Advanced deep learning framework for multi-scale prediction of mechanical properties from microstructural features in polycrystalline materials

IF 7.3 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-02-21 DOI:10.1016/j.cma.2025.117844
Zihao Gao , Changsheng Zhu , Canglong Wang , Yafeng Shu , Shuo Liu , Jintao Miao , Lei Yang
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Abstract

The intricate relationship between the microstructure of materials and their mechanical properties remains a significant challenge in the field of materials science. This study introduces a novel deep learning framework aimed at predicting mechanical properties from both global and local perspectives. Taking the dual-phase Ti-6Al-4V alloy as an example, we first predict stress–strain curves and yield strength under complex microstructural conditions to describe global mechanical behavior, followed by an analysis of the distribution of the local stress field and stress concentration phenomena. To achieve this, we employ an improved graph attention network (IGAT), which effectively captures complex intergranular relationships and enables accurate predictions of global properties by integrating node features with graph structural information. Additionally, a three-dimensional conditional denoising diffusion probabilistic model (3D-cDDPM) was developed for local stress field analysis, generating detailed stress field distributions through an iterative denoising process and capturing stress concentration phenomena in critical microstructural regions. The results demonstrate that this framework effectively predicts multiscale mechanical responses in various microstructural configurations. The IGAT model achieves a mean relative error (MRE) of 0. 399% on the set of tests for global performance prediction, outperforming both the graph convolutional network (GCN) and the three-dimensional convolutional neural network (3D-CNN). For local stress field predictions, the 3D-cDDPM maintains an error range of 0.4% to 7%, with the generated stress distribution maps closely matching the ground truth. This work advances the development of material design and performance optimization methods, providing critical insights into the integration of computational modeling with materials science.
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基于微结构特征的多晶材料力学性能多尺度预测的先进深度学习框架
材料微观结构与其力学性能之间的复杂关系一直是材料科学领域的一个重大挑战。本研究引入了一种新的深度学习框架,旨在从全局和局部角度预测机械性能。以双相Ti-6Al-4V合金为例,首先预测了复杂显微组织条件下的应力-应变曲线和屈服强度,描述了整体力学行为,然后分析了局部应力场分布和应力集中现象。为了实现这一点,我们采用了改进的图注意网络(IGAT),它有效地捕获复杂的粒间关系,并通过将节点特征与图结构信息集成在一起,实现对全局属性的准确预测。此外,建立了局部应力场分析的三维条件去噪扩散概率模型(3D-cDDPM),通过迭代去噪过程生成详细的应力场分布,捕捉关键微观结构区域的应力集中现象。结果表明,该框架能有效预测不同微观结构构型下的多尺度力学响应。IGAT模型的平均相对误差(MRE)为0。在全局性能预测的测试集上达到399%,优于图卷积网络(GCN)和三维卷积神经网络(3D-CNN)。对于局部应力场预测,3D-cDDPM保持了0.4% - 7%的误差范围,生成的应力分布图与地面真实情况非常吻合。这项工作推动了材料设计和性能优化方法的发展,为计算建模与材料科学的整合提供了重要的见解。
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来源期刊
CiteScore
12.70
自引率
15.30%
发文量
719
审稿时长
44 days
期刊介绍: Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.
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