无需训练即可跨材料预测金属增材制造温度场,提升精度与效率。
Material-agnostic temperature field prediction for metal additive manufacturing via a parametric PINN framework

- 分离编码材料属性与时空坐标,通过条件调制融合实现跨材料泛化。
- 相较非参数基线,相对L2误差降低64.2%,训练仅需4.4%的周期。
- 适用于多种金属合金,适合需快速部署的工业增材制造场景。
在金属增材制造(AM)中,准确预测温度场对理解工艺-结构-性能关系至关重要。以往研究虽探索了未见工艺条件下的泛化能力,但常需大量数据、昂贵重训或预训练。跨材料泛化因材料热行为差异仍较少被研究。本文提出一种参数化物理信息神经网络(PINN)框架,可在无标签数据、无需重训或预训练条件下实现跨材料泛化。该框架采用解耦式参数化PINN结构,分别编码材料属性与时空坐标,并通过条件调制融合,更契合控制方程与边界条件中材料参数的乘积作用。结合基于Rosenthal解析解的物理引导输出缩放及混合优化策略,显著提升物理一致性、训练稳定性与收敛性。在多种金属合金的数值模拟实验中,涵盖分布内与分布外情形,均展现优异泛化能力与更高训练效率。具体而言,相比非参数基线,相对L2误差最高降低64.2%,且性能超越基线仅需其4.4%的训练周期。消融实验证明各组件贡献,揭示传统参数化PINN普遍存在的严重训练不稳定性问题。整体上,该框架为温度场建模提供高效可扩展的材料无关解决方案,推动金属AM中更灵活实用的部署。
原文摘要 · Abstract (English)
Accurate temperature field prediction in metal additive manufacturing (AM) is essential for understanding the process-structure-performance relationship. While prior studies have explored generalization to unseen process conditions, they often require extensive datasets, costly retraining, or pre-training. Generalization across different materials also remains relatively unexplored due to the challenges posed by distinct material-dependent thermal behaviors. This paper introduces a parametric physics-informed neural network (PINN) framework for generalization across unseen materials without labeled data, retraining, or pre-training. The framework adopts a decoupled parametric PINN architecture that separately encodes material properties and spatiotemporal coordinates, fusing them through conditional modulation to better align with the multiplicative role of material parameters in the governing equation and boundary conditions. Physics-guided output scaling derived from Rosenthal's analytical solution and a hybrid optimization strategy are further incorporated to enhance physical consistency, training stability, and convergence. Experiments with numerical simulations across diverse metal alloys, including both in-distribution and out-of-distribution cases, demonstrate effective generalizability along with superior training efficiency. Specifically, the proposed framework achieved up to a 64.2% reduction in relative L2 error compared to the non-parametric baseline while surpassing its performance within only 4.4% of the baseline training epochs. Ablation studies clarify each component's contribution and scrutinize the severe training instability prevalent in conventional parametric PINNs. Overall, the proposed framework provides an efficient and scalable material-agnostic solution for temperature field modeling, contributing to more flexible and practical deployment in metal AM.
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