A multi-scale constitutive model for analyzing the tensile deformation of eutectic high-entropy alloys

IF 2.3 3区 工程技术 Q2 MECHANICS Acta Mechanica Pub Date : 2024-11-18 DOI:10.1007/s00707-024-04144-1
Yingying Wang, Yao Yao
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Abstract

The increase of Al percentage x transforms the crystalline structure of (FeCoNiCrMn)100-xAlx high-entropy alloys (HEAs) from single face-centered cubic (FCC) phase to FCC + body-centered cubic (BCC) two phase, which affects subsequent mechanical properties. Therefore, it is necessary to develop a constitutive model that can establish the relationship between microstructure and macro-mechanical properties. In the current study, Mori–Tanaka homogenization method is adopted to describe the evolution of microstructure with increasing Al concentration, which assumes that BCC inhomogeneity is embedded in FCC matrix as a reinforcement phase. A dislocation density-based crystal plasticity theory is employed to simulate the plastic deformation of both FCC and BCC phases. By coupling the influence of Al concentration into the constitutive model, the model is able to predict the plastic deformation of the FCC phase. The multi-scale constitutive theory, implemented into subroutine, is applied to describe the tensile behavior of HEAs. The numerical simulation matches well with the experimental data. The proposed model can accurately predict the tensile deformation of (FeCoNiCrMn)100-xAlx HEAs and provide valuable theoretical guidance for optimizing the mechanical performance of HEAs by adjusting the proportion of the components.

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用多尺度本构模型分析共晶高熵合金的拉伸变形
随着Al含量x的增加,(FeCoNiCrMn)100-xAlx高熵合金(HEAs)的晶体结构由单面心立方(FCC)相转变为FCC +体心立方(BCC)两相,影响了后续的力学性能。因此,有必要建立一种能够建立微观组织与宏观力学性能关系的本构模型。本研究采用Mori-Tanaka均质化方法描述随着Al浓度的增加微观结构的演变,假设BCC不均匀性作为增强相嵌入FCC基体中。采用基于位错密度的晶体塑性理论模拟了FCC相和BCC相的塑性变形。通过将Al浓度的影响耦合到本构模型中,该模型能够预测FCC相的塑性变形。将多尺度本构理论实现到子程序中,用于描述HEAs的拉伸行为。数值模拟结果与实验数据吻合较好。该模型能够准确预测(FeCoNiCrMn)100-xAlx HEAs的拉伸变形,为通过调整构件比例优化HEAs的力学性能提供了有价值的理论指导。
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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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