基于人工神经网络的金属材料本构模型在显式有限元中的实现OA
Implementation of metallic material constitutive models based on artificial neural networks in explicit finite element analysis
以CoCrFeNiMn高熵合金为研究对象,首先开展了不同温度与应变率下的压缩实验,获得了应力-应变数据;随后基于实验结果建立了修正的Johnson-Cook本构模型,并用于有限元仿真生成机器学习训练数据.在此基础上构建人工神经网络(artificial neural network,ANN)模型,对材料流动应力进行学习与预测.为实现神经网络在有限元框架中的高效应用,开发了基于FORTRAN的自动代码生成工具,将训练完成的ANN模型嵌入到Abaqus/Explicit计算平台中.结果表明,该方法预测精度高,相对误差低于 1%,且计算效率优于传统本构模型.基于数据驱动的神经网络方法可有效替代传统本构模型在有限元中的应用,为金属材料的数值建模与模拟提供了一条有效路径.
Machine learning techniques have been increasingly applied to the prediction of material behavior and have demonstrated clear advantages over conventional constitutive modeling approaches. The objective of this study was to develop an accurate and computationally efficient data-driven constitutive description for metallic materials under coupled temperature and strain-rate loading conditions. A CoCrFeNiMn high-entropy alloy was selected as the representative material system.Compression experiments were performed over a wide range of temperatures and strain rates to obtain true stress-strain data. Based on the experimental results,a modified Johnson-Cook constitutive model was calibrated to describe strain hardening,strain-rate sensitivity,and thermal softening effects. The calibrated model was then implemented in finite element simulations to generate a large,physically consistent dataset spanning broad thermo-mechanical conditions. This simulation-assisted data generation strategy expanded the training domain while ensuring continuity and stability of the dataset. Using the generated data,an artificial neural network (ANN) model was constructed to learn the nonlinear relationship between strain,strain rate,temperature,and flow stress. The network architecture and training strategy were optimized to improve prediction accuracy and generalization performance. To enable efficient application of the trained ANN within an explicit finite element framework,an automatic FORTRAN code generation tool was developed. The trained ANN parameters were converted into a user-defined material subroutine and embedded into the Abaqus/Explicit platform,allowing direct numerical implementation without external dependencies.The results indicate that the ANN-based constitutive model predicts flow stress with high accuracy,with relative errors remaining below one percent across the investigated loading conditions. In addition,the ANN implementation exhibits higher computational efficiency than the conventional constitutive model in explicit finite element simulations.It is concluded that the data-driven neural network approach can effectively replace traditional phenomenological constitutive models in finite element analysis. The proposed framework provides an efficient and reliable pathway for numerical modeling and simulation of metallic materials under complex thermo-mechanical conditions.
康正东;王少喆;苏步云;康佳鑫;邱吉;树学峰
太原理工大学航空航天学院,山西 太原 030024太原理工大学航空航天学院,山西 太原 030024太原理工大学航空航天学院,山西 太原 030024山西建筑工程集团有限公司,山西 太原 030002太原理工大学航空航天学院,山西 太原 030024太原理工大学航空航天学院,山西 太原 030024
数理科学
机器学习人工神经网络本构模型CoCrFeNiMn高熵合金有限元方法数值实现
machine learningartificial neural networkconstitutive modelCoCrFeNiMn high-entropy alloyfinite element methodnumerical implementation
《爆炸与冲击》 2026 (3)
37-50,14
国家自然科学基金(13202477,12272256)
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