arXiv:2409.00956eess.IVcs.CV2024-09被引 17

用物理约束神经网络直接求解图像变形,精度高且无需调参。

Physics-Informed Neural Network Based Digital Image Correlation Method

  • 以坐标为输入,直接拟合位移场,网络结构简单。
  • 在非均匀变形下保持高精度,边界处理更稳健。
  • 适合与其它神经网络力学分析方法联合使用。

数字图像相关(DIC)是实验力学中全场变形测量的关键技术,传统方法依赖子区匹配确定位移场,但在非均匀变形场景下,形状函数和子区大小等参数的选择较难。近年来基于深度学习的DIC方法通过神经网络将散斑图像映射到位移场,实现高精度测量且无需人工调参,但通常需要复杂网络结构提取图像特征,仍难以保证解的准确性。本文提出基于物理信息神经网络(PINN-DIC)的新方法,不依赖图像特征提取,仅用一个全连接网络,以坐标域为输入,输出位移场,并通过将DIC控制方程嵌入损失函数,在参考与变形散斑图像间通过迭代优化直接求解位移场。仿真与真实实验评估表明,PINN-DIC在非均匀场中保持了深度学习方法的精度,同时具备三大优势:1)通过直接从坐标拟合位移场,以更简单的网络实现更高精度;2)对不规则边界位移场具有强适应性,参数调整极少;3)易于与其他基于神经网络的力学分析方法集成,实现完整的DIC结果分析。

原文摘要 · Abstract (English)

Digital Image Correlation (DIC) is a key technique in experimental mechanics for full-field deformation measurement, traditionally relying on subset matching to determine displacement fields. However, selecting optimal parameters like shape functions and subset size can be challenging in non-uniform deformation scenarios. Recent deep learning-based DIC approaches, both supervised and unsupervised, use neural networks to map speckle images to deformation fields, offering precise measurements without manual tuning. However, these methods require complex network architectures to extract speckle image features, which does not guarantee solution accuracy This paper introduces PINN-DIC, a novel DIC method based on Physics-Informed Neural Networks (PINNs). Unlike traditional approaches, PINN-DIC uses a simple fully connected neural network that takes the coordinate domain as input and outputs the displacement field. By integrating the DIC governing equation into the loss function, PINN-DIC directly extracts the displacement field from reference and deformed speckle images through iterative optimization. Evaluations on simulated and real experiments demonstrate that PINN-DIC maintains the accuracy of deep learning-based DIC in non-uniform fields while offering three distinct advantages: 1) enhanced precision with a simpler network by directly fitting the displacement field from coordinates, 2) effective handling of irregular boundary displacement fields with minimal parameter adjustments, and 3) easy integration with other neural network-based mechanical analysis methods for comprehensive DIC result analysis.

数字图像相关物理信息网络变形测量神经网络

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。