The analytical modeling of normal grain growth

Pande, C. S.; Marsh, S. J.

doi:10.1007/bf03222322

Cited by 8 publications

(3 citation statements)

References 13 publications

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“…On the other hand, the microstructure during the growth phenomena consisting of stronger interactions that exist in chemisorbed systems normal grain growth and abnormal grain growth. In the usually result in a commensurate overlayer of atoms [6]. In normal growth, the microstructure exhibits a uniform inaddition to surface studies, similar superlattice structures have also been observed in intercalation compounds, where the large spacings between intercalant layers can result in quasi-two-dimensional behaviour.…”

Section: Introductionmentioning

confidence: 62%

“…crease in grain size whereas in abnormal grain growth the size of a few grains increases rapidly so that the normaSince the microstructure of materials plays an impor-lized grain size distribution is no longer time invariant tant role in physical and mechanical properties of enginee- [5,6]. ring materials, one of the major objectives of materials In other works experimental interest has focused on the science is controlling of the grain structure by grain defor-lattice structures observed for atoms that are adsorbed on mation, recovery, recrystallization, and grain growth in solid surfaces.…”

Section: Introductionmentioning

confidence: 99%

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Monte Carlo simulation of circular grain growth

Morón¹,

Maganto²,

Tremps³

et al. 2011

Phys. Status Solidi C

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Monte Carlo simulations have been carried out to study the effect of temperature on the growth kinetics of a circular grain. This work demonstrates the importance of roughening fluctuations on the growth dynamics. Since the effect of thermal fluctuations is stronger in d=2 than in d=3, as predicted by d=3 theories of domain kinetics, the circular domain shrinks linearly with time as A(t)=A(0)-αt, where A(0) and A(t) are the initial and instantaneous areas, respectively. However, in contrast to d=3, the slope α is strongly temperature dependent for T≥0.6T C . An ana lytical theory which considers the thermal fluctuations agrees with the T dependence of the Monte Carlo data in this regime, and this model show that these fluctua tions are responsible for the strong temperature de pendence of the growth rate for d =2. Our results are particularly relevant to the problem of domain growth in surface science.

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Section: Introductionmentioning

confidence: 62%

Section: Introductionmentioning

confidence: 99%

Monte Carlo simulation of circular grain growth

Morón¹,

Maganto²,

Tremps³

et al. 2011

Phys. Status Solidi C

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“…Under the effects of welding thermal cycle, atoms have enough mobility that make atoms move from deviation equilibrium position to equilibrium position, so that the internal stress and distortion energy will be relaxation gradually which result in recovery and recrystallization. At heat affected zone and near the weld junction, grain coarsening is serious and dislocation density decreases leading to a decline in hardness and strength [2][3][4][5][6].…”

Section: Failure Analysismentioning

confidence: 99%

Failure Analysis of Welding Joints of CQ Steel

Huang

Wang

2011

AMR

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In order to implement continuous roll of steel plates, steel plates need to be jointed simply and reliably. CQ steel plates have advantages such as low impurity, composition uniformity, excellent surface quality and good mechanical properties. However, there always has fracture failure of the online welded joint for continuous cool-roll CQ plates. For solving this question, theoretical calculation of weldability, fracture morphology and metallurgical structure were analyzed. The results show that CQ steel plates have good weldability according to the chemical composition, and the microstructure of welding seam are mainly ferrite and a small amount of lath martensite.While grain growth in HAZ is serious, with average grain size 15μm. A lot of impurities and gas cavities in welding seam are the main source of cracks. In addition, stress concentration caused by coarse grain zone in HAZ is one of the reasons for causing cracks. The microhardness was test and the results show that the hardness decrease from weld center to the base metal and there is a minimal value where is softened zone.

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3D-Characterization of Sintered Microstructures with Prismatic Grains - A Precondition for Microstructural Modelling of Si3N4 Ceramics

Mücklich

Ohser

Hartmann

et al. 1994

Tailoring of Mechanical Properties of Si3N4 Ceramics

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ABSTRACT. A precondition for the modelling of microstructures with nonspheroidal grains is the adequate description of grain size as well as grain shape parameters. Firstly, a characterization technique for the quantification of spatial parameters of prismatic grains in a microstructure is presented. This new method is discussed to recover stereoscopic grain parameters from metallographic micrographs. It transforms the histogram of size and shape of grain sections measured in the micrograph into the histogram of spatial size and shape of the grains. The algorithm has been applied to regular hexagonal prisms with random size and shape. Si 3 N 4 microstructures with columnar crystallites are an important application of this technique. Because the errors of such microstructural characterization essentially depend on the limits of discretization as well as on the detection errors for the frequencies of different types of planar sections, image analysis procedures have also been optimized carefully. Secondly, a simplified model is used to simulate the microstructural development in some typical cases of liquid phase sintered Si3N4 samples. Lognormal distributions have been fitted to the size distributions of each class of aspect ratios. The first momenta of these distributions of more than 30000 grains have been used to verify a simple grain growth model. IntroductionVarious methods of microstructural modelling are being developed for a quantitative understanding of the development of materials microstructures during the different processes of grain formation and grain growth. Anderson [86And] gives a systematic overview of these methods. He divided this modelling into two categories: One way considers the individual relationships between crystallites. Movement of grain boundaries are simulated by Monte-Carlo-ealculations or by deterministic equations. The other way uses statistical methods to treat the variations in the whole grain population. The individual crystallite is considered not in its local environment but in a mean environment averaged over the whole grain population. In this latter case the 73 M.

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The analytical modeling of normal grain growth

Cited by 8 publications

References 13 publications

Monte Carlo simulation of circular grain growth

Monte Carlo simulation of circular grain growth

Failure Analysis of Welding Joints of CQ Steel

3D-Characterization of Sintered Microstructures with Prismatic Grains - A Precondition for Microstructural Modelling of Si3N4 Ceramics

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