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Using a statistical model developed previously, both the activation volume and activation energy were evaluated and further compared with existing dislocation nucleation models.
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The source of steps can be at existing dislocations, existing crystal edges, nucleated homogeneously throughout the mineral surface or nucleated at specific defect sites.
In the present model heterogeneous nucleation of a martensitic embryo occurs spontaneously by dissociation of an existing perfect dislocation under certain conditions, such as the catalysis on grain boundaries.
A well-designed graded layer should relax the misfit strain mostly through the glide motion of existing threading dislocations instead of nucleation of new dislocation.
There, plasticity is initiated by the movement of pre-existing dislocation loops in the vicinity of the plastic zone.
The material is modeled as an elastic continuum that contains a defect microstructure consisting of a pre-existing dislocation population, dislocation sources and GBs.
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.
A double etching method has allowed distinguishing the pre-existing dislocation behaviour in the indenter stress field and the dislocation nucleated below the indenter during the pop-in.
It is reported by Meyers et al. [14] and Gray et al. [39], contrarily, that as grain size increases, the dislocation motion decreases (i.e. high pre-existing dislocation density), boundary diffusion increases and strain rate increases.
Upon unloading at different strains from stress-strain curve of 3 nm NbC/7 nm Nb sample, we were able to generate structures with various pre-existing dislocation densities inside the layers.
The pop-in behavior during plastic deformation of Ni3Al crystals is found to be closely related to the crystal orientation, pre-existing dislocation density in the sample surface, loading rate, and holding (at a constant sub-critical load) time as well.
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