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

本系列研究主要确定了金属材料多晶可塑性的三个关键特征，这些特征与构成晶体颗粒的集体行为有关，这一全新的观点被称为“场论”。它们是(1)应力场和应变场中随着组成样品的晶体数量的增加而增长的波动，特别是在流体静力和偏心分量中，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而激活的远程效应，以及(C)两个脉动场之间的“二元性”。文中还给出了基于相容张量的场相互作用的新概念，并给出了几个初步应用实例。在此基础上，确定了处理多尺度多晶塑性的三个重要尺度水平，即(A)位错亚结构，(B)晶内和跨晶尺度，并针对各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.