In this study, a simple mathematical model is introduced to predict the stress–strain curves under the occurrence of minor dynamic recrystallization. In this regard, first, with the assumption of nonlinear variation of strain-hardening rate versus strain, a mathematical equation was derived to obtain the strain-hardening rate. Then, using the Voce’s equation, a new mathematical model was developed to predict the hot deformation behavior of metallic alloys at high strain rates. The most important feature of the proposed model is its simplicity so that the only constant of the stress–strain equation can easily be interpolated at different temperatures and strain rates. Accordingly, it was found that the defined material constant varies linearly and exponentially with strain rate and temperature, respectively. The high correlation factors (average correlation factor, r2 = 0.85) obtained from regression analysis showed that the model can provide a precise estimation of flow stress curves for the defined deformation conditions.

中文翻译：

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利用 Voce 应变硬化模型的现象学模型描述了 800H 合金在热加工过程中的高应变率行为

在这项研究中，引入了一个简单的数学模型来预测发生轻微动态再结晶时的应力-应变曲线。在这方面，首先，假设应变硬化率与应变呈非线性变化，推导出数学方程以获得应变硬化率。然后，使用 Voce 方程，开发了一种新的数学模型来预测金属合金在高应变率下的热变形行为。所提出的模型最重要的特点是它的简单性，因此应力-应变方程的唯一常数可以很容易地在不同的温度和应变率下进行插值。因此，发现定义的材料常数分别随应变速率和温度呈线性和指数变化。