将现实微结构转化为理想化周期单元格的高通量统计均质化技术

IF 1.9 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
S Caleb Foster, Justin W Wilkerson
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引用次数: 0

摘要

金属合金经常含有第二相颗粒分布,这些颗粒作为空洞成核的场所,会对材料行为产生有害影响。这些分布通常极为复杂,加工过程会导致高度各向异性。由于颗粒长度尺度的限制,无法在宏观模拟中建立高保真的微观结构模型,因此通常采用计算均质化方法。然而,这些方法涉及简化假设,使问题易于处理,而且许多方法依赖于周期性微结构。在此,我们提出了一种方法,用于弥合由各向异性、空间变化的第二相空隙形态组成的现实微结构与具有大致相同机械响应的理想化周期微结构之间的差距。我们创建了一项高通量参数研究,以调查 96 种独特的桥接方法。我们将提出的解决方案应用于轧制的 AZ31B 镁合金,我们拥有丰富的微观结构形态和力学行为数据集。我们的方法将现实微观结构的 µ-CT 扫描转换为理想化的周期单元微观结构,这种微观结构具有特定的加载方向。我们在商业有限元软件中为每个参数集重新创建单元格,使其承受宏观单轴加载条件,并将结果与不同加载方向的数据集进行比较。我们发现,某些参数组合能在一定程度上成功捕捉整体应力-应变响应,包括各向异性效应。我们详细探讨了不同参数选项的效果,并发现将某些颗粒群排除在分析之外可以改善结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A high-throughput statistical homogenization technique to convert realistic microstructures into idealized periodic unit cells
Metal alloys frequently contain distributions of second-phase particles that deleteriously affect the material behavior by acting as sites for void nucleation. These distributions are often extremely complex and processing can induce high levels of anisotropy. The particle length-scale precludes high-fidelity microstructure modeling in macroscale simulations, so computational homogenization methods are often employed. These, however, involve simplifying assumptions to make the problem tractable and many rely on periodic microstructures. Here we propose a methodology to bridge the gap between realistic microstructures composed of anisotropic, spatially varying second-phase void morphologies and idealized periodic microstructures with roughly equivalent mechanical responses. We create a high-throughput, parametric study to investigate 96 unique bridging methods. We apply our proposed solution to a rolled AZ31B magnesium alloy, for which we have a rich dataset of microstructure morphology and mechanical behavior. Our methodology converts a µ-CT scan of the realistic microstructure to idealized periodic unit cell microstructures that are specific to the loading orientation. We recreate the unit cells for each parameter set in a commercial finite element software, subject them to macroscopic uniaxial loading conditions, and compare our results to the datasets for the various loading orientations. We find that certain combinations of our parameters capture the overall stress–strain response, including anisotropy effects, with some degree of success. The effect of different parameter options are explored in detail and we find that excluding certain particle populations from the analysis can give improved results.
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来源期刊
CiteScore
3.30
自引率
5.60%
发文量
96
审稿时长
1.7 months
期刊介绍: Serving the multidisciplinary materials community, the journal aims to publish new research work that advances the understanding and prediction of material behaviour at scales from atomistic to macroscopic through modelling and simulation. Subject coverage: Modelling and/or simulation across materials science that emphasizes fundamental materials issues advancing the understanding and prediction of material behaviour. Interdisciplinary research that tackles challenging and complex materials problems where the governing phenomena may span different scales of materials behaviour, with an emphasis on the development of quantitative approaches to explain and predict experimental observations. Material processing that advances the fundamental materials science and engineering underpinning the connection between processing and properties. Covering all classes of materials, and mechanical, microstructural, electronic, chemical, biological, and optical properties.
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