In this work, dislocation density-based recovery and recrystallization models are implemented in an incremental elasto-viscoplastic self-consistent (ΔEVPSC) crystal plasticity model to interpret and predict ex-situ and in-situ thermo-mechanical and neutron diffraction datasets pertaining to deformation, recovery, and recrystallization behavior of pure Ta. A dislocation density-based hardening law available in ΔEVPSC is appropriately modified to enable a temperature dependent modeling of static recovery during heating. The ΔEVPSC model is further extended to calculate the second moments of stress incrementally in each grain. The second moments of stress are used to calculate the second moments of lattice spin, which are then used to calculate the intragranular misorientation spreads. The intragranular misorientation spreads developing during plastic deformation of grains are used to conceive transition bands and grain boundary nucleation mechanisms during recrystallization. The nucleation of new grains during recrystallization is also sensitive to annealing temperature. The implementations are validated by simulating elasto-plastic compression along two directions and subsequent static recovery/recrystallization data of Ta. Good agreement with the measured mechanical and diffraction data is achieved in terms of predicting the evolution of flow response, lattice strains during deformation, dislocation density during recovery, and texture during deformation and recrystallization with unique sets of fitted parameters. A rolling and subsequent full recrystallization of Ta is additionally simulated to demonstrate the applicability and versatility of the developed model.

中文翻译：

---

使用高阶弹性-粘塑性自洽模型对钽的变形、恢复和再结晶进行建模


在这项工作中，在增量弹-粘塑性自洽 （ΔEVPSC） 晶体塑性模型中实现了基于位错密度的恢复和再结晶模型，以解释和预测与纯 Ta 的变形、恢复和再结晶行为有关的非原位和原位热机械和中子衍射数据集。对 ΔEVPSC 中可用的基于位错密度的硬化定律进行了适当修改，以实现加热过程中静态恢复的温度相关建模。ΔEVPSC 模型进一步扩展以增量计算每个晶粒中的第二应力矩。应力的第二矩用于计算晶格自旋的第二矩，然后用于计算晶内取向差。晶粒塑性变形过程中形成的晶内取向差扩展用于构想再结晶过程中的过渡带和晶界成核机制。再结晶过程中新晶粒的成核对退火温度也很敏感。通过模拟沿两个方向的弹塑性压缩和随后的 Ta 静态恢复/再结晶数据来验证这些实施。在预测流动响应的演变、变形过程中的晶格应变、恢复过程中的位错密度以及变形和再结晶过程中的织构方面，使用独特的拟合参数集，与测量的力学和衍射数据取得了良好的一致性。此外，还模拟了 Ta 的轧制和随后的完全再结晶，以证明所开发模型的适用性和多功能性。