The grain boundary diffusion coefficient is the diffusion coefficient of a diffusant along a grain boundary in a polycrystalline solid. It is a physical...

weighted average of the grain boundary diffusion coefficient and the lattice diffusion coefficient. Diffusion along both the grain boundary and in the lattice...

dislocation pile-up and instead results in grain boundary diffusion. The lattice resolves the applied stress by grain boundary sliding, resulting in a decrease...

grain boundary diffusion coefficients. In general, surface diffusion occurs much faster than grain boundary diffusion, and grain boundary diffusion occurs...

materials science, a grain boundary is the interface between two grains, or crystallites, in a polycrystalline material. Grain boundaries are two-dimensional...

d and mass m (self-diffusion). In this case, the elementary mean free path theory of diffusion gives for the diffusion coefficient D = 1 3 ℓ v T = 2 3...

controlled by grain boundary sliding, the exponents become p = 1 {\displaystyle p=1} , n = 2 {\displaystyle n=2} , and the diffusion coefficient D {\displaystyle...

is the grain size, D B {\displaystyle D_{B}} is the grain-boundary diffusion coefficient, δ B {\displaystyle \delta _{B}} is the grain boundary thickness...

{\displaystyle \delta } is the grain boundary width and D b {\displaystyle D_{b}} is the diffusion coefficient in the boundary) for Coble creep which dominates...

first law of diffusion states: J = − D ( d C / d x ) , {\displaystyle J=-D(dC/dx),} where J is the diffusion flux, D is a diffusion coefficient, and dC/dx...

the diffusion coefficient of atoms along the grain boundary, Q = Q(grain boundary diffusion), m = 1, and b = 3. Because Q(grain boundary diffusion) is...

\left(-{\tfrac {Q_{f}\,+\,Q_{m}}{k_{\rm {B}}T}}\right)} is the diffusion coefficient in the grain boundary, Q f {\displaystyle Q_{f}} is the vacancy formation energy...

part consists in the formulation of a diffusion equation for Brownian particles, in which the diffusion coefficient is related to the mean squared displacement...

transport theorem – 3D generalization of the Leibniz integral rule Drag coefficient – Dimensionless parameter to quantify fluid resistance Deposition (geology) –...

Stacey; Rickman, Jeffrey M; Barmak, Katayun (2023-11-15). "Automated Grain Boundary Detection for Bright-Field Transmission Electron Microscopy Images via...

diffusional creep is by manipulating grain structure to reduce grain boundaries which tend to be pathways for easy diffusion. Typically this is done by manufacturing...

where the average tensile stresses across the grain boundaries are zero. Self-diffusion within the grains of a polycrystalline solid can cause the solid...

{D_{i}}{\pi t}}}} , where t is time, Di is the ith cation effective diffusion coefficient (cm2/d), which depends on pH of contacting water as Di = Di0·10–pH...

through a crystal until it reaches a grain boundary (the boundary between two crystals). When it reaches a grain boundary, the dislocation will disappear....

grain boundaries. Diffusion processes caused by electromigration can be divided into grain boundary diffusion, bulk diffusion and surface diffusion....

thermal expansion coefficients are different. The creation or annihilation of defects such as vacancies, dislocations, and grain boundaries will cause a volume...

diffusion occurs in the liquid at all temperatures by virtue of a high diffusion coefficient, thermal convection, Marangoni convection, etc. (   D L = ∞ {\displaystyle...

This equation is obtained when the diffusion coefficient is constant in space. When this is not case, coarse grained equations (at a coarse spatial resolution)...

forms discrete, micrometre-sized cubic particles at grain boundaries and triple points, and prevents grain growth by Ostwald ripening up to very high homologous...

Gradient theorem Gradiometer Graetz number Graham's law Grain boundary diffusion coefficient Grand Accélérateur National d'Ions Lourds Grand Unified Theory...

"Revised Enskog theory for Mie fluids: Prediction of diffusion coefficients, thermal diffusion coefficients, viscosities, and thermal conductivities". The Journal...

phase(s), grain size, and intermetallics. This affects susceptibility to deformation mechanisms such as dislocation motion, diffusion, and grain boundary sliding...

aided by diffusion along the grain boundaries (which is much faster than through the bulk). F.A. Mohamad has proposed a model for the minimum grain size achievable...

Yanzhou; Wang, Yongbiao; Long-Qing, Chen (18 June 2017). "Two Modes of Grain Boundary Pinning by Coherent Precipitates". Acta Materialia. 135: 226–232. Bibcode:2017AcMat...

the grain-size fraction dominating the process. For a fluid to begin transporting sediment that is currently at rest on a surface, the boundary (or bed)...