scholarly journals Study on the relation among grain edge length, grain size and topology with Monte Carlo simulation

2009 ◽  
Vol 58 (13) ◽  
pp. 132
Author(s):  
Wang Hao ◽  
Liu Guo-Quan ◽  
Luan Jun-Hua ◽  
Yue Jing-Chao ◽  
Qin Xiang-Ge
Keyword(s):  
Monte Carlo Simulation ◽  
Grain Size ◽  
Monte Carlo ◽  
Edge Length ◽  
And Topology

Monte Carlo Simulation of Seebeck Coefficient and Electrical Conductivity in Thermoelectrics

2013 ◽  
Vol 709 ◽  
pp. 176-179 ◽  
Author(s):  
Jian Li
Keyword(s):  
Electrical Conductivity ◽  
Monte Carlo Simulation ◽  
Grain Size ◽  
Monte Carlo ◽  
Seebeck Coefficient ◽  
Ground State ◽  
Proposed Model ◽  
Average Grain Size ◽  
Polycrystalline Ceramics ◽  
Simulation Results

we proposed a scheme for simulating the electronic and thermoelectric properties of polycrystalline ceramics. The simulation results show that the ground state electrons are easily confined in the largest grain. In addition, with the increasing average grain size, the Seebeck coefficient decreases while the electrical conductivity increases monotonically. The simulation results agree well with the available experimental results. Therefore, the proposed model is proved to be a promising approach for thermoelectric investigations.

Effect of the Intercalation of the Carbon Layer on the Kinetics of Grain Growth of FePt Magnetic Thin Film during Ordering Reaction - A Monte Carlo Simulation Study

2007 ◽  
Vol 558-559 ◽  
pp. 1237-1242
Author(s):  
M.C. Kim ◽  
D.A. Kim ◽  
Joong Kuen Park
Keyword(s):  
Thin Film ◽  
Monte Carlo Simulation ◽  
Grain Size ◽  
Monte Carlo ◽  
Grain Growth ◽  
Carbon Layer ◽  
Carbon Addition ◽  
Monte Carlo Simulation Study ◽  
Ordering Kinetics ◽  
Kinetics Of

The effect of carbon addition on the grain growth and ordering kinetics of FePt film has been experimentally studied by sputter-depositing a monolithic FePt-20at.%C film of 24 nm. Carbon addition of 20at.% to FePt thin film in a form of FePt (20 nm)/Cn (4 nm) (n = 1, 4) significantly reduced both the grain growth and ordering kinetics. Reducing the thickness of carbon layer, i.e. from n = 1 to n = 4, led to a much finer grain size distribution as well as to a finer grain size. The Monte Carlo simulation study indicated that the decrease of grain growth and ordering kinetics is primarily due to a continuous decrease of the mobility of order – disorder inter-phase with the progress of ordering reaction. This can eventually lead to a stable 2-phase grain structure inter-locked by low mobility inter-phases and is responsible for the formation of a fine grain size distribution in the FePt/Cn film with n = 4.

Analysis of Ultrasonic Machining Using Monte Carlo Simulation

2011 ◽  
Author(s):  
Chittaranjan Sahay ◽  
Suhash Ghosh ◽  
Hari Kiran Kammila
Keyword(s):  
Monte Carlo Simulation ◽  
Grain Size ◽  
Monte Carlo ◽  
Removal Rate ◽  
Abrasive Particle ◽  
Negative Relationship ◽  
Machining Process ◽  
Analysis Tool ◽  
Ultrasonic Machining ◽  
Strong Positive Relationship

Proper selection of manufacturing conditions is one of the most important aspects in Ultrasonic Machining process, as these conditions determine the Material Removal Rate (MRR). In this work, two very popular mathematical models proposed by Miller and Shaw have been investigated using Monte Carlo simulation based Crystal Ball analysis tool. Effects of abrasive particle size, particle concentration, amplitude of tool vibration, tool radius and depth of hole on MRR have been analyzed for both models. Miller’s model indicates a strong positive relationship between abrasive grain size, concentration and MRR. Contrary to the literature search on experimental data, Shaw’s mathematical model indicates a negative relationship between MRR and grain size, and a very weak relationship between MRR and concentration. No definite relationship could be established between either tool radius and MRR or amplitude and MRR. A negative relationship between depth of hole and MRR was obtained for Shaw’s model.

