Influence of Lattice Anisotropy on Models Formulated by Cellular Automata in Presence of Grain Boundary Movement: A Case Study

2005 ◽  
Vol 482 ◽  
pp. 195-198 ◽  
Author(s):  
Jiří Kroc

This paper continues in the previous research focussed to two simple questions. The first one reads: ”What is the influence of anisotropy of computational lattice on simulations of boundary movement?” where grain boundary movement typically appears in simulations of grain boundary migration and static/dynamic recrystallization. The second question reads: ”How is the computational anisotropy related to natural anisotropy of the material lattice itself?” This study is focussed on the influence of change of the computational algorithm and/or lattice on the grain boundary movement. Two algorithms, the majority rule and the simple modification of the Monte Carlo method for two different lattices – namely square and hexagonal one – are used.

2004 ◽  
Vol 467-470 ◽  
pp. 1069-1074 ◽  
Author(s):  
Jiří Kroc

This paper try to elucidate some aspects of the impact of using two different types of computational lattices on the solution of simple models like, for example, grain boundary migration and/or dynamic recrystallization.Not surprisingly, the final solution is obviously affected by anisotropy of used lattices but as we know, they are computational lattices.Ho wever, a material itself has its own anisotropy of its lattice probably different from those lattices used in model.Therefore, the main task in nowadays simulations is to get rid of the influence of computational lattice and to achieve the properties of the lattice of the simulated material.


Anales AFA ◽  
2020 ◽  
Vol 31 (1) ◽  
pp. 7-12
Author(s):  
C. L. Di Prinzio ◽  
P. I. Achával ◽  
D. Stoler ◽  
G. Aguirre Varela

This paper presents the evolution of a flat grain boundary in a thin sample, using a numerical algorithm based on the Monte Carlo method. The grain boundary is driven by an external force and the effect of the free surface is studied.The grain boundary migration on the free surface is spasmodic, which means that it has alternating periods of movement and stagnation. Stagnation periods are inversely proportional to the thickness of the sample. The results obtained computationally fitted acceptable with the theoretical results obtained by different authors.


Author(s):  
D. B. Williams ◽  
A. D. Romig

The segregation of solute or imparity elements to grain boundaries can occur by three well-defined processes. The first is Gibbsian segregation in which an element of minimal matrix solubility confines itself to a monolayer at the grain boundary. Classical examples include Bi in Cu and S or P in Fe. The second process involves the depletion of excess matrix solute by volume diffusion to the boundary. In the boundary, the solute atoms diffuse rapidly to precipitates, causing them to grow by the ‘collector-plate mechanism.’ Such grain boundary diffusion is thought to initiate “Diffusion-Induced Grain Boundary Migration,” (DIGM). This process has been proposed as the origin of eutectoid transformations or discontinuous grain boundary reactions. The third segregation process is non-equilibrium segregation which result in a solute build-up around the boundary because of solute-vacancy interactions.All of these segregation phenomena usually occur on a sub-micron scale and are often affected by the nature of the grain boundary (misorientation, defect structure, boundary plane).


Author(s):  
K. Vasudevan ◽  
H. P. Kao ◽  
C. R. Brooks ◽  
E. E. Stansbury

The Ni4Mo alloy has a short-range ordered fee structure (α) above 868°C, but transforms below this temperature to an ordered bet structure (β) by rearrangement of atoms on the fee lattice. The disordered α, retained by rapid cooling, can be ordered by appropriate aging below 868°C. Initially, very fine β domains in six different but crystallographically related variants form and grow in size on further aging. However, in the temperature range 600-775°C, a coarsening reaction begins at the former α grain boundaries and the alloy also coarsens by this mechanism. The purpose of this paper is to report on TEM observations showing the characteristics of this grain boundary reaction.


Anales AFA ◽  
2019 ◽  
Vol 30 (3) ◽  
pp. 47-51
Author(s):  
P.I. Achával ◽  
C. L. Di Prinzio

In this paper the migration of a grain triple junction in apure ice sample with bubbles at -5°C was studied for almost 3hs. This allowed tracking the progress of the Grain Boundary (BG) and its interaction with the bubbles. The evolution of the grain triple junction was recorded from successive photographs obtained witha LEICA® optical microscope. Simultaneously, numerical simulations were carried out using Monte Carlo to obtain some physical parameters characteristic of the BG migration on ice.


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