On the problem of grain boundary movement

Dunn, C. G.; Daniels, F. W.; Bolton, M. J.

doi:10.1007/bf03398925

Cited by 6 publications

(12 citation statements)

References 4 publications

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“…Coupled surface and grain boundary motion is an important phenomenon controlling the grain growth in materials processing and synthesis. A commonly used model to study this coupled effect is called "quarter loop" geometry introduced by Dunn et al [6].…”

Section: Introductionmentioning

confidence: 99%

A numerical method for coupled surface and grain boundary motion

Pan¹,

Wetton²

2008

Eur. J. Appl. Math

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Link to this article: http://journals.cambridge.org/abstract_S0956792508007390 How to cite this article: ZHENGUO PAN and BRIAN WETTON (2008). A numerical method for coupled surface and grain boundary motion.We study the coupled surface and grain boundary motion in a bi-crystal in the context of the 'quarter loop' geometry. Two types of normal curve velocities are involved in this model: motion by mean curvature and motion by surface diffusion. Three curves meet at points where junction conditions are given. A formulation that describes the coupled normal motion of the curves and preserves arc length parametrisation up to scaling is proposed. The formulation is shown to be well-posed in a simple, linear setting. Equations and junction conditions are approximated by finite difference methods. Numerical convergence to exact travelling wave solutions is shown. The method is applied to other problems of physical interest.

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Section: Introductionmentioning

confidence: 99%

A numerical method for coupled surface and grain boundary motion

Pan¹,

Wetton²

2008

Eur. J. Appl. Math

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“…1(b)) [9] allows obtaining relatively large driving forces, although only in the beginning of the experiment. The driving force for this method is given by p = γ/r = (γ/a)f(α), where r is the radius of boundary curvature.…”

Section: Introductionmentioning

confidence: 98%

“…Most early measurements of grain boundary migration in bicrystals [11] were performed by the discontinuous method, where the position of a boundary was determined by its intersection with the crystal surface, and its change was recorded after annealing for discrete time intervals. The disadvantage of this method is that only an average Bicrystal geometries for the boundary motion with a controlled curvature driving force: (a) the "wedge" technique with increasing driving force [8]; (b) the reversed-capillary technique with decreasing driving force [9]; (c) the quarter-loop and (d) half-loop techniques with a constant driving force [10] migration rate can be obtained from measuring the boundary location prior and subsequent to annealing. Moreover, the location of a boundary is revealed by a groove, which is formed during sample cooling (thermal "etching") or by chemical etching of the crystal surface.…”

Section: Introductionmentioning

confidence: 99%

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Migration of specific planar grain boundaries in bicrystals: application of magnetic fields and mechanical stresses

Molodov

Gorkaya

Günster

et al. 2010

Front. Mater. Sci. China

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Recent research on the dynamics of planar grain boundaries is reviewed. Novel measuring techniques developed for in situ observation and recording of magnetically and stress driven grain boundary migration are presented. The results of migration measurements obtained on bismuth, zinc and aluminum bicrystals are addressed. The experiments revealed that the inclination of a 〈112〉 tilt boundary in Bi has a very strong influence on its mobility. The migration of planar h1010i tilt grain boundaries with different misorientation angles was measured in situ in bicrystals of high purity zinc. The results proved that there is a pronounced misorientation dependence of grain boundary mobility in the investigated angular range. The shear stress induced migration of planar symmetric 〈100〉 tilt boundaries in aluminum bicrystals was observed to be accompanied by a lateral translation of the adjacent grains. The coupling between boundary motion and shearing is not confined to low angle and some low Σ high angle boundaries, but occurs also for noncoincidence high angle 〈100〉 tilt boundaries. It has been found that also for stress induced grain boundary motion there is a misorientation dependence of the migration activation parameters. Lower values of the activation enthalpy and the pre-exponential mobility factor can be associated with boundaries with tilt angles close to low Σ CSL orientation relationships.

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“…[8,9,10] A second model is based on the assumption that the HEGBs in Fe-3 pct Si steels have high mobilities. [11][12][13][14] It is noted that HEGBs are boundaries with misorientation between 20 and 45 deg, [15] have more structural defects, and therefore are linked to a high mobility and high grain boundary diffusion rate. [16] On the other hand, orientation pinning [17,18,19] has been used to explain the dominance of grains with a preferred orientation relationship.…”

Section: Introductionmentioning

confidence: 99%

The role of orientation pinning in statically recrystallized oxygen-free high-conductivity copper wire

Waryoba

Kalu

Rollett

2005

Metall Mater Trans A

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The role of orientation pinning by neighboring grains on migrating boundaries in a statically recrystallized oxygen-free high-conductivity (OFHC) copper was investigated. Two specimens of heavily drawn OFHC copper wires deformed to true strains of 2.31 and 3.56 were annealed at 170 °C and local orientations were mapped by means of the automated electron backscattered diffraction technique. Inverse pole figures, misorientation distribution functions, and grain boundary misorientations were calculated from local orientation data. In spite of annealing, the microstructure of the low-strain specimen was characterized by elongated grains, similar to the as-deformed structure, whereas the microstructure of the high-strain specimen showed a high fraction of well-defined recrystallized grains. The recrystallized grains consisted of type A grains, which mostly grew laterally with {hkl}Ͻ100Ͼ orientations, and type B grains, which generally grew axially with {hkl}Ͻ111Ͼ orientations. Type A grains were larger and of higher frequency than type B grains. The large size of Type A grains was attributed to the high frequency of the mobile boundaries with misorientations in the 40 to 50 deg range. Boundaries that were misoriented at 60 deg Ͻ111Ͼ (⌺3) were found to exert the greatest pinning effect on the growing grains. This caused recrystallized grains to grow either laterally or axially, and sometime led to "branching." A detailed analysis of the influence of the next neighbor misorientations in the perimeter of the recrystallized grains is presented.

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On the problem of grain boundary movement

Cited by 6 publications

References 4 publications

A numerical method for coupled surface and grain boundary motion

A numerical method for coupled surface and grain boundary motion

Migration of specific planar grain boundaries in bicrystals: application of magnetic fields and mechanical stresses

The role of orientation pinning in statically recrystallized oxygen-free high-conductivity copper wire

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