Dislocation group dynamics I. similarity solutions of the n-body problem
Dislocation group dynamics I. similarity solutions of the n-body problem
复制标题
位错群动力学一、n体问题的相似解
DOI：
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发表时间：
1972
期刊：
影响因子：
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通讯作者：
A. K. Head
中科院分区：
文献类型：
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作者：
A. K. Head
摘要本文证明了一组n个相同的线位错在相互斥力作用下，以与应力任意幂成正比的速度在滑移面上运动的相似运动。如果存在一个可能与时间相关的合适的应力场，如果存在锁定的位错，如果位错不相同，如果每个位错具有不同的迁移率，如果迁移率沿滑动面变化，以及如果存在产生图像位错的弹性边界，则也存在相似的群运动。相交滑移面上的位错群存在二维相似运动。其他实体也存在类似的运动，例如n个质点在相互引力作用下的惯性运动。
Abstract It is shown that there are similarity motions of a group of n identical linear dislocations moving in a slip plane under their mutual repulsion with a velocity proportional to an arbitrary power of the stress. Similarity motions of the group also exist if there is a suitable applied stress field which may be time dependent, if there is a locked dislocation, if the dislocations are not identical, if each dislocation has a different mobility, if the mobility varies along the slip plane, and if there is an elastic boundary producing image dislocations. Two-dimensional similarity motions exist for groups of dislocations on intersecting slip planes. Related similarity motions exist for other entities such as the inertial motion of a group of n point masses moving under their mutual gravitational attraction.