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which in general is a function of dislocation moments functions.
The model takes input from first-principles calculations of the dislocation/solute interaction energy and evaluates the solute strengthening due to fluctuations in solute concentration, taking into account the correlation of these fluctuations as a function of dislocation roughening.
The von Mises stress σVM in the hardening regime features two possible power-law dependencies as a function of dislocation density ρd: in the initial stages of plastic deformation we obtained σVM∝ρ2d, but changes to Taylor hardening σVM∝ρ1/2d at higher dislocation densities.
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Below the threshold stress, the LAGB remains immobile at zero dislocation climb mobility, while for finite climb mobilities, it migrates at a velocity that is directly proportional to the applied stress, with a proportionality factor that is a function of misorientation, dislocation climb mobility and extrinsic dislocation density.
The model was able to accurately predict the flow stress of aluminum alloy 6022 as a function of its dislocation structure content.
It is more physically intuitive to express this rate as a function of the corresponding first dislocation moment M 1)=|ρ|/ρ, which can be understood as the GND fraction of the total dislocation density.
Nanoindentation tests have been performed using a spherical indenter and the pop-in load has been measured as a function of the pre-existing dislocation density.
Computational predictions are made of plastic flow as a function of grain size incorporating differences of dislocation accumulation rate in grain-boundary regions and grain interiors.
This naturally leads to the percolation limit for dislocation flow between impenetrable obstacles; together with a differential equation which describes the evolution of dislocation density as a function of stress, this provides a mathematical foundation for the Taylor equation in the case of forest hardening.
The density of geometrically necessary dislocations as a function of void size is calculated based on the emission of shear loops and their outward propagation.
Open image in new window Figure 3 Variations of crystallite size and dislocation density as a function of argon gas flow.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com