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Geometrically Necessary Dislocation Density

A crystal plasticity continuum theory with length scale dependent internal residual stress and free surface effect

The long range elastic interaction between dislocations is naturally accounted in
discrete dislocation plasticity through stress field of individual dislocation.
In addition, the dislocation boundaries elastic interaction is considered via
image stress superposition approach in the finite element framework. In current
study these interaction terms are considered in crystal plasticity framework
through length scale dependent internal residual stresses which are arise from

Jeffrey Kysar's picture

Measurements of Geometrically Necessary Dislocation Densities on Individual Slip Systems

We have recently published a paper on measurements of the density of geometrically necessary dislocations (GND) associated with wedge indentation of a single face-centered cubic crystal. The deformation field is two-dimensional and there are three effective in-plane slip systems that contribute to the plastic slip. We determine the lower bound on the total GND density with a three micrometer spatial resolution. We also show that in certain regions of the domain, the lower bound on total GND density corresponds to the exact total GND density.

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