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 and b (x ) denote the line and Burgers vectors respectively at point x in V, we can define a first quantity :
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Single-crystal simulation: behavior laws with internal variables
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