Field Theory-based Multiscale Modeling of Polycrystalline PlasticityField Theory-based Multiscale Modeling of Polycrystalline Plasticity

目前的一系列研究主要从一个全新的观点——“场论”，确定了金属材料多晶塑性的三个关键特征，这些特征与组成晶体的集体行为有关。它们是：(1)随着组成样品的晶粒数量的增加，应力场和应变场的波动越来越大，尤其是流体静力和偏力分量，最终形成应力支撑结构（SSS）和载流结构（FCS）； (b)通过互补发展的SSS和FCS激活的远程效应；(c)两个波动场之间的“对偶性”。提出了基于兼容张量的场相互作用的新概念，并给出了几个初步的应用实例。此外，在不均匀性方面确定了三个重要的尺度水平，即(A)位错子结构，(B)颗粒内和颗粒外尺度，并针对单个尺度提出了不同的处理方法和相关的建模和模拟方法。

The present series of studies primarily identify three key features of polycrystalline plasticity of metallic materials relating to the collective behavior of composing crystal grains from a completely new standpoint called "field theory." They are (1) growing fluctuations in stress and strain fields with increasing number of crystal grains composing the sample, especially in the hydrostatic and deviatoric components, respectively, which ultimately form stress supporting structure (SSS) and flow-carrying structure (FCS), (b) remote effect activated through the complimentarily developed SSS and FCS, and (c)"duality" between the two fluctuating fields. Also, new notions about field interactions based on compatibility tensor, together with a couple of preliminary application examples are provided. Furthermore, three important scale levels in terms of inhomogeneity are identified for tackling the multiscale polycrystalline plasticity, i.e., (A)dislocation sub-structural, (B)intra-granular and ctrans-granular scales, and distinct treatments and associated modeling and simulation methodologies for the individual scales are proposed.