Data-Driven Mean-Field Homogenization: Enhancing the accuracy of the Mori-Tanaka method

IF 7.1 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Composite Structures Pub Date : 2025-03-01 Epub Date: 2025-02-20 DOI:10.1016/j.compstruct.2025.118985

Witold Ogierman

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Abstract

The Mori-Tanaka method is well-known for its good predictive capabilities and excellent time efficiency. However, a significant weakness of the Mori-Tanaka method is its decreasing accuracy as the volume fraction of particles increases. Therefore, this paper focuses on developing a new approach to improve stiffness predictions for particle-reinforced composites across a wide range of particle volume fractions by using a mixed data-driven and mean-field homogenization modelling strategy. The basic idea is to modify the strain concentration tensor by fitting the results of Mori-Tanaka homogenization to data generated using numerical full-field homogenization based on the representative volume element (RVE). The modified tensor can then replace the original strain concentration tensor within the established framework of Mori-Tanaka homogenization to predict the effective stiffness. The results obtained using the proposed approach are in good agreement with those provided by full-field finite element-based homogenization. Moreover, the results obtained through Mori-Tanaka and double inclusion methods have been added for reference. The presented results demonstrate the potential of the proposed data-driven mean-field model as an efficient approach for addressing the micromechanics of particle-reinforced composites.

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数据驱动的平均场均匀化：提高Mori-Tanaka方法的准确性

Mori-Tanaka方法以其良好的预测能力和出色的时间效率而闻名。然而，Mori-Tanaka方法的一个显著缺点是其精度随着颗粒体积分数的增加而降低。因此，本文的重点是开发一种新的方法，通过使用混合数据驱动和平均场均匀化建模策略，提高颗粒增强复合材料在大范围颗粒体积分数下的刚度预测。其基本思想是将Mori-Tanaka均质化结果拟合到基于代表性体积元（RVE）的数值全场均质化生成的数据中，从而修正应变浓度张量。修正后的张量可以在Mori-Tanaka均质化框架内代替原有的应变浓度张量来预测有效刚度。采用该方法得到的结果与基于全场有限元的均匀化方法得到的结果吻合较好。并补充了Mori-Tanaka法和双包合法所得结果，供参考。研究结果表明，数据驱动的平均场模型是解决颗粒增强复合材料微观力学问题的有效方法。

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.