Effect of grain boundary energy anisotropy in 2D and 3D grain growth process

The selective abnormal grain growth (AGG) of Goss grains in Fe-3%Si steel was investigated using a parallel Monte-Carlo (MC) simulation based on the new concept of sub-boundary enhanced solid-state wetting. Goss grains with low angle sub-boundaries will induce solid-state wetting against matrix grains with a moderate variation in grain boundary energy. Three-dimensional MC simulations of microstructure evolution with textures and grain boundary distributions matched to experimental data is using in this study.

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The Effect of Variability Among Grain Boundary Energies on Grain Growth in Thin Film Strips

MRS Proceedings ◽

10.1557/proc-338-295 ◽

1994 ◽

Vol 338 ◽

Cited By ~ 7

Author(s):

H.J. Frost ◽

Y. Hayashi ◽

C.V. Thompson ◽

D.T. Walton

Keyword(s):

Thin Film ◽

Grain Boundary ◽

Grain Growth ◽

Boundary Energy ◽

Strip Width ◽

Grain Boundary Energy ◽

Triple Junctions ◽

Interconnect Reliability ◽

Bamboo Structure ◽

Grain Boundary Pinning

ABSTRACTGrain growth in thin-film strips is important to interconnect reliability because grain boundary structures strongly effect the rate and mechanism of electromigration-induced failure. Previous simulations of this process have indicated that the transformation to the fully bamboo structure proceeds at a rate which decreases exponentially with time, and which is inversely proportional to the square of the strip width. We have also reported that grain boundary pinning due to surface grooving implies that there exists a maximum strip width to thickness ratio beyond which the transformation to the bamboo structure does not proceed to completion. In this work we have extended our simulation of grain growth in thin films and thin film strips to consider the effects of variations in grain boundary energy. Boundary energy is taken to depend on the misorientation between the two neighboring grain and the resulting variations in grain boundary energy mean that dihedral angles at triple junctions deviate from 120°. The proportionality between boundary velocities and local curvatures, and the critical curvature for boundary pinning due to surface grooving also both depend on boundary energy. In the case of thin-film strips, the effect of boundary energy variability is to impede the transformation to the bamboo structure, and reduce the width above which the complete bamboo structure is never reached. Those boundaries which do remain upon stagnation tend to be of low energy (low misorientation angle) and are therefore probably of low diffusivity, so that their impact on reliability is probably reduced.

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Phase Field Model of Grain Growth Using Quaternions

Materials Science Forum ◽

10.4028/www.scientific.net/msf.715-716.776 ◽

2012 ◽

Vol 715-716 ◽

pp. 776-781

Author(s):

Santidan Biswas ◽

Indradev Samajdar ◽

Arunansu Haldar ◽

Anirban Sain

Keyword(s):

Grain Boundary ◽

Grain Growth ◽

Phase Field ◽

Boundary Energy ◽

Scaling Law ◽

Phase Field Model ◽

Polycrystalline Sample ◽

Mechanical Processing ◽

Grain Boundary Energy ◽

Grain Orientations

The microstructure of a material determines its mechanical properties. Since microstructure can be tailored by thermo-mechanical processing of the metal, it is important to understand how the microstructure evolves under thermo-mechanical processing. We have constructed a phase field formalism to study recrystallization and grain growth in polycrystalline material. A unique feature of our model is that the Euler Angles (φ1,φ,φ2), obtained from Electron Back Scattered Diffraction (EBSD) data of a polycrystalline sample can be taken as an input to our model. In our model, the grain orientations at discrete grid points are represented by a non-conserved vector field, namely a quaternion. The free energy used for the evolution of the local orientations contains bulk energy for various preferred grain types and grain boundary energy. The grain orientations evolve in time following a Langevin dynamics. So far we have established that the rate of grain growth follows the usual L ~ t1/2scaling law when the grain boundary energy is independent of the misorientation angle between neighboring grains. Work on other aspects of this model is in progress.

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Modeling of grain growth kinetics with Read–Shockley grain boundary energy by a modified Monte Carlo algorithm

Materials Letters ◽

10.1016/s0167-577x(02)00415-9 ◽

2002 ◽

Vol 56 (1-2) ◽

pp. 47-52 ◽

Cited By ~ 18

Author(s):

Qiang Yu ◽

Sven K. Esche

Keyword(s):

Monte Carlo ◽

Grain Boundary ◽

Grain Growth ◽

Growth Kinetics ◽

Boundary Energy ◽

Monte Carlo Algorithm ◽

Grain Boundary Energy ◽

Grain Growth Kinetics

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The Influence of Anisotropic Grain Boundary Energy on Triple Junction Morphology and Grain Growth

MRS Proceedings ◽

10.1557/proc-529-9 ◽

1998 ◽

Vol 529 ◽

Author(s):

Alexander H. King

Keyword(s):

Grain Boundary ◽

Triple Junction ◽

Driving Force ◽

Boundary Migration ◽

Boundary Energy ◽

Dihedral Angles ◽

Grain Boundary Migration ◽

Grain Boundary Energy ◽

Boundary Curvature ◽

Energy Anisotropy

AbstractWe consider some examples of triple junction equilibration in the presence of grain boundary energy anisotropy. It is shown that the presence of one or two cusp-trapped grain boundaries can reduce the restrictions upon the dihedral angles formed with the remaining (isotropic) boundaries This allows for a reduction in the average grain boundary curvature, and thus in the driving force for grain boundary migration.

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