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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals
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A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals

机译：变形晶体弹性变形和位错密度场的统计分析

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The statistical properties of the elastic distortion fields of dislocations in deforming crystals are investigated using the method of discrete dislocation dynamics to simulate dislocation structures and dislocation density evolution under tensile loading. Probability distribution functions (PDF) and pair correlation functions (PCF) of the simulated internal elastic strains and lattice rotations are generated for tensile strain levels up to 0.85%. The PDFs of simulated lattice rotation are compared with sub-micrometer resolution three-dimensional X-ray microscopy measurements of rotation magnitudes and deformation length scales in 1.0% and 2.3% compression strained Cu single crystals to explore the linkage between experiment and the theoretical analysis. The statistical properties of the deformation simulations are analyzed through determinations of the Nye and Kroener dislocation density tensors. The significance of the magnitudes and the length scales of the elastic strain and the rotation parts of dislocation density tensors are demonstrated, and their relevance to understanding the fundamental aspects of deformation is discussed.
机译：利用离散位错动力学方法，通过模拟位错结构和拉伸载荷下位错密度的变化，研究了变形晶体中位错的弹性畸变场的统计性质。对于高达0.85％的拉伸应变水平，将生成模拟内部弹性应变和晶格旋转的概率分布函数（PDF）和对相关函数（PCF）。将模拟晶格旋转的PDF与亚微米分辨率的三维X射线显微镜测量值相比较，测量了1.0％和2.3％压缩应变Cu单晶的旋转幅度和变形长度尺度，以探索实验与理论分析之间的联系。通过确定Nye和Kroener位错密度张量来分析变形模拟的统计特性。阐述了弹性应变的大小和长度尺度以及位错密度张量的旋转部分的意义，并讨论了它们与理解变形的基本方面的相关性。

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