Scaling theory of continuum dislocation dynamics in three dimensions: Self-organized fractal pattern formation
Scaling theory of continuum dislocation dynamics in three dimensions: Self-organized fractal pattern formation
复制标题
三维连续体位错动力学的标度理论：自组织分形图案的形成
DOI：
10.1016/j.ijplas.2013.02.011
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发表时间：
2011
影响因子：
9.8
通讯作者：
J. Sethna
中科院分区：
文献类型：
--
作者：
Yong Chen;Woosong Choi;S. Papanikolaou;Matthew Bierbaum;J. Sethna
我们专注于介观位错图案通过连续位错动力学理论（CDD）在三维（3D）。我们研究了三种不同的物理动机的动力学，这始终导致分形形成在3D中具有相当相似的形态，因此，我们认为这是一个一般特征的几何必要位错（GND）合奏的3D集体行为。引人注目的自相似特征是根据物理可观测量的相关函数来测量的，例如GND密度、塑性变形和晶体取向。值得注意的是，所有这些相关函数表现出空间幂律行为，共享一个潜在的普遍的临界指数为每种类型的动态。
We focus on mesoscopic dislocation patterning via a continuum dislocation dynamics theory (CDD) in three dimensions (3D). We study three distinct physically motivated dynamics which consistently lead to fractal formation in 3D with rather similar morphologies, and therefore we suggest that this is a general feature of the 3D collective behavior of geometrically necessary dislocation (GND) ensembles. The striking self-similar features are measured in terms of correlation functions of physical observables, such as the GND density, the plastic distortion, and the crystalline orientation. Remarkably, all these correlation functions exhibit spatial power-law behaviors, sharing a single underlying universal critical exponent for each type of dynamics.
影响因子：
2.6
作者：
M. Lazar
通讯作者：
M. Lazar