用深度学习模型加速弹性塑性大变形仿真,速度提升五倍且精度更高。
LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids
- 将细长体分区编码为序列,用双阶段Transformer建模变形过程。
- 相比有限元法快5个数量级,平均精度比现有模型高20.47%。
- 已落地工业生产系统,适合需快速高精度仿真的工程场景。
大变形弹性塑性固体的科学计算在众多实际应用中至关重要。传统数值求解器依赖局部离散线性近似,面临精度与效率之间的固有权衡。近年来,深度学习在求解连续介质力学问题上取得显著进展。尽管已有模型探索多种架构并构建系数-解映射,但大多针对通用情形,未考虑具体问题特性,难以准确处理涉及接触、加载与卸载的复杂弹性塑性固体。本文以拉伸弯曲(stretch bending)这一常见金属加工工艺为例,提出LaDEEP——一种用于大变形弹性塑性固体的深度学习代理模型。通过将细长体的分区区域编码为保持其本质顺序性的标记序列,并设计基于Transformer的两阶段模块,输入序列以预测变形。实验表明,LaDEEP相较于有限元方法实现五数量级的速度提升,且平均精度较其他深度学习基线高出20.47%。该模型已部署于真实工业生产系统,表现出卓越的准确性和效率。
原文摘要 · Abstract (English)
Scientific computing for large deformation of elastic-plastic solids is critical for numerous real-world applications. Classical numerical solvers rely primarily on local discrete linear approximation and are constrained by an inherent trade-off between accuracy and efficiency. Recently, deep learning models have achieved impressive progress in solving the continuum mechanism. While previous models have explored various architectures and constructed coefficient-solution mappings, they are designed for general instances without considering specific problem properties and hard to accurately handle with complex elastic-plastic solids involving contact, loading and unloading. In this work, we take stretch bending, a popular metal fabrication technique, as our case study and introduce LaDEEP, a deep learning-based surrogate model for \textbf{La}rge \textbf{De}formation of \textbf{E}lastic-\textbf{P}lastic Solids. We encode the partitioned regions of the involved slender solids into a token sequence to maintain their essential order property. To characterize the physical process of the solid deformation, a two-stage Transformer-based module is designed to predict the deformation with the sequence of tokens as input. Empirically, LaDEEP achieves five magnitudes faster speed than finite element methods with a comparable accuracy, and gains 20.47\% relative improvement on average compared to other deep learning baselines. We have also deployed our model into a real-world industrial production system, and it has shown remarkable performance in both accuracy and efficiency.
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