Computational issues in the simulation of two-dimensional discrete dislocation mechanics

2007 ◽  
Vol 15 (4) ◽  
pp. S361-S375 ◽  
Author(s):  
J Segurado ◽  
J LLorca ◽  
I Romero
2004 ◽  
Vol 52 (4) ◽  
pp. 755-787 ◽  
Author(s):  
L.E. Shilkrot ◽  
Ronald E. Miller ◽  
William A. Curtin

2012 ◽  
Vol 111 (10) ◽  
pp. 103522 ◽  
Author(s):  
Kamyar M. Davoudi ◽  
Lucia Nicola ◽  
Joost J. Vlassak

Metals ◽  
2019 ◽  
Vol 9 (4) ◽  
pp. 478
Author(s):  
Yinan Cui ◽  
Nasr Ghoniem

Three-dimensional (3D) discrete dislocation dynamics simulations are used to analyze the size effect on the fractal dimension of two-dimensional (2D) and 3D dislocation microstructure. 2D dislocation structures are analyzed first, and the calculated fractal dimension ( n 2 ) is found to be consistent with experimental results gleaned from transmission electron microscopy images. The value of n 2 is found to be close to unity for sizes smaller than 300 nm, and increases to a saturation value of ≈1.8 for sizes above approximately 10 microns. It is discovered that reducing the sample size leads to a decrease in the fractal dimension because of the decrease in the likelihood of forming strong tangles at small scales. Dislocation ensembles are found to exist in a more isolated way at the nano- and micro-scales. Fractal analysis is carried out on 3D dislocation structures and the 3D fractal dimension ( n 3 ) is determined. The analysis here shows that ( n 3 ) is significantly smaller than ( n 2 + 1 ) of 2D projected dislocations in all considered sizes.


1999 ◽  
Vol 578 ◽  
Author(s):  
A. Roos ◽  
E. Metselaar ◽  
J.Th.M. De Hosson ◽  
E. van der Giessen

AbstractThis paper concentrates on application of the so-called Discrete Dislocation Plasticity to high strain rate deformations. In particular the question is addressed if the DDP approach may capture the specific processes taking place at high strain rates. In particular the paper reports on tests of the validity of some approximations and provides some sample runs to show the applicability of the method. In assessing the results, one has to keep in mind two underpinning aspects: (1) the model is two-dimensional and (2) the results hold only in the regime where linear isotropic elasticity is valid. It was concluded that accelerations can not be neglected at very high strain rate deformations, both for the conventional and the relativistic case.


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