Dynamic scaling in a simple one-dimensional model of dislocation activity
Dynamic scaling in a simple one-dimensional model of dislocation activity
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位错活动的简单一维模型中的动态缩放
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
M. Mills
中科院分区：
文献类型：
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作者：
J. Deslippe;R. Tedstrom;Murray S. Daw *;D. Chrzan;T. Neeraj ¶;M. Mills
我们研究一个简单的一维（1D）模型的位错活动，包括应力激活源和相互作用的位错。我们证明，通过数值计算和分析步骤，从一个一维应力激活源发出的位错演化的分布，这是自相似的时间，我们推导出幂律形式和分布函数。我们表明，渐近分布是一个阶梯函数，和位错前线性移出的时间。位错间距的渐近分布是均匀的，并随着时间的推移而增加。位错数随t/ln（t）的增加而增加，应变随t2/ln（t）的增加而增加。
We examine a simple one-dimensional (1D) model of dislocation activity, including a stress-activated source and mutually interacting dislocations. We demonstrate, through numerical and analytical steps, that the dislocations emitted from a 1D stress-activated source evolve towards a distribution which is self-similar in time, and we derive the power-law forms and distribution function. We show that the asymptotic distribution is a step function, and the dislocation front moves out linearly in time. The spacing between dislocations in the asymptotic distribution is uniform and increases logarithmically in time. The number of dislocations increases as t/ln(t), and the strain increases as t 2/ln(t).