A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals

作者：Mohamed Mamdouh S^*; Larson Bennett C; Tischler Jonathan Z; El Azab Anter

来源：Journal of the Mechanics and Physics of Solids, 2015, 82: 32-47.

DOI：10.1016/j.jmps.2015.05.011

• Discrete dislocation dynamics
• Dislocation density tensor
• Lattice rotation
• 3D X-ray microscopy

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 Kroner 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.

• 出版日期2015-9