Single-crystal simulation: behavior laws with internal variables
Crystal plasticity and scale transition: the case of the single crystal

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M4016 V1 Article

Single-crystal simulation: behavior laws with internal variables
Crystal plasticity and scale transition: the case of the single crystal

Authors : Marc FIVEL, Samuel FOREST

Publication date: March 10, 2004 | Lire en français

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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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