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In the above, c α (α = i, v) denotes the site fraction of interstitials (i) and vacancies (v).
The simulations provide the evolution of the vacancy site fraction and of the hydrostatic stress profiles in the layer.
A set of two nonlinear partial differential equations for both the vacancy site fraction and the eigenstress distributions is developed.
The equilibrium site fraction of vacancies increases with temperature and, thus, annealing and rapid quenching may lead to states with a significant vacancy supersaturation.
Hence, a specific lattice site is occupied with a regular atom, a vacancy, or a dumbbell interstitial such that ca + cv + ci = 1, where ca is the regular atom site fraction.
The formation of a vacancy site fraction profile across the layer due to active sources and sinks and due to diffusion is studied, provoking a relaxation of the residual eigenstress state.
Similar(51)
An according new diffusion equation and respective evolution equations for the three site fractions are derived.
For "Type II" sublattice models, the specific site fractions, corresponding to a given mole fraction, have to be established via internal relaxation between different sublattices.
As an instructive example development of the site fractions of the components and the eigenstress state are demonstrated for a multicomponent chemically inhomogeneous layer on a substrate.
The Manning theory of diffusion is applied and the derivation of evolution equations for all system parameters (site fractions, swelling/shrinkage and creep strain tensor) is provided.
Thus, the state of the system must be described by three independent site fractions (internal variables) corresponding to the three types of octahedral positions.
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