Long range elastic interaction of prismatic dislocation loop with a grain boundary

1970 ◽  
Vol 20 (6) ◽  
pp. 702-710 ◽  
Author(s):  
I. Vagera
Keyword(s):  
Grain Boundary ◽  
Long Range ◽  
Dislocation Loop ◽  
Elastic Interaction ◽  
Prismatic Dislocation Loop

In situ TEM and multiscale study of dislocation loop formation in the vicinity of a grain boundary

2020 ◽  
Vol 528 ◽  
pp. 151872 ◽  
Author(s):  
Qingshan Dong ◽  
Peyman Saidi ◽  
Laurent K. Béland ◽  
Zhongwen Yao ◽  
Cong Dai ◽  
...  
Keyword(s):  
Grain Boundary ◽  
Dislocation Loop ◽  
In Situ Tem ◽  
Loop Formation

The circular prismatic dislocation loop in an interface

1979 ◽  
Vol 39 (5) ◽  
pp. 685-691 ◽  
Author(s):  
N. J. Salamon ◽  
M. Comninou
Keyword(s):  
Dislocation Loop ◽  
Prismatic Dislocation Loop

A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution

2015 ◽  
Vol 18 (5) ◽  
pp. 1282-1312 ◽  
Author(s):  
Aiyu Zhu ◽  
Congming Jin ◽  
Degang Zhao ◽  
Yang Xiang ◽  
Jingfang Huang
Keyword(s):  
Boundary Conditions ◽  
Long Range ◽  
Numerical Scheme ◽  
Fast Multipole Method ◽  
Dislocation Core ◽  
Elastic Interaction ◽  
Epitaxial Thin Films ◽  
Fast Multipole ◽  
Multipole Method ◽  
Grid Points

AbstractDislocations are line defects in crystalline materials. The Peierls-Nabarro models are hybrid models that incorporate atomic structure of dislocation core into continuum framework. In this paper, we present a numerical method for a generalized Peierls-Nabarro model for curved dislocations, based on the fast multipole method and the iterative grid redistribution. The fast multipole method enables the calculation of the long-range elastic interaction within operations that scale linearly with the total number of grid points. The iterative grid redistribution places more mesh nodes in the regions around the dislocations than in the rest of the domain, thus increases the accuracy and efficiency. This numerical scheme improves the available numerical methods in the literature in which the long-range elastic interactions are calculated directly from summations in the physical domains; and is more flexible to handle problems with general boundary conditions compared with the previous FFT based method which applies only under periodic boundary conditions. Numerical examples using this method on the core structures of dislocations in Al and Cu and in epitaxial thin films are presented.

Atomistic insights into the prismatic dislocation loop on Al (1 0 0) during nanoindentation investigated by molecular dynamics

2018 ◽  
Vol 143 ◽  
pp. 384-390 ◽  
Author(s):  
Sanshan Jiao ◽  
Wenjing Tu ◽  
Peigen Zhang ◽  
Wei Zhang ◽  
Liguang Qin ◽  
...  
Keyword(s):  
Molecular Dynamics ◽  
Dislocation Loop ◽  
Prismatic Dislocation Loop
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