arXiv:2605.18835cs.LG2026-05

用几何和材料数据快速预测钣金成形物理场,1秒内精度超90%

StampFormer: A Physics-Guided Material-Geometry-Coupled Multimodal Model for Rapid Prediction of Physical Fields in Sheet Metal Stamping

论文配图:StampFormer: A Physics-Guided Material-Geometry-Coupled Multimodal Model for Rapid Prediction of Physical Fields in Sheet Metal Stamping
图 1 · 摘自论文原文
  • 融合几何与材料本构数据,构建多模态物理引导模型
  • 4个二维场平均误差<8.5%,三维位移均方误差<1.2 mm²
  • 适合需要实时可制造性评估的工业设计场景

传统钣金成形依赖耗时昂贵的有限元分析(FEA)进行设计验证,显著延长设计周期。尽管代理模型能加速迭代,但现有方法存在局限:标量模型无法捕捉完整的场分布结果,图像模型则常忽略材料属性而仅关注几何。为此,我们提出物理引导的深度学习框架StampFormer,同时利用部件几何与材料应力-应变响应预测FEA结果。该框架包含三个核心组件:物料增强几何网络(MAGN)首先融合几何与材料数据;层级材料嵌入注入单元(HMEIU)在多尺度整合信息;主干网络为改进的Swin-UNet。我们在十字梁面板的钢制与铝制板件两个仿真数据集上评估模型,结果显示StampFormer可在不到1秒内高保真预测薄化、主应变、次应变、塑性应变及位移等关键物理场。与真实FEA相比,四个二维场平均相对误差低于8.5%,三维位移场均方误差小于1.2 mm²。本研究提出一种高效实用的多模态融合框架,实现几何与材料信息协同建模,支持设计师实时开展可制造性评估。

原文摘要 · Abstract (English)

Traditional sheet metal forming relies on time-consuming and expensive Finite Element Analysis (FEA) for design validation, a process that significantly prolongs design cycles. While surrogate models offer faster iteration, current approaches have limitations: scalar-based methods cannot capture comprehensive field-based FEA results, while existing image-based models often ignore the critical role of material properties by focusing solely on geometry. To address this gap, we develop a physics-guided deep learning framework, namely StampFormer, which simultaneously uses component geometry and material stress-strain responses to predict FEA outcomes. The StampFormer framework uses three core components to process data. A Material-Augmented Geometric Network (MAGN) first fuses geometric and material data. This information is then integrated at various levels by a Hierarchical Material Embedding Injection Unit (HMEIU) before being processed by the primary network backbone, an adapted Swin-UNet. We evaluated our model on the stamping of a crossmember panel with two simulation datasets for steel and aluminium panels, and results demonstrate that StampFormer provides high-fidelity predictions of critical physical fields - including thinning, major strain, minor strain, plastic strain, and displacement - in under a second. Compared with ground truth FEA, our model achieved an average relative error of less than 8.5% on the four 2D fields and a mean squared error of less than 1.2 mm2 for the 3D displacement field. In summary, we introduce a practical and efficient framework that integrates multimodal information, namely geometry and material properties, to provide fast and accurate predictions, enabling designers to perform real-time manufacturability assessments.

钣金成形多模态物理引导快速预测

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