A Method for Determining the Structure of Dislocation Cores Based on Tensor Decomposition and Common Neighbors

Abstract

The invention discloses a method for determining a dislocation core structure based on tensor decomposition and common neighbors, and belongs to the technical field of dislocation analysis. The present invention utilizes the Nye tensor decomposition to determine the dislocation region with the assistance of the common nearest neighbor analysis method, and calculates a dislocation structure analysis method for the dislocation line and Burgers vector orientation through the singular value decomposition of the Nye tensor, The analysis and visualization of interface dislocation configurations, dislocation lines and Burgers vector orientations, and dislocation nuclei are thus realized. The present invention can display dislocation structures, dislocation lines and orientations of Burgers vectors more accurately; obtain correct dislocation analysis results by adjusting the maximum matching angle and the reference structure; The plastic behavior and dislocation nucleation mechanism of composite materials play an irreplaceable role.

Description

technical field [0001] The invention belongs to the technical field of dislocation analysis, and specifically relates to a method for determining dislocation core structures based on tensor decomposition and common neighbors. By using the calculation of Nye tensor and the singular value decomposition of Nye tensor, and with the aid of Common Neighbor Analysis (CNA) method to determine the dislocation area as well as the dislocation line and the corresponding Burgers vector; simultaneous orientation and projection for visualization analyze. Background technique [0002] Interfaces are plane defects in crystals, which have an extremely important impact on the properties and transformations of crystalline materials. For dislocations, on the one hand, the interface can hinder the movement of slip dislocations, and can also decompose and absorb dislocations; on the other hand, the interface can also act as the source of defects such as dislocations, thereby causing interface str...

AI Technical Summary

Problems solved by technology

However, in the process of application, it is found that there are many problems in this method. For example, in the process of Nye tensor calculation, each coordination atom needs to be mapped, and the mapping method will have a decisive impact on the result.

Unreasonable mapping can lead to wrong conclusions, while previous methods did not reasonably address the mapping process

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