In this contribution, the two-scale analysis of residual stress states in a hot bulk formed part with subsequent cooling in the framework of the \(\hbox {FE}^2\)-method is presented. The induction of specific residual stress states in order to improve a component’s properties is an area of current research. In general, residual stresses can be induced inside a component in different ways, e.g., quenching, phase transformation in hot forming processes or dislocation movements. It is widely known that different types of residual stresses can be characterized based on the scale the type acts on. In addition to the macroscopic residual stress analysis, in which residual stresses of first type are considered, this contribution specifically analyzes the microscopic residual stress evolution as a consequence of the cooling of the component.

在此贡献中，对热块体中残余应力状态的两尺度分析以及随后在\（\ hbox {FE} ^ 2 \）框架中的冷却-方法已提出。为了改善部件的性能而引入特定的残余应力状态是当前研究的一个领域。通常，残余应力可以通过不同的方式在组件内部引起，例如淬火，热成型过程中的相变或位错运动。众所周知，可以根据类型作用的尺度来表征不同类型的残余应力。除了考虑了第一类残余应力的宏观残余应力分析外，该贡献还专门分析了由于组件冷却而产生的微观残余应力。