一种新的动态和动态后再结晶的前跟踪拉格朗日模型
A new front-tracking Lagrangian model for the modeling of dynamic and post-dynamic recrystallization
摘要：
在先前的工作（RealIMotion）中，Florez等人（2020）引入了一种模拟不断发展的多域问题的新方法，并在各向同性晶粒生长（GG）的背景下进一步并行开发，没有考虑位错引起的储能（SE）的影响。该方法包括在一个新的前跟踪的方法，其中的独创性之一是，不仅晶粒之间的界面离散化，但他们的散装也网格化和拓扑结构的变化的域是由选择性的局部重新网格化操作的有限元（FE）网格驱动。在这篇文章中，进一步的发展和研究的模型将被提出，主要是考虑晶界迁移（GBM）SE模型的发展。新晶粒的成核的进一步发展将被提出，允许模型动态再结晶（DRX）和后动态再结晶（PDRX）现象。数值算法的准确性和性能在Florez等人（2020）中已被证明是非常有前途的。这里将给出多个测试用例的结果，以验证考虑GG和SE的模型的准确性。将评估DRX和PDRX机制的计算性能，并与使用水平集（LS）公式的经典有限元（FE）框架进行比较。
英文摘要：
A new method for the simulation of evolving multi-domains problems has been introduced in previous works (RealIMotion), Florez et al. (2020) and further developed in parallel in the context of isotropic Grain Growth (GG) with no consideration for the effects of the Stored Energy (SE) due to dislocations. The methodology consists in a new front-tracking approach where one of the originality is that not only interfaces between grains are discretized but their bulks are also meshed and topological changes of the domains are driven by selective local remeshing operations performed on the Finite Element (FE) mesh. In this article, further developments and studies of the model will be presented, mainly on the development of a model taking into account grain boundary migration by (GBM) SE. Further developments for the nucleation of new grains will be presented, allowing to model Dynamic Recrystallization (DRX) and Post-Dynamic Recrystallization (PDRX) phenomena. The accuracy and the performance of the numerical algorithms have been proven to be very promising in Florez et al. (2020). Here the results for multiple test cases will be given in order to validate the accuracy of the model taking into account GG and SE. The computational performance will be evaluated for the DRX and PDRX mechanisms and compared to a classical Finite Element (FE) framework using a Level-Set (LS) formulation.
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