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Discrete dislocation calculations suggest that statistical effects are important in the modeling of crystal plasticity. These include: (i) effects of source limited plasticity; (ii) statistical variations of dislocation sources and obstacles in small volumes; and (iii) the sensitivity of the discrete dislocation predictions to small perturbations. Implications of these for phenomenological constitutive...
The effect of a lattice friction stress on the monotonic growth of a plane strain mode I crack under small-scale yielding conditions is analyzed using discrete dislocation plasticity. When the friction stress is increased from zero to half the dislocation nucleation stress, the crack tip stress field changes from one characteristic of a plastic solid to one characteristic of an elastic solid, and...
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