Abstract This paper proposes a new approach for mean field modeling of dynamic recrystallization. The main advantage of the presented model compared to the state of the art is based on a more precise description of the immediate vicinity and of the shape of each grain to describe microstructural evolution all along the hot deformation process. Results provided by the new model are compared to those of a former mean field formulation and those of a full field model with an explicit description of the microstructure. The predictions of the new model in terms of recrystallization kinetics and grain size distributions are satisfactory and the progress when compared to former mean field models is obvious. Furthermore, the limitation of mean field models concerning the non-realistic shape of grain size distributions has been solved in this new formulation.

中文翻译：

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动态再结晶平均场建模的一种新拓扑方法

摘要 本文提出了一种动态再结晶平均场建模的新方法。与现有技术相比，所提出模型的主要优点是基于对每个晶粒的紧邻和形状的更精确描述，以描述整个热变形过程中的微观结构演变。新模型提供的结果与以前的平均场公式和具有显微结构明确描述的全场模型的结果进行了比较。新模型在再结晶动力学和晶粒尺寸分布方面的预测令人满意，与以前的平均场模型相比，进步是显而易见的。此外，