Iron and steels are allotropes, meaning they exhibit different crystal configurations. The martensitic transformation is crucial for a variety of processes, such as hardening. It is induced by a combination of undercooling and mechanical deformation. Due to the changing material properties within the phases, and due to topological changes that might occur during the transformation, a phase field approach was chosen that incorporates both the mechanical and the chemical aspect of this problem. A comparison of the Voigt/Taylor approach to the Khachaturyan approach within a multi-variant phase field modeling of the martensitic transformation including a chemical and a mechanical energy contribution is presented in this paper. The model was implemented in the finite element codes FEAP and Z-set independently. Numerical examples are given in order to highlight the features of this model.

钢铁是同素异形体，意味着它们表现出不同的晶体构型。马氏体转变对于各种过程（例如硬化）至关重要。它是由于过冷和机械变形共同引起的。由于相内材料特性的变化，以及在转换过程中可能发生的拓扑变化，因此选择了一种相场方法，该方法兼顾了此问题的机械和化学方面。本文介绍了在马氏体相变的多变量相场建模中，将Voigt / Taylor方法与Khachaturyan方法进行比较，包括化学和机械能的贡献。该模型分别以有限元代码FEAP和Z-set实现。