用考虑温度和应变率效应的西格玛函数建立金属材料应变硬化模型

Materials Pub Date : 2024-08-08 DOI:10.3390/ma17163950
Boyu Pan, F. Shen, Sanjay Raghav Sampathkumar, Sebastian Münstermann
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引用次数: 0

摘要

考虑到温度和应变速率的影响,本研究采用西格玛函数来描述金属材料的塑性应变硬化。研究评估了这种方法的有效性,并与其他硬化规律进行了系统比较。将温度效应和应变速率效应纳入该曲线型硬化定律的参数中,可以更精确地描述和预测材料在不同温度和应变速率组合下的塑性变形。温度效应采用简化的阿伦尼乌斯模型,应变速率效应采用改进的约翰逊-库克模型。西格玛硬化定律与非对称屈服准则相结合,以解决各向异性和强度差异效应等复杂行为。构成模型的校准和验证包括检查不同方向的单轴拉伸/压缩流动曲线以及各种金属合金的双轴拉伸/压缩流动曲线,从而证明了所提出模型的广泛适用性。
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Modeling Strain Hardening of Metallic Materials with Sigmoidal Function Considering Temperature and Strain Rate Effects
This study uses a sigmoidal function to describe the plastic strain hardening of metallic materials, considering temperature and strain rate effects. The effectiveness of this approach is evaluated and systematically compared with other hardening laws. Incorporating temperature and strain rate effects into the parameters of this sigmoidal-type hardening law enables a more precise description and prediction of the plastic deformation of materials under different combinations of temperature and strain rate. The temperature effect is coupled using a simplified Arrhenius model, and the strain rate effect is coupled with a modified Johnson–Cook model. The sigmoidal-type hardening law is integrated with an asymmetric yield criterion to address complex behavior, such as anisotropy and strength differential effects. The calibration and validation of the constitutive model involve examining uniaxial tensile/compressive flow curves in various directions and biaxial tensile/compressive flow curves for diverse metallic alloys, proving the proposed model’s broad applicability.
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