文作者
论文摘要
这项工作的目的是开发人工神经网络(ANN),用于替代粘质谷物微观结构的机械响应的替代建模。为此,对基于U-NET的卷积神经网络(CNN)进行了训练,以解释物质行为的历史依赖性。训练数据以准静态拉伸载荷下的von Mises应力场的数值模拟结果形式。训练有素的CNN(TCNN)可以准确地重现平均响应以及局部von Mises应力场。 TCNN计算训练数据集中未包含的谷物微结构的von mises应力场,其基于其基于数值溶液的计算速度约500倍,其光谱求解器的光谱求解器的频谱求解器是相应的初始结合物值问题。 TCNN还成功地应用于其他类型的微结构形态(例如矩阵 - 包含类型拓扑),训练数据集中不包含加载水平。
The purpose of this work is the development of an artificial neural network (ANN) for surrogate modeling of the mechanical response of viscoplastic grain microstructures. To this end, a U-Net-based convolutional neural network (CNN) is trained to account for the history dependence of the material behavior. The training data take the form of numerical simulation results for the von Mises stress field under quasi-static tensile loading. The trained CNN (tCNN) can accurately reproduce both the average response as well as the local von Mises stress field. The tCNN calculates the von Mises stress field of grain microstructures not included in the training dataset about 500 times faster than its calculation based on the numerical solution with a spectral solver of the corresponding initial-boundary-value problem. The tCNN is also successfully applied to other types of microstructure morphologies (e.g., matrix-inclusion type topologies) and loading levels not contained in the training dataset.