Geometry of kink microstructure analysed by rank-1 connection
Geometry of kink microstructure analysed by rank-1 connection
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DOI：
10.1016/j.actamat.2019.05.023
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发表时间：
2019-07
期刊：
影响因子：
9.4
通讯作者：
T. Inamura
中科院分区：
文献类型：
--
作者：
T. Inamura
基于秩1联系，揭示了表征扭结带、脊扭结和正交扭结的几何量之间的运动关系和连接扭结带中存在的错位，这是变形连续的条件。由于扭结的几何形状简单，得到了扭结平面和扭结带的晶体旋度作为扭结内部剪切量的函数的解析形式。用秩1关系预测的扭结带几何形状与文献实验数据符合得很好。山脊扭结和正交扭结被视为两个扭结带的1阶连接。当扭结带的结合面没有到达人体表面时，在任何扭结带连接中不可避免地形成正、负部分楔形错动。此外，还得到了扭结带中剪切强度的函数形式的倾斜量Frank矢量。存在相容的扭结微结构，其中的错位被抵消。揭示了扭结或滑移组合对倾斜角的完全松弛和湮灭模式。根据位错的形成和消除，讨论了扭结组织和扭结强化的本质。
The kinematical relationships among the geometric quantities that characterise kink bands, ridge kinks, and ortho kinks and the existence of disclinations in connecting kink bands were revealed based on the rank-1 connection, which is a condition of the continuity of deformation. Owing to the simple geometry of the kinks, the kink plane and the crystallographic rotation of the kink band were obtained in analytic forms as functions of the magnitude of the shears inside kinks. The geometry of the kink band predicted by the rank-1 connection agreed well with literature experimental data. Ridge kinks and ortho kinks were treated as the rank-1 connection of two kink bands. Positive and negative partial wedge disclinations were inevitably formed in any kink band connections when the junction plane of the kink bands did not reach the surface of the body. The Frank vector of the disclinations was also obtained as a function of the shear magnitudes in the kink bands. There exist compatible kink microstructures in which the disclinations are cancelled. Modes of complete relaxation and annihilation of disclinations by combinations of kinks or slip deformations were revealed. The nature of the kink microstructure and kink strengthening was discussed based on the formation and annihilation of disclinations.