Scaling Cellular Automaton Simulations of Short-Range Diffusion Processes

By applying the cellular automaton method the short-range diffusion processes in metals can be efficiently simulated. Several examples for the two-and three dimensional modeling of recrystallization and grain-coarsening are know at the literature. In some previous works, results have been performed concerning the two-dimensional, stochastic automatons of grain-coarsening, recrystallization and allotropic transformation. In order to use these simulations also in technological processes, it is necessary to scale the results reached by the simulation. The primary aspect of adapting the automaton in technological processes is the quick-operating simulation. The aim is to develop a most simplified, scalable cellular automaton by which scaling can be efficiently performed.

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Simulation of Phase Transformations Driven by Short Range Diffusion by Cellular Automaton

Materials Science Forum ◽

10.4028/www.scientific.net/msf.659.405 ◽

2010 ◽

Vol 659 ◽

pp. 405-410 ◽

Cited By ~ 1

Author(s):

Szilvia Gyöngyösi ◽

Anita Tóth ◽

Péter Barkóczy

Keyword(s):

Phase Transformation ◽

Cellular Automata ◽

Cellular Automaton ◽

Phase Transformations ◽

Short Range ◽

Energy State ◽

Allotropic Transformation ◽

Phase Boundaries ◽

Grain Coarsening ◽

Transformation Processes

The same property of the phase transformations driven by short range diffusion (recrystallization, allotropic transformation, grain coarsening) is that the movements of the grain or the phase boundaries take place by atomic jumps through the boundaries. The probability (frequency) of these jumps depends on only on the energy state of the closenear neighborhood of the atoms. In the operation of cellular automata Consequently, only the closenear neighborhood of the cells is taken into account in the operation of the cellular automaton. This similarity makes applicable the cellular automaton applicable to simulate the aforementioned phase transformation processes. A condition (rule) of the movement of grain and phase boundaries is introduced, which makes it possible to simulate all the all mentioned phase transformation by the same automatona.

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Simulation of Grain Coarsening Using One-Dimensional Cellular Automaton

Materials Science Forum ◽

10.4028/www.scientific.net/msf.752.217 ◽

2013 ◽

Vol 752 ◽

pp. 217-222 ◽

Cited By ~ 2

Author(s):

Szilvia Gyöngyösi ◽

Peter Barkoczy

Keyword(s):

Cellular Automaton ◽

Short Range ◽

Three Dimensional ◽

Recrystallization Process ◽

Grain Coarsening ◽

One Dimensional ◽

Measurement Results ◽

Dimension 2 ◽

Dimensional Simulation ◽

Effective Use

Numerous literature [1,4,5] has reported on the effective use of cellular automaton method for the simulation of short-range diffusion. Using this model for the simulation of short-range diffusional phase transformations therefore is a resolved issue. It is proven that two- or three-dimensional automata can reflect the course of the abovementioned processes realistically. What our study demonstrates more than in the past [1] is that two-dimensional stochastic cellular automaton simulation already presented before has been simplified. This time our automaton operates in one dimension [2], which has consequently reduced running time, thus, made it possible to enhance the efficiency of the scaling of simulation. In our previous work the results of scaling of one-dimensional simulation of the recrystallization process [3] were demonstrated, in our current study fitting is performed for measurement results of grain coarsening using one-dimensional cellular automaton.

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