Leaving the Slip System ‐ Cross Slip in Continuum Dislocation Dynamics

Leaving the Slip System ‐ Cross Slip in Continuum Dislocation Dynamics
复制标题

离开滑移系统 - 连续体位错动力学中的交叉滑移

DOI:
10.1002/pamm.201900441
复制
发表时间:
2019
期刊:
PAMM
影响因子:
--
通讯作者:
T. Hochrainer
T. Hochrainer
中科院分区:
--
文献类型:
--
作者:
Benedikt Weger;T. Hochrainer

文献摘要

参考文献

被引文献

相似文献

位错是晶体材料塑性变形的主要因素。描述硬化行为的一个重要步骤是考虑交叉滑移,因为它驱动滑移系之间的位错交换,从而在位错增殖或湮灭中发挥重要作用。在基于密度的位错连续体理论中,位错通常被认为是其滑移面内的闭合曲线。然而,最近的离散位错动力学模拟表明,只有一小部分位错实际上是封闭的一个单一的滑移系统,由于交叉滑移和位错反应。因此,我们研究如何移动开放曲线的运动学可以被认为是在位错密度为基础的模型。开放的平面曲线的假设导致修改的位错状态变量的演化方程。这些扩展的演化方程的几何必要位错(GND)的理论和高维连续位错动力学理论(hdCDD)。用有限体积法进行数值计算,检查所得方程的可扩展性。
Dislocations are the main contributors to plastic deformation of crystalline materials. An important step towards the description of hardening behavior is the consideration of cross slip, as it drives the exchange of dislocations between slip systems, thus playing a major role in dislocation multiplication or annihilation. In density based continuum theories of dislocations, dislocations are usually considered closed curves within their slip planes. Recent discrete dislocation dynamics simulations, however, suggest that only a small fraction of dislocations is actually closed on a single slip system, due to cross slip and dislocation reactions. We therefore investigate how the kinematics of moving open curves can be considered in dislocation density based models. The assumption of open planar curves leads to modified evolution equations for the dislocation state variables. These extended evolution equations are presented for the theory of geometrically necessary dislocations (GND) and for the higher dimensional continuum dislocation dynamics theory (hdCDD). The resulting equations are checked for plausibility by numerical calculations using the finite volume method.
DOI: 10.1080/14786435.2015.1026297
发表时间: 2014-09
影响因子: 1.6
作者:
T. Hochrainer
通讯作者: T. Hochrainer