针对随机分布纤维的复合材料,利用成对纤维数据训练可扩展的数据驱动微观力学模型

IF 8.7 2区 工程技术 Q1 Mathematics
Chaeyoung Hong, Wooseok Ji
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引用次数: 0

摘要

如果使用大量可靠的训练数据对机器学习(ML)模型进行良好的训练,该模型就能很快提供精确的预测结果。通常采用有限元法(FEM)来生成大量的训练数据。然而,这样的训练过程在计算上是非常繁重的,尤其是对于几何结构复杂的结构。更重要的是,训练模型的特定尺寸和/或配置可能会限制训练模型仅适用于同类结构。在本研究中,我们提出了一种可扩展的 ML 方法,该方法具有高效的训练策略,可用于纤维增强复合材料的微机械分析。本文提出了一种可扩展的数据驱动微观力学模型(SDMM),用于预测随机纤维阵列单向复合材料的应力。SDMM 的训练数据以纤维对为单位。单个数据集由纤维对之间的应力值和突出显示纤维对的图像以及影响应力的附近纤维组成。因此,训练微结构可以非常小,但成对 ML 模型可以应用于更大微结构中每一对相邻的两根纤维。通过预测超大代表体积元素中每对纤维之间的最大主应力值,证明了 SDMM 的可扩展性。预测结果的准确性通过有限元分析结果进行评估。结果表明,要获得准确的预测结果,训练数据集中需要一定数量的邻近纤维。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Scalable data-driven micromechanics model trained with pairwise fiber data for composite materials with randomly distributed fibers

Scalable data-driven micromechanics model trained with pairwise fiber data for composite materials with randomly distributed fibers

A machine learning (ML) model can provide a precise prediction very quickly, if it is well trained with a massive amount of reliable training data. A finite element method (FEM) is often employed to generate substantial training data. However, such a training process can be computationally burdensome especially for a geometrically complex structure. More critically, a specific size and/or configuration of a training model may confine the applicability of the trained model to the same kind only. In this study, we present a scalable ML approach with an efficient training strategy for micromechanical analysis of fiber-reinforced composite materials. Here, a scalable data-driven micromechanics model (SDMM) is proposed for predicting stresses in unidirectional composites with random fiber arrays. The training data for SDMM is defined in the unit of a fiber pair. A single dataset is composed of a stress value between a fiber pair and an image highlighting the pair with nearby fibers affecting the stress. Therefore, the training microstructures can be considerably small, but the pairwise ML model can be applied to every pair of adjacent two fibers inside a much larger microstructure. The scalability of SDMM is demonstrated by predicting the maximum principal stress values acting between every fiber pair in a super-sized representative volume element. The accuracy of the prediction results is evaluated by finite element analysis results. It is shown that a certain number of nearby fibers is required in the training datasets for accurate prediction.

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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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