In this work, a novel dislocation density field-based crystal plasticity formulation, that incorporates up-scaled continuum dislocation density fields to represent all possible characters of the dislocation density, is presented. The continuum dislocation field theory, formulated assuming large strain kinematics, is based on an all-dislocation concept, whereby individual dislocation density types are described as vector fields. The evolutionary behaviour of the dislocation density fields is defined in terms of a glide component derived from the classical general conservation law for dislocation density fields proposed originally by Kroner and Acharya, a rotation one given by the curl of the dislocation velocity vector as proposed originally by Ngan and co-workers, and a statistically stored dislocation source/sink component.

中文翻译：

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一种新颖的基于连续体位错密度场的晶体塑性理论

在这项工作中，提出了一种新颖的基于位错密度场的晶体塑性公式，该公式结合了放大的连续体位错密度场来表示位错密度的所有可能特征。连续体位错场理论是在假设大应变运动学的情况下制定的，基于全位错概念，其中各个位错密度类型被描述为矢量场。位错密度场的演化行为是根据由 Kroner 和 Acharya 最初提出的位错密度场的经典一般守恒定律导出的滑移分量来定义的，这是由位错速度矢量的旋度给出的旋转，最初由 Kroner 和 Acharya 提出Ngan 和同事，以及统计存储的位错源/汇组件。