Abstract Control over the inelastic deformation of polycrystals aimed at achieving desired performance characteristics of finished products is impossible without analyzing the structural evolution of the material at different scale levels. A major task in this respect is to develop physically sound mathematical models for describing the internal structure evolution as it determines the material properties. An effective tool for addressing this task is a multilevel approach to describing the thermomechanical processing of crystalline materials, in which carriers and physical mechanisms of processes are considered explicitly. Thermomechanical processing allows a good control over the defect and grain/subgrain structure of the material to achieve desired macrocharacteristics. This paper explores the subgrain/grain structure evolution during static recrystallization that occurs through strain-induced boundary migration. Modeling is carried out in two stages. The first stage models the plastic deformation of a crystalline material at room temperature. The second stage considers holding at an elevated temperature resulting in recrystallization. Both stages are modeled within a unified multilevel approach. The problem of modeling static recrystallization is formulated, and an algorithm for its numerical implementation is described. The modeling results are obtained for a bicrystal in which each grain is represented by a group of lower-scale elements (subgrains). Recrystallization causes profound changes in the subgrain structure geometry, the average size of subgrains, and their shape change. Recrystallized subgrains are more elongated compared to the original ones. During recrystallization more defective grains are replaced with less defective grains, and as a result the energy stored in the material decreases. The developed model qualitatively describes the release of stored energy. Numerical experiments revealed a critical plastic strain value below which recrystallization does not occur.

中文翻译：

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通过应变诱导边界迁移的静态再结晶模型

摘要 如果不分析材料在不同尺度水平上的结构演变，就不可能控制多晶的非弹性变形以实现成品所需的性能特征。这方面的一项主要任务是开发物理上可靠的数学模型来描述内部结构演变，因为它决定了材料特性。解决此任务的有效工具是描述晶体材料热机械加工的多层次方法，其中明确考虑了过程的载体和物理机制。热机械加工可以很好地控制材料的缺陷和晶粒/亚晶粒结构，以实现所需的宏观特性。本文探讨了通过应变引起的边界迁移发生的静态再结晶过程中的亚晶粒/晶粒结构演变。建模分两个阶段进行。第一阶段模拟晶体材料在室温下的塑性变形。第二阶段考虑在高温下保持导致再结晶。这两个阶段都在统一的多级方法中建模。公式化了静态再结晶建模问题，并描述了其数值实现的算法。模拟结果是针对双晶获得的，其中每个晶粒由一组较低尺度的元素（亚晶粒）表示。再结晶引起亚晶结构几何形状、亚晶平均尺寸及其形状变化的深刻变化。与原始亚晶相比，再结晶亚晶更细长。在再结晶过程中，更多的缺陷晶粒被缺陷更少的晶粒所取代，结果储存在材料中的能量减少。开发的模型定性地描述了储存能量的释放。数值实验揭示了临界塑性应变值，低于该值不会发生再结晶。