具有内外圆柱形边界的弹性固体中螺位错的细观力学

P. Gusev, M. Gutkin, A. Sheinerman, M. Smirnov
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引用次数: 0

摘要

用虚像位错的方法,严格地求解了空心圆柱体壁面和具有两个圆柱空隙的固体中螺位错的各向同性弹性理论的边值问题。详细分析了位错的弹性应力场、能量和像力。在一种特殊的极限情况下,导出了含有圆柱空隙的半空间中螺旋位错的应力场。所得溶液可用于研究空心纳米管中位错成核和行为的理论研究,也可用于研究塑性变形晶体中柱状空洞的形成和动力学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Micromechanics of screw dislocations in elastic solids with inner and outer cylindrical boundaries
Boundary-value problems in the isotropic theory of elasticity for a screw dislocation in the wall of a hollow cylinder and in a solid with two cylindrical voids have been solved rigorously by means of the method of virtual image dislocations. The elastic stress fields, energies and image forces on the dislocation have been analyzed in detail. In a special limiting case, the stress fields of a screw dislocation in a half-space containing a cylindrical void have been derived. The solutions obtained may be used for theoretical investigation of dislocation nucleation and behavior in hollow nanotubes as well as for a study of the formation and dynamics of cylindrical voids in plastically deformed crystals.
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