The gauge theory of dislocations: a uniformly moving screw dislocation

The gauge theory of dislocations: a uniformly moving screw dislocation
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位错规范理论:均匀移动的螺旋位错

DOI:
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发表时间:
2009
期刊:
Proceedings of the Royal Society A
影响因子:
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通讯作者:
M. Lazar
M. Lazar
中科院分区:
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文献类型:
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作者:
M. Lazar

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本文在位错平移规范理论的框架下,给出了运动螺型位错的运动方程。在规范场理论公式中,位错是一个有质量的规范场。计算了匀速运动螺型位错的规范场理论解。我们给出了亚音速和超音速的解。因此,从场论的观点来看,超音速位错是不被禁止的。我们表明,位错核心的弹性发散被删除。我们还讨论了超声速螺位错产生的马赫锥。
In this paper, we present the equations of motion of a moving screw dislocation in the framework of the translation gauge theory of dislocations. In the gauge field theoretical formulation, a dislocation is a massive gauge field. We calculate the gauge field theoretical solutions of a uniformly moving screw dislocation. We give the subsonic and supersonic solutions. Thus, supersonic dislocations are not forbidden from the field theoretical point of view. We show that the elastic divergences at the dislocation core are removed. We also discuss the Mach cones produced by supersonic screw dislocations.