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

本系列研究从一个全新的观点“场论”出发，主要确定了金属材料多晶塑性的三个关键特征，这些特征与组成晶粒的集体行为有关。它们是：（1）随着组成样品的晶粒数目的增加，应力场和应变场的波动不断增大，特别是在流体静力分量和偏分量中，它们分别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”。此外，基于相容张量的场相互作用的新概念，连同一对夫妇的初步应用实例提供。此外，三个重要的尺度水平方面的不均匀性被确定为解决多尺度多晶塑性，即，（A）位错亚结构，（B）晶内和跨晶尺度，以及对各个尺度的不同处理和相关的建模与模拟方法。

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.