arXiv:2501.10193math.NAcond-mat.mtrl-sci2025-01被引 2

用神经网络替代传统模拟,更准预测复合材料斜向受力下的变形行为。

Surrogate-based multiscale analysis of experiments on thermoplastic composites under off-axis loading

  • 用物理嵌入的神经网络做代理模型,高效捕捉材料历史依赖性
  • 发现宏观应变场不均匀是传统方法误差主因,验证了多尺度必要性
  • 适合材料建模、仿真优化及实验设计改进的研究者参考

本文提出一种基于代理模型的多尺度方法,用于模拟单向热塑性复合材料在斜向加载下的恒定应变速率与蠕变实验。此前研究多采用单尺度微观力学模拟,假设宏观均质,虽高效准确,但在小斜角条件下与实验结果偏差显著。推测此差异源于宏观非均质性,需多尺度建模。但全场多尺度模拟计算成本过高。为此,我们以物理可解释的循环神经网络(PRNN)替代微模型,融合数据驱动与本构模型,自然表征历史依赖行为,并通过迁移学习实现隐空间可解释性,无需重新训练。代理模型验证了宏观应变场非均质性的假设,并揭示斜向夹具调整对实验的影响。结果显示,该方法在广泛工况下优于单尺度模拟,但蠕变实验精度有限,因材料参数校准已隐含宏观测试效应。

原文摘要 · Abstract (English)

In this paper, we present a surrogate-based multiscale approach to model constant strain-rate and creep experiments on unidirectional thermoplastic composites under off-axis loading. In previous contributions, these experiments were modeled through a single-scale micromechanical simulation under the assumption of macroscopic homogeneity. Although efficient and accurate in many scenarios, simulations with low-off axis angles showed significant discrepancies with the experiments. It was hypothesized that the mismatch was caused by macroscopic inhomogeneity, which would require a multiscale approach to capture it. However, full-field multiscale simulations remain computationally prohibitive. To address this issue, we replace the micromodel with a Physically Recurrent Neural Network (PRNN), a surrogate model that combines data-driven components with embedded constitutive models to capture history-dependent behavior naturally. The explainability of the latent space of this network is also explored in a transfer learning strategy that requires no re-training. With the surrogate-based simulations, we confirm the hypothesis raised on the inhomogeneity of the macroscopic strain field and gain insights into the influence of adjustment of the experimental setup with oblique end-tabs. Results from the surrogate-based multiscale approach show better agreement with experiments than the single-scale micromechanical approach over a wide range of settings, although with limited accuracy on the creep experiments, where macroscopic test effects were implicitly taken into account in the material properties calibration.

多尺度建模复合材料神经网络代理实验仿真

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