3. Single-crystal simulation: behavior laws with internal variables

3.1 Dislocation densities: the right internal variables?

Consider a single-crystal volume element V containing a large number of dislocations. Within the framework of continuum mechanics, we wish to follow the evolution of this microstructure during deformation by means of average quantities. If $ξ (x)$ and b (x ) denote the line and Burgers vectors respectively at point x in V, we can define a first quantity : $α ($

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Single-crystal simulation: behavior laws with internal variables

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References

(1) - CHANTRENNE (P.), VOLZ (S.) - Thermique à l'échelle submicronique. Introduction à la dynamique moléculaire. - Techniques de l'Ingénieur, traité Génie énergétique,