Kondratev Nikita, Trusov Peter, Podsedertsev Andrej, Baldin Matvej
Laboratory of Multilevel Structural and Functional Materials Modeling, Perm National Research Polytechnic University, 614990 Perm, Russia.
Mathematical Modeling of Systems and Processes, Perm National Research Polytechnic University, 614990 Perm, Russia.
Materials (Basel). 2022 Aug 5;15(15):5406. doi: 10.3390/ma15155406.
The development of technological methods for processing and manufacturing of functional (with a priori targeted properties) polycrystalline materials and products made of these materials still remains an acute problem. A multilevel modeling approach offers researchers the opportunity to describe inelastic deformation by applying internal variables that give an effective characterization of the material structure at different structural scale levels. High temperature plastic deformation is accompanied by these processes, which leads to a significant rearrangement of the meso- and microstructure of the material. The most substantial contribution to changing the properties of polycrystals is made by the evolution of grain and defect structures at the expense of dynamic recrystallization, which significantly depends on dynamic recovery. In this paper, we consider the problem of the coalescence of subgrains undergoing rotation during inelastic hot deformation. This process is called subgrain coalescence, and it is one of the dynamic recovery mechanisms responsible for changes in the fine subgrain structure. Under applied thermomechanical loads, the coalescence process promotes the formation of recrystallization nuclei and their subsequent growth, which can greatly change the grain structure of a polycrystal. The problem was solved in terms of the advanced statistical model of inelastic deformation, modified to describe the subgrain coalescence process. The model takes into account the local interactions between contacting structural elements (subgrains). These have to be considered so that the grain coalescence caused by a decrease in subboundary energies during their progressive merging can be adequately analyzed. For this purpose, a subgrain structure quite similar to the real structure was modeled using Laguerre polyhedra. Subgrain rotations were investigated using the developed model, which relies on the consideration of the excess density edge component of the same sign dislocations on incidental subgrain boundaries. The results of modeling of a copper polycrystal are presented, and the effects of temperature and strain rate on the subgrain coalescence process is demonstrated.
用于加工和制造功能型(具有先验目标性能)多晶材料以及由这些材料制成的产品的技术方法的发展仍然是一个严峻的问题。多级建模方法为研究人员提供了通过应用内部变量来描述非弹性变形的机会,这些内部变量能够有效地表征不同结构尺度水平下的材料结构。高温塑性变形伴随着这些过程,这会导致材料的细观结构和微观结构发生显著重排。对多晶体性能变化贡献最大的是晶粒和缺陷结构的演变,其代价是动态再结晶,而动态再结晶很大程度上取决于动态回复。在本文中,我们考虑了非弹性热变形过程中发生旋转的亚晶粒合并问题。这个过程被称为亚晶粒合并,它是导致细亚晶粒结构变化的动态回复机制之一。在施加的热机械载荷下,合并过程促进了再结晶核心的形成及其后续生长,这会极大地改变多晶体的晶粒结构。该问题是根据经过修改以描述亚晶粒合并过程的先进非弹性变形统计模型解决的。该模型考虑了接触结构元素(亚晶粒)之间的局部相互作用。必须考虑这些相互作用,以便能够充分分析在亚晶界逐渐合并过程中亚晶界能量降低所导致的晶粒合并。为此,使用拉盖尔多面体对与真实结构非常相似的亚晶粒结构进行了建模。利用所开发的模型研究了亚晶粒旋转,该模型依赖于对相邻亚晶粒边界上同号位错的过剩密度边缘分量的考虑。给出了铜多晶体的建模结果,并展示了温度和应变速率对亚晶粒合并过程的影响。