A Study of the Microstructure and Grain Size at the Welding Heat Affected Zone of a Ferrite Stainless Steel

2008 ◽  
Vol 575-578 ◽  
pp. 627-632 ◽  
Author(s):  
Shi Xing Zhang ◽  
Shao Kang Guan ◽  
Xin Tian Liu ◽  
Chun Li Mo
Keyword(s):  
Experimental Data ◽  
Monte Carlo Simulation ◽  
Grain Size ◽  
Stainless Steel ◽  
Monte Carlo ◽  
Kinetic Equation ◽  
Heat Affected Zone ◽  
Real Experiment ◽  
Simulation Procedure ◽  
Monte Carlo Simulation Result

A method of Monte Carlo combined with welding experiments was adopted to study the grain size and microstructure in welding heat affected zone of the ferrite stainless steel. Firstly, the kinetic equation of grain growth was established with the experimental data . Then , a simulation procedure based on the kinetic equation was worked out. Agreement between Monte Carlo simulation result and the real experiment results was obtained.

Generating 2D Non-Equiaxed Initial Microstructure for Monte Carlo Simulation Using Modified Voronoi Model

2013 ◽  
Vol 749 ◽  
pp. 540-544
Author(s):  
Yun Teng Liu ◽  
Ji Xue Zhou ◽  
Chang Wen Tian ◽  
Cheng Wei Zhan ◽  
Wei Hong Li ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Grain Size ◽  
Monte Carlo ◽  
Size Distribution ◽  
Lognormal Distribution ◽  
Grain Shape ◽  
Annealing Process ◽  
Initial Microstructure ◽  
The Mean ◽  
Mean Strain

A modified Voronoi model is established based on the Richards method to generate 2D non-equiaxed initial microstructure for Monte Carlo simulation. Microstructures produced by the ordinary Voronoi model are isotropic and cannot reflect the effects of the deformed grain shape on the annealing process. The modified Voronoi model based on ellipse set can be used to construct the deformed microstructure. The initial microstructure reflects the mean strain and the grain size distribution follows lognormal distribution.

Monte Carlo Simulation of Grain Growth at Heat Affected Zone (HAZ) of Weldment

1999 ◽  
Author(s):  
S. Jahanian ◽  
Wen Lei
Keyword(s):  
Experimental Data ◽  
Monte Carlo Simulation ◽  
Grain Size ◽  
Monte Carlo ◽  
Grain Growth ◽  
Fusion Zone ◽  
Heat Affected Zone ◽  
Bulk Heating ◽  
Average Grain Size ◽  
Grain Distribution

Abstract Average grain size and grain size distribution at HAZ is the dominant microstructural features of weldment. Such features may govern many properties of the weldment, such as strength, ductility, toughness, corrosion resistance and so forth. Accordingly, prediction of the final grain size and grain distribution is crucial to a welding engineer. The nature of grain growth in the weldment is known to be stochastic. Hence, using a deterministic method for predicting the final grain size of weldment should be reconsidered. In this paper Monte Carlo simulation of grain growth at Heat Affected Zone (HAZ) of a 0.5 Mo-Cr-V steel is presented. The technique used for this simulation is discussed. We also use a methodology to obtain a one-to-one correlation between Monte Carlo (MC) and real parameters of grain size and time. The results are compared with the experimental results and a reasonable agreement is observed. To carry out the simulation, we generate a random 200*200 matrix. Each element of this matrix represents a grain site with a unique grain orientation at the beginning of the simulation. We run the simulation for both bulk heating situation and HAZ zone to decide the thermal pinning effect. In the case of HAZ. zone, the center of this matrix represents the fusion zone of the HAZ. Periodic boundary conditions are used so that the grains wrapping around are at the same temperature. To make a comparison, we look at a HAZ location about 120 microns from the fusion zone and compare it with the grain size obtained in an actual weld HAZ at an identical location. The simulation result shows a near match with the experimental data for bulk heating. The grain structure of the simulation result in the weld HAZ also has a reasonable accuracy. It can be concluded that the MC technique could effectively capture the thermal pinning existing in the weld HAZ. The difference between the simulation result and the experimental data suggest the effect of thermal pinning is higher than the effect based on the thermal gradient alone.

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