The generalized Peierls–Nabarro model
The generalized Peierls–Nabarro model
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DOI：
10.1080/01418619408242240
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发表时间：
1994-06
影响因子：
1.6
通讯作者：
G. Schoeck
中科院分区：
文献类型：
--
作者：
G. Schoeck
摘要 在原始 Peierls-Nabarro 模型中，位错的核心结构被确定为积分微分方程的解。该方程描述了两个弹性半空间变形和作用在滑移面上的一维周期性晶格势产生的力之间的平衡。这里描述了一种方法，该方法允许获得任意各向异性晶体中任意滑移平面中具有任意伯格矢量的直位错的核心结构和核心能量，其位移势由二维傅里叶级数表示。这是通过使用一组自由参数的适当试验函数描述内部位移来实现的，然后通过最小化总能量来确定其值。该方法用于获得f.c.c.的{111}面解离的螺旋位错的核心构型。格子。
Abstract In the original Peierls-Nabarro model the core structure of a dislocation is determined as the solution of an integrodifferential equation. This equation describes the balance between the forces resulting from the deformation of two elastic half-spaces and from a one-dimensional periodic lattice potential acting across the glide plane. A method is described here which allows the core structure and core energy to be obtained for a straight dislocation with arbitrary Burgers vector in an arbitrary glide plane in a crystal of arbitrary anisotropy, for which the displacement potential is represented by a two-dimensional Fourier series. This is accomplished by describing the internal displacements by appropriate trial functions with a set of free parameters whose value is then determined by minimizing the total energy. The method is applied to obtain the core configuration of a screw dislocation dissociated in a {111} plane of a f.c.c. lattice